A sample of pure solid naphthalene (C10H8) weighing 0.6410 g is burned completely with oxygen to CO2(g) and H2O(,) in a constant-volume calorimeter at 25°C. The amount of heat evolved is observed to be 25.79 kJ.
Write and balance the chemical equation for the combustion reaction.

Answers

Answer 1

Answer: C10H8 + 12O2 ----> 10CO2 + 4H2O

Explanation:

To balance this, we have to make sure that the same number of atoms exist at both sides (Conservation of energy)

Note:The reaction is exothermic, giving off heat energy.

Left hand side: C= 10,

H=8,

O= 2×12=24

Right hand side: C= 10×1=10,

H= 4×2=8,

O=10×2=20 (for 10CO2) and 4×1=4 (All equal to 24)

With the above analysis, it is clear that numbers had to be added to molecules to get an equal number of atoms for both sides.


Related Questions

Heat capacity is a measure of the heat required to
A) expand the volume of a substance.
B) evaporate a substance.
C) freeze a substance.
D) raise the temperature of 1 gram of a substance by 1°C

Answers

Answer: Correct answer is D) Raise the temperature of 1 gram of a substance by 1 degree.

Explanation:

Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to a given mass of a material to produce a unit change in its temperature. This is rasi

Which subatomic particles differ in number for two isotopes of the same element, and which subatomic particles will stay consistent between two isotopes of the same element? Explain how you know.

Answers

Answer:

Number of protons and electrons stay constant

Number of neutrons Differs

Explanation:

Isotopes are the different kinds of same element. Now, as we know quite well that an element can only have one atomic number, this means that the proton number is irrespective of the type of atom

Of the element. The proton number is the identity of the element.

As we know that the atom is electrically neutral, it means the number of electrons will always stay the same too.

Since isotopes are not alike in every respect, the number of neutrons differ. This means they have same atomic numbers but different mass numbers.

Answer:

Number of protons and electrons stay constant

Explanation:

The electrons stripped from glucose in cellular respiration end up in which compound?

Answers

Answer:

The electrons stripped from glucose in cellular respiration end up in compound water by the reduction of oxygen.

Explanation:

During electron transport chain electrons are donated by various reducing equivalents such as NADH,FADH2.The donated electrons then moves through various electron carriers .

       During electron transport chain oxygen(O2) act as terminal electron acceptor which accept the electron from complex 4 and thereby get reduced to form water.(H2O).

Final answer:

In cellular respiration, electrons stripped from glucose are eventually incorporated into water. They are carried through the electron transport chain via NADH and FADH2 and combine with oxygen to form water in the process of oxidative phosphorylation.

Explanation:

In the process of cellular respiration, the electrons that are stripped from glucose ultimately end up in water. The process starts with glucose undergoing glycolysis and the Krebs cycle, forming NADH and FADH2 compounds. These compounds then donate their electrons to the electron transport chain in a series of redox reactions.

During this process, free oxygen acts as the final electron acceptor in the chain. The electrons combine with hydrogen ions and the accepted oxygen to form water. This is a part of the process called oxidative phosphorylation. The other product of this process is ATP, which is the main energy currency in cells.

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If a chemical reaction such as photosynthesis begins with 6 atoms of carbon C , how many atoms of carbon C should be in the products?a. 12 atoms of carbon Cb. 6 atoms of carbon Cc. 3 atoms of carbon Cd. 2 atoms of carbon C

Answers

Answer:

Option B. 6 atoms of carbon

Explanation:

In any chemical reaction, atoms from reactant side and product side must be the same.

This is photosynthesis reaction:

6CO₂  + 6H₂O  →  C₆H₁₂O₆  +  6O₂

In the photosynthesis equation, 6CO₂ + 6H₂O becomes C₆H₁₂O₆ + 6O₂, conserving the number of carbon atoms. Therefore, if the reaction starts with 6 atoms of carbon, there will also be 6 atoms of carbon in the products.

When photosynthesis occurs, it follows the law of conservation of mass, which states that matter cannot be created or destroyed in a chemical reaction. Hence, the number of carbon atoms in the reactants must equal the number of carbon atoms in the products. The balanced chemical equation for photosynthesis is 6CO₂ + 6H₂O ⇒C₆H₁₂O₆ + 6O₂.

For this equation, 6 molecules of carbon dioxide (CO₂) containing 1 carbon atom each combine with water (H₂O) to produce glucose (C₆H₁₂O₆) and oxygen (O₂). Since we begin with 6 carbon atoms in the 6 molecules of carbon dioxide, the glucose product will also contain 6 carbon atoms because the carbon atoms are simply rearranged in this reaction.

Therefore, the answer to the question is: 6 atoms of carbon C should be in the products, which corresponds to option b. 6 atoms of carbon C.

A chemist needs 10 liters of a 25% acid solution. The solution is to be mixed from three solutions whose concentrations are 10%, 20% and 50%. How many liters of each solution will satisfy each condition? a) Use 2 liters of the 50% solution. b) Use as little as possible of the 50% solution. c) Use as much as possible of the 50% solution.

Answers

Answer:

a) 1 litre of  10% solution and 7 litre of 20% solution

b) 1.67 litres of 50% solution and 8.33 litres of the 20% solution

c) 3.75 litres of 50% solution and 6.25 litres of 20% solution

Explanation:

Given:

chemist needs = 10 liters of a 25% acid solution

Concentration of three solutions that are to be mixed = 10%, 20% and 50%.

Solution:

A) Use 2 liters of the 50% solution

Let us mix this with 10% and 20% solution

They will have to equal 8 litres

Let x=20% solution

Then (8-x) =10%

So the equation becomes,

10%(8-x)+ 20%x+50%(2)=25(10)

(0.1)(8-x) +0.2x+0.50(2)= 0.25(10)

0.8-0.1x+0.2x+1.0=2.5

0.2x-0.1x=2.5-0.8-1.0

0.1x=0.7

[tex]x=\frac{0.7}{0.1}[/tex]

x= 7

so, 8-x = 8 -7= 1 litre of  10% solution and 7 litre of 20% solution

B)Use as little as possible of the 50% solution

Let x be the amount of 50% solution.

Then(10-x) be the 20% solution

Now the equation becomes,

50%(x)+20%(10-x)=25%(10)

0.50x+0.2(10-x)=0.25(10)

0.5x+2.0-0.2x=2.5

0.3x=2.5-2.0

0.3x=0.5

[tex]x=\frac{0.5}{0.3}[/tex]

x=1.67  

now (10-x)=(10-1.67)=8.33

so there will be 1.67 litres of 50% solution and 8.33 litres of the 20% solution

c) ) Use as much as possible of the 50% solution

Let x be the amount of 50% solution.

Then(10-x) be the 20% solution

Now the equation becomes,

50%(x)+10%(10-x)=25%(10)

0.50x+0.1(10-x)=0.25(10)

0.5x+1.0-0.1x=2.5

0.4x=2.5-1.0

0.4x=1.5

[tex]x=\frac{1.5}{0.3}[/tex]

x=3.75

Now, (10-x)=(10- 3.75)=6.26

So there will be 3.75 litres of 50% solution and 6.25 litres of 20% solution

The amount of liters of each solution to satisfy each given condition are;

A) 8.33 liters of 20% solution

B) 6.25 liters of 10% solution

C) 1 liter of the 10% solution

What is the required volume of solution?

A) Use as little as possible the 50% solution.

Mix it with 20% solution only

Let x be the amount of 50% solution

Thus;

(10 - x) = 20% solution

equation:

0.50x + 0.20(10 - x) = 0.25(10)

0.5x + 2 - 0.2x = 2.5

0.3x = 2.5 - 2

0.3x  = 0.5

x = 0.5/0.3

x = 1.67 liters of 50% solution required

Thus; 10 - 1.67 = 8.33 liters of 20% solution

B) Use as little as possible of the 50% solution;

Mix it with the 10% solution only

Let x be amount of 50% solution

Thus;

(10 - x) = 10% solution

equation:

0.50x + 0.10(10 - x) = 0.25(10)

0.5x + 1 - 0.1x = 2.5

0.4x = 2.5 - 1

x = 1.5/0.4

x = 3.75 liters of 50% solution required. Thus;

10 - 3.75 = 6.25 liters of 10% solution

C) Use 2 liters of the 50% solution

Mix it with 10% and the 20% and they will have to equal 8 liters.

Let x be the amount of 20% solution

Thus;

8 - x = 10% solution

Equation:

0.20x + 0.10(8 - x) + 0.50(2) = 0.25(10)

0.20x + 0.8 - 0.10x + 1 = 2.5

0.2x - 0.1x + 1.8 = 2.5

0.1x = 2.5 - 1.8

0.1x = 0.7

x = 0.7/0..1

x = 7 liters of 20% solution

Thus; 8 - 7 = 1 liter of the 10% solution

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Bromination occurs on alkene functional groups, but not on alkenes found within aromatic functional groups, such as the phenyl ring of cinnamic acid. Chemists would describe this difference in reactivity as an example of ________________________.

Answers

Answer:

Chemoselectivity

Explanation:

Chemoselectivity is a term that refers to the preferred result of a chemical reaction between two different functional groups.

In this case, the chemical reaction would be the bromination, which is preferred (or chemoselective) towards non-aromatic alkene groups, compared to aromatic alkene groups.

Gaseous butane will react with gaseous oxygen to produce gaseous carbon dioxide and gaseous water. Suppose 3.49 g of butane is mixed with 7.0 g of oxygen. Calculate the maximum mass of carbon dioxide that could be produced by the chemical reaction. Round your answer to significant digits.

Answers

Answer:

The maximum mass of carbon dioxide that could be produced by the chemical reaction is 5.96 grams

Explanation:

The balanced reaction between gaseous butane and oxygen occurs as follows:

[tex]2 C_{4} H_{10} + 13 O_{2}[/tex]⇒[tex]8 CO_{2} +10 H_{2} O[/tex]

In order for the equation to be balanced, it was taken into account that the law of conservation of matter states that no atom can be created or destroyed in a chemical reaction, so the number of atoms that are present in the reagents has to be equal to the number of atoms present in the products.

Knowing the reaction that occurs between both reagents, it is possible to know the stoichiometry of the reaction (that is, the quantities of reagents necessary for a certain amount of products to be produced). And assuming that 3.49 g of butane are mixed with 7.0 g of oxygen it is possible to determine the limiting reagent, that is to say the reagent that is consumed first, by determining the amount of product in the reaction. When the limiting reagent is finished, the chemical reaction will stop.

In order to determine the limiting reagent, you must first determine the reacting mass of each reagent. Then you must first know the molar mass of butane and oxygen, taking into account the atomic mass of each element that composes it and the amount present:

Atomic masses:

C: 12 g/molH:  1 g/molO: 16 g/mol

Molecular Mass:

[tex]C_{4}H_{10}[/tex]: 12 g/mol *4 + 1 g/mol *10= 58 g/molO₂: 16 g/mol *2= 32 g/molCO₂: 12 g/mol + 16 g/mol *2= 44 g/molH₂O: 1 g/mol *2 + 16 g/mol= 18 g/mol

Therefore, observing the reaction, 2 moles of butane and 13 moles of oxygen react. With the previously calculated molar masses it is possible to determine the mass that reacts by stoichiometry of each reagent.

Reactive mass of each reagent:

C₄H₁₀= 2 moles* 58 g/mol= 116 gO₂= 13 moles* 32 g/mol= 416 g

Assuming that 3.49 g of butane react, and taking into account stoichiometry, it is possible to make a rule of three to determine the limiting reagent: if for 116 grams of butane to react, 416 grams of oxygen are needed, how many moles of oxygen are needed to 3.49 grams react of butane?

[tex]grams of oxygen=\frac{3.49 grams of butane* 416 grams of oxygen}{116 grams of butane}[/tex]

grams of oxygen= 12.52

Then the limiting reagent will be oxygen because a smaller amount of reagent (7 grams) is available.  Then the following calculations are made from the available 7 grams of oxygen.

First, the amount of product that is produced by stoichiometry is determined, as was previously done with the reagents:

CO₂: 8 moles* 44 g/mol= 354 gH₂O: 10 moles* 18 g/mol= 180 g

To determine the maximum mass of carbon dioxide that could cause the chemical reaction, a rule of three is applied taking into account the limiting reagent and stoichiometry: if by stoichiometry 416 grams of oxygen produce 354 grams of carbon dioxide, how many grams of product produce 7 grams of oxygen?

[tex]mass of carbon dioxide=\frac{7 grams of oxygen* 354 grams of carbon dioxide}{416 grams of oxygen}[/tex]

mass of carbon dioxide= 5.96 grams

Finally, the maximum mass of carbon dioxide that could be produced by the chemical reaction is 5.96 grams

The equilibrium constant for a certain reaction increases by a factor of 3.95 when the temperature is increased from 300.0 K to 350.0 K. Calculate the standard change in enthalpy for this reaction (assuming ∆H° is temperature independent).

Answers

Answer:

[tex]\text { The standard change in enthalpy for this reaction is } \Delta \mathrm{H}=2.397 \times 10^{4} \mathrm{J} / \mathrm{mol}[/tex]

Explanation:

Let’s assume[tex]\text { At } 300 \mathrm{K}, \mathrm{k}_{\mathrm{eq}}=\mathrm{x}[/tex]

Thus as per given information

[tex]\text { At } 350 \mathrm{K}, \mathrm{k}_{\mathrm{eq}}=3.95 \mathrm{x}[/tex]

As we know:

[tex]\ln \left(\frac{k_{2}}{k_{1}}\right)=-\frac{\Delta \mathrm{H}}{R}\left(\frac{1}{T_{2}}-\frac{1}{T_{1}}\right)[/tex]

[tex]\ln \left(\frac{3.95 x}{x}\right)=\frac{-\Delta \mathrm{H}}{8.314 \mathrm{J} \mathrm{mol}^{-1} \mathrm{K}^{-1}}[/tex]

[tex]8.314 \mathrm{J} \mathrm{mol}^{-1} \mathrm{K}^{-1} \times \ln 3.95=-\Delta \mathrm{H} \times\left(-4.761 \times 10^{-4} \mathrm{K}^{-1}\right)[/tex]

[tex]\Delta \mathrm{H}=\frac{8.314 \mathrm{J} \mathrm{mol}^{-1} \mathrm{K}^{-1} \times 1.373}{-4.761 \times 10^{-4} \mathrm{K}^{-1}}[/tex]

[tex]\Delta \mathrm{H}=2.397 \times 10^{4} \mathrm{J} / \mathrm{mol}[/tex]

The standard change in enthalpy for this reaction is mathematically given as

dH=2.397 *10^{4} J/mol

What is the standard change in enthalpy for this reaction?

Question Parameter(s):

The equilibrium constant for a certain reaction increases by a factor of 3.95 when the temperature is increased from 300.0 K to 350.0 K.

Generally, the equation for the change in enthalpy   is mathematically given as

[tex]\ln \ (\frac{k_{2}}{k_{1}})=-\frac{\Delta \mathrm{H}}{R} (\frac{1}{T_{2}}-\frac{1}{T_{1}})[/tex]

Therefore

[tex]8.314 {J} {mol}^{-1} {K}^{-1} *\ln 3.95=-d{H} *(-4.761 \times 10^{-4} {K}^{-1})[/tex]

dH=2.397 *10^{4} J/mol

In conclusion

dH=2.397 *10^{4} J/mol

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Electrolysis of a molten salt with the formula MCl, using a current of 3.86 amp for 16.2 min, deposits 1.52 g of metal. Identify the metal. (1 faraday = 96,485 coulombs) a) Li b) Na c) K d) Rb e) Ca

Answers

Answer: Option (c) is the correct answer.

Explanation:

It is known that relation between charge, current and time is as follows.

   Total charge passed = current (A) x time (s)

                      = [tex]3.86 \times 16.2 \times 60[/tex]

                    = 3751.92 C

Moles of electrons passed = [tex]\frac{\text{total charge}}{F} [/tex]

                                             = [tex]\frac{3751.92}{96485}[/tex]

                                            = 0.03889 mol

As, the given metal salt is MCl. Therefore, the reduction reaction is as follows.

         [tex]M^{+} + e^{-} \rightarrow M [/tex]

Thus, moles of M = moles of electrons = 0.03889 mol

As we known that molar mass is calculated using the formula:

     Molar mass of M = [tex]\frac{mass}{moles}[/tex]

                                  = [tex]\frac{1.52}{0.03889}[/tex]

                                 = 39.1 g/mol

We know that potassium is the metal which has molar mass as 39 g/mol.

Thus, we can conclude that the metal is identified as K (potassium).

The current passed for cell in the unit time gives the charge passes to the cell. The metal deposited in the electrolysis is Potassium.

What is electrolysis?

The electrolysis is given as the breaking of the salt for the formation of the ions under the influence of the electric current.

The charge transferred ([tex]Q[/tex]) to the cell in the given time is calculated as:

[tex]Q=\rm current\;\times\;time\\\\\textit Q=3.86\;amp\;\times\;16.2\;\times\;60\;sec\\\\\textit Q=3751.92\;C[/tex]

The moles of sample is given as:

[tex]\rm Moles=\dfrac{Charge}{Faraday} \\\\Moles=\dfrac{3751.92}{96,485} \\\\Moles=0.03889\;mol[/tex]

The mass of sample deposited is 1.5 grams, the molar mass of the sample is calculated as:

[tex]\rm Molar\;mass=\dfrac{mass}{moles} \\\\Molar\;mass=\dfrac{1.52}{0.03889}\\\\ Molar\;mass=39.1\;g/mol[/tex]

The molar mass of the compound is 39.1 g/mol. The element with molar mass 39.1 g/mol is Potassium.

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Redox reactions can be written as two half-reactions, focusing on the gain or loss of electrons by one of the chemical substances. One half-reaction shows the oxidation while the other shows the reduction. When the two half-reactions are combined, the overall reaction is obtained.

Answers

Answer:

K2Cr2O7 + HI + HClO4   Cr(ClO4)3  +  KClO4  + I2 + H2O

                                          ↓

8HClO4 + K2Cr2O7 + 6HI  →  3I₂ +  2Cr(ClO4)3 + 2KClO4  +  7H2O

Explanation:

I put and example of what you said.

Potassium dichromate and iodide acid react with perchloric acid to generate chromium perchlorate, potassium chlorate, iodine and water.

First of all think all the oxidation number of each element. One ox. number will increase and the other decrease, so those will be our half reactions (one of reduction, the other of oxidation).

In the case above, I in HI acts with -1 and I2 has 0 (all elements in ground state has 0 as oxidation number). (Increase) - Oxidation

Cr in K2Cr2O7 acts with +6, in Cr(ClO4)3 is 3+ (Decrease) -  Reduction

So, the first half reaction is:

2I⁻  →  I₂ + 2e⁻           (OXIDATION)

I have to put 2 iodides to ballance, so the total charge is 2-. It has to release 2 electrons.

Cr2O7²⁻  →  2Cr³⁺

In products side, I have to add 2 chromes but we don't have the charges ballanced. At the main equation, we have acids so this redox occurs in an acidic medium. In the acidic medium we add water, the same as oxygen we have, so:

Cr2O7²⁻  →  2Cr³⁺  +  7H2O

and in reactant side, we add protons the same as hydrogen, we have, in this case like this

14H⁺  +  Cr2O7²⁻  →  2Cr³⁺  +  7H2O

finally, we add the electrons. Chrome to decrease +6 to +3 had to lose 3 electrons but, we have 2 Cr, so 6 in total. These are final the 2 half reaction

14H⁺  +  Cr2O7²⁻  + 6e-  →  2Cr³⁺  +  7H2O  (REDUCTION)

2I⁻  →  I₂ + 2e⁻ (OXIDATION)

Electrons are not ballanced, we have to multiply by a minimum common multiple. For 2 and 6, this number is 12 so:

(14H⁺  +  Cr2O7²⁻  + 6e-  →  2Cr³⁺  +  7H2O) .2

(2I⁻  →  I₂ + 2e⁻) .6

Afterwards, we can sum the reactions:

28H⁺ + 2Cr2O7²⁻ + 12e- + 12I⁻  →  6I₂ + 12e⁻ + 4Cr³⁺  +  14H2O

As we have 12e- in both sides, we cancel them

28H⁺ + 2Cr2O7²⁻ + 12I⁻  →  6I₂ +  4Cr³⁺  +  14H2O (still balanced)

Look that all the stoichiometry is even, so we can /2.

14H⁺ + Cr2O7²⁻ + 6I⁻  →  3I₂ +  2Cr³⁺  +  7H2O

So the final reaction is:

8HClO4 + K2Cr2O7 + 6HI  →  3I₂ +  2Cr(ClO4)3 + 2KClO4  +  7H2O

We have in total 14H+, so 6 protons are for HI and 8 for the HClO4.

What acid and what base would react in aqueous solution so that the following salts appear as products in the molecular equation? Write the balanced molecular equation for each reaction.
a. potassium perchlorate
b. cesium nitrate
c. calcium iodide

Answers

Answer:

A. Perchloric acid and potassium hydroxide

B. Trioxonitrate V acid and Cesium hydroxide

C. Hydroiodic acid and calcium hydroxide

Explanation:

An acid reacts with a base to form salt and water. The acid and the base that reacted for each of the compounds have been written in the answer above. The reaction equations are given below:

A. HClO4 (aq) + KOH (aq) ———> KClO4 (aq) + H2O (l)

B. HNO3 (aq) + CsOH (aq) ———-> CsNO3 (aq) + H2O (l)

C. 2HI (aq) + Ca(OH)2 (aq) ———> CaI2 (aq) + 2H2O (l)

Final answer:

The salts potassium perchlorate, cesium nitrate and calcium iodide are formed from the acids perchloric acid, nitric acid and hydroiodic acid respectively reacting with the bases potassium hydroxide, cesium hydroxide and calcium hydroxide. The reactions are balanced accordingly to ensure mass conservation.

Explanation:

To form the given salts through an acid-base reaction, we can make use of the fact that a salt is formed when an acid and a base react together. For each salt, we would need a metal hydroxide (base) and an acid whose anion corresponds to the anion in the salt.

For potassium perchlorate (KClO4), the base would be potassium hydroxide (KOH) and the acid would be perchloric acid (HClO4). The balanced molecular equation would be: KOH + HClO4 → KClO4 + H2O. For cesium nitrate (CsNO3), the base would be cesium hydroxide (CsOH) and the acid would be nitric acid (HNO3). The balanced molecular equation would be: CsOH + HNO3 → CsNO3 + H2O. For calcium iodide (CaI2), the base would be calcium hydroxide (Ca(OH)2) and the acid would be hydroiodic acid (HI). The balanced molecular equation would be: Ca(OH)2 + 2HI → CaI2 + 2H2O.

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A sample of 0.0883 g of M g, which has a molar mass of 24.31 g/mol, produces 82.1 mL of H 2 gas. The gas is collected over water at atmospheric pressure of 766.7 mm Hg at 22 oC, at which the vapor pressure of water is 19.8 mm Hg. What is the experimental value for the molar volume of the gas in L/mol?

Answers

Answer:

24 Lt/mol

Explanation:

Though we have many data here (such as molar mass of Mg, water vapor pressure, etc), we need to focus on data for H₂, which will help us to obtain the molar volume of this gas

Statement refers the following data for H₂:

V = 82.1 ml = 0.082 Lt

T = 22°C = 295 K

P atm = 766.7 mm Hg = 1.0089 atm (which is, the pressure for H₂ before being collected in water)

If we consider H₂ behaves as an ideal gas:

PV = nRT

Then we can move some terms from this ecuation :

V/n = RT/P so we can obtain the relation between V (volume) and n (N° of moles) for H₂, which is the experimental valur for the molar volume

Considering R = 0.082 Lt*atm/K*mol:

V/n = [(0.082 Lt*atm/K*mol)x295 K]/1.0089 atm

V/n = 23.97 Lt/mol (molar volume at this experiment conditions)

When a radioactive isotope decays into a nucleus which is also unstable and undergoes decay, and this process is repeated several times, the succession of reactions is called a________.
a. fission reaction.
b. decay series.
c. half-life.
d. fusion reaction.
e. none of these

Answers

Answer:

Decay series

Explanation:

A succession of radioactive decay is termed decay series. The radios decay of an unstable nuclei usually continues until a stable isotope is reached. This continuous decay of radioactive isotopes is also known as a radioactive cascade.

It is important to note that most radioisotopes do not decay directly to form a stable nuclei. Instead, they undergo a series of decay until a stable isotope is formed. An example of a decay series can be seen in the decay of uranium-238 to uranium-234.

U-238 is more radioactive than U-234. U-238 first undergoes an alpha particle decay to form thorium 234. This is known as the daughter nuclei. Afterwards, thorium 234 undergoes decay to give protactinium 234. This then undergoes a beta negative decay to form the uranium 234 nuclei.

A container holds a mixture of two gases at The partial pressures of gas A and gas B, respectively, are and If of a third gas is added with no change in volume or temperature, what will the total pressure become?

Answers

Answer:

The total pressure will be the sum of  the partial pressure of these three gases.

Explanation:

According to Dalton law of partial pressure,

The total pressure exerted by mixture of gases is equal to the sum of partial pressure of the individual gas.

This expression can be written as,

P(total) = P₁ + P₂ + P₃ + ...... Pₙ

For example:

If the pressure of A is 2 atm and Partial pressure of B is 4 atm the total pressure will be,

P(total) = P₁ + P₂

P(total) = 2 atm + 4atm

P(total) = 6 atm

when third gas is added which exert the partial pressure of 4 atm,

Then total pressure will becomes,

P(total) = P₁ + P₂ + P₃

P(total) = 2 atm + 4atm + 4 atm

P(total) = 10 atm

Which is an example of transforming potential energy to kinetic energy? Select two options. changing thermal energy to electrical energy changing chemical energy to thermal energy changing nuclear energy to radiant energy changing radiant energy to electrical energy changing mechanical energy to chemical energy

Answers

Answer:

changing chemical energy to thermal energy

changing nuclear energy to radiant energy

Explanation:

Chemical energy can also be referred to as chemical potential energy which is the energy stored in the bonds of chemical compounds while thermal energy is a form of kinetic energy because it also involves the movement of particles.

Nuclear energy is the potential energy present in an atom while radiant energy is a form of kinetic energy that involves the movement of particles or waves during electromagnetic radiation.

Final answer:

The examples of transforming potential energy to kinetic energy are changing the chemical energy in food to kinetic energy for movement, such as riding a bicycle, and converting electromagnetic radiation (light energy) from the sun into chemical energy through photosynthesis in plants.

Explanation:

Transforming potential energy to kinetic energy occurs when an object, initially at rest due to its position in a gravitational field, descends. As the object falls, potential energy decreases, and kinetic energy increases. This conversion follows the principle of conservation of energy, with the total energy remaining constant, neglecting external factors like air resistance.

The examples of transforming potential energy to kinetic energy are: changing the chemical energy in food to kinetic energy for movement, such as riding a bicycle, and converting electromagnetic radiation (light energy) from the sun into chemical energy through photosynthesis in plants.

The oxidative phase of the pentose phosphate pathway is___________.
A. reversible under physiological conditions.
B. has an enzyme requiring thiamine pyrophosphate as a coenzyme.
C. produces ribulose‑5‑phosphate and NADPH for biosynthetic processes.
D. converts pentoses to hexoses.

Answers

Answer:

C: Produces ribulose-5-phosphate and NADPH for biosynthetic processes.

Explanation:

There are two distinct phases in the pathway. The first is the oxidative phase, in which NADPH is generated, and the second is the non-oxidative synthesis of 5-carbon sugars. For most organisms, the pentose phosphate pathway takes place in the cytosol; in plants, most steps take place in plastids.

The oxidative phase of the pentose phosphate pathway generates ribulose-5-phosphate and NADPH for biosynthetic processes. Option C the correct choice.

The oxidative phase of the pentose phosphate pathway produces ribulose‑5‑phosphate and NADPH for biosynthetic processes. This phase starts with the oxidation of glucose-6-phosphate, catalyzed by glucose-6-phosphate dehydrogenase, generating NADPH and 6-phosphogluconolactone.

Following steps produce ribulose-5-phosphate, another molecule of NADPH, and release CO₂. Ribulose-5-phosphate can then be isomerized to ribose-5-phosphate or enter further reactions leading to the synthesis of other pentose phosphates as well as fructose 6-phosphate and glyceraldehyde 3-phosphate, which are intermediates in glycolysis.

Thus, the correct answer is C.

How many orbitals are there in the shell with n = 4?

Answers

Answer:

16

Explanation:

The number of orbitals can be calculated when energy level is given.

For example:

n = 4

So in 4th energy level number of orbitals are,

n² = 4² = 16

There are 16 orbitals when n=4

One is 4s three are 4P five is 4d and seven are 4f.

while the number of electrons in energy level can be calculated as

2n²

n is energy level.

For n=4

number of electrons are,

2(4)² = 32

A particular container holds 4.67 mol of neon gas. The volume of this container can be altered by sliding a piston in or out. The volume is changed from 8.90 L to 7.60 L while at the same time the temperature is changed from 344 K to 294 K. The molar heat capacity, CV,m, for neon is 12.47 J/(mol · K). Assume that this value will not change over the given temperature range. What is the change in entropy for the gas?

Answers

Answer:

15.24 J/K

Explanation:

First, let's write the expression to calculate the change in entropy:

ΔS = n*C*ln(T2/T1)

C is the heat capacity. It will be Cp if the heating is isobaric, and Cv if it is isochoric. (In this case is Cv)

Now, in order to do this, we need to calculate first the pressure of the gas at first, and then, after the chance:

P = nRT/V

P1 = 4.67 *¨0.082 * 344 / 8.9 = 14.801 atm

P2 = 4.67 * 0.082 * 294 / 7.6 = 14.814 atm

Now, let's calculate the change in entropy:

ΔS = 4.67 * (12.47 + 8.314) ln(344/294)

ΔS  = 15.24 J/K

The average human body contains 5.60 L of blood with a Fe2 concentration of 3.00×10−5 M . If a person ingests 9.00 mL of 11.0 mM NaCN,
what percentage of iron(II) in the blood would be sequestered by the cyanide ion?

Answers

Answer:

9.82% of iron (II) will be sequestered by cyanide

Explanation:

We should first consider that Iron (II) and cyanide react to form the following structure:

[Fe(CN)₆]⁻⁴

Having considered this:

5.60 Lt Fe(II) 3.00x10⁻⁵ M ,this is, we have 5.60x3x10⁻⁵ =  1.68x10⁻⁴ moles of Fe⁺² (in 5.60 Lt)

Then , we have 9 ml NaCN 11.0 mM:

9 ml = 0.009 Lt

11.0 mM (milimolar) = 0.011 M (mol/lt)

So: 0.009x0.011 = 9.9x10⁻⁵ moles of CN⁻ ingested

As we now that the complex structure is formed by 1 Fe⁺² : 6 CN⁻ :

9.9x10⁻⁵ moles of CN⁻ will use 1.65x10⁻⁵ moles of Fe⁺² (this is, this amount of iron (II) will be sequestered

[(1.65x10⁻⁵ sequestred Fe⁺²)/(1.68x10⁻⁴ total available Fe⁺²)x100

% sequestered iron (II) = 9.82%

Combustion Analysis of a compound containing N: While the composition of Carbon and Hydrogen can be determined directly from combustion analysis, elements like N and S have to be determined by separate methods. Use information provided for next 5 questions: A compound contains only carbon, hydrogen, nitrogen, and oxygen. Combustion of a 2.18 g sample burns in excess oxygen yields 3.94 g of CO2 and 1.89 g of H2O. A separate experiment shows that a 1.23 g sample contains 0.235 g of N. Calculate the moles of C in the sample.

Answers

Answer:

0.1 moles

Explanation:

Okay, the explanation here is pretty long. Let’s go!

Firstly, we know that the compound contains only carbon, hydrogen, oxygen and nitrogen. So the molecular formula would look like this CxHyOzNp

Where x , y, z and p are number of atoms of each element present respectively. According to the law of constant composition, the ratio of the number of atoms are fixed irrespective of the source or method of preparation. From this, we now know that in both samples, we have the same number of atoms. What is proper to do is to calculate the numbers, we do that as follows.

Firstly, we will need to calculate these numbers using the masses given in the first sample. Over the calculations, we should note that the formula we would be using is the relation: mass = number of moles * atomic mass or molar mass. Rearranging the equation gives different variations of the formula.

Now let’s do some mathematics.

There is 3.94g of carbon iv oxide, we can calculate the number of moles of it present which eventually would yield the number of moles of carbon present.

The molar mass of carbon iv oxide is 44g/mol.

The number of moles of carbon iv oxide present is thus 3.94/44 = 0.0895 moles

Since there is just 1 atom of carbon present in carbon iv oxide, this means the number of moles of carbon present is also 0.0895 moles

The mass of carbon present is the number of moles of it present multiplied by the atomic mass unit of carbon which is 12. This mass is 0.0895 * 12 = 1.0745g

Next, we calculate the number of moles of hydrogen and consequently its mass present.

To get this, we can access it from the number of moles of water present.

We get this by dividing the mass of water present by the molar mass of water. This is equals 1.89/18 = 0.105 moles. Now we know that 1 mole of water has 2 atoms of hydrogen, hence 1 mole of water will yield 2 moles of hydrogen. The number of moles of hydrogen present is thus 0.105 * 2 = 0.21 moles.

The mass of hydrogen thus present is 0.21 * 1 = 0.21g

Now, we know the mass of hydrogen present and the mass of carbon present. But, we do not know the mass of oxygen and nitrogen present.

To get this, we subtract the mass of hydrogen and carbon present from the mass of the total= 2.18 - 1.0745 - 0.21 = 0.8955g

Now we know the mass of oxygen and nitrogen combined. We can access their number of moles using their respective atomic masses. The total number of moles present is equal 0.8955/30 = 0.02985 moles

Wondering where 30 came from? The atomic mass of nitrogen and oxygen are 14 and 16 respectively. We now get the number of moles of both present. This is equal to the atomic mass divided by the total mass multiplied by the number of moles.

For oxygen = 16/30 * 0.02985 = 0.01592

For nitrogen = 14/30 * 0.02985 = 0.01393

From this we can try and get an empirical formula for the compound. This helps us to know the ratios of the number of atoms. To get this , we divide the number of moles by the smallest number of moles. The smallest number of moles is unarguably that of nitrogen. The empirical formula is calculated as follows:

C = 0.0895/0.01393 = 6

H = 0.21/0.01393 = 15

O = 0.01592/0.01393 = 1

N = 0.01393/0.01393 = 1

Thus, the empirical formula looks like this :

C6H15NO

Now, we can move to the second sample.

We know that the sample contains 0.235g of nitrogen. We first need to get the number of moles of nitrogen present in the sample. To get this, we simply divide this mass by the atomic mass. That is: 0.235/14 = 0.0168 moles

Now since the question asks us to get the number of moles of carbon and we know that in any elemental analysis, the ratio of carbon to nitrogen is 6 to 1, we simply multiply the number of moles of nitrogen by 6.

Hence, this is 0.0168 * 6 = 0.1 moles

Final answer:

The moles of carbon in the sample can be calculated using the mass of CO2 produced during combustion. The calculated moles of carbon are 0.0895 mol, based on the provided mass of CO2 and its molar mass.

Explanation:

The question asks how to calculate the moles of carbon in a sample based on combustion analysis data. To find the moles of carbon, we use the mass of CO2 produced during combustion. Since each mole of CO2 contains one mole of carbon, the moles of CO2 will equal the moles of carbon. The mass of CO2 produced is 3.94 g. The molar mass of CO2 is 44.01 g/mol.

Using the formula moles = mass / molar mass, the moles of carbon can be calculated as:

Moles of C = 3.94 g CO2 / 44.01 g/mol = 0.0895 mol C

This calculation determines the amount of carbon present in the sample by analyzing the carbon dioxide produced during combustion.

Rank the following salts in order of decreasing pH of their 0.1 M aqueous solutions.(a) FeCl2, FeCl3, MgCl2, KClO2 .(b) NH4Br, NaBrO2, NaBr, NaClO2.

Answers

Answer:

a) FeCl2, FeCl3, MgCl2, KClO2.

KClO2 --> K+ + ClO2-; ClO2- will hydrolyse to form HClO +OH-

Mg+2, Fe+2 and Fe+3 ions will form acidic solutions, since theyfom slightly amount of

Mg+2 + 2H2O <-> Mg(OH)2 + 2H+

Fe+2 + 2H2O <-> Fe(OH)2 + 2H+

Fe+3 + 3H2O <-> Fe(OH)3 + 3H+

Therefore;

decreasing pH is high pH to low pH:

KClO2 > MgCl2 > FeCl2 > FeCl3

b) NH4Br, NaBrO2, NaBr, NaClO2.

NH4Br is acidic, forms NH4+ and NH4+ dnates H+ to form NH3 andH+

NaBrO2 is basic, forms Na+ + BrO2- then H2O + BrO2- HBrO2

NABr is neutral, NaClO2 is basics, forms Na+ + ClO2-then H2O + ClO2- HClO2

decreasig pH:

NaClO2 > NaBrO2 > NaBr >NH4Br

Note that HClO2 is stronger acid than HBrO2, therefore, expectmore HBrO2 formation

NaBrO2 > NaClO2 > NaBr >NH4Br

The order in (a) is; FeCl2, FeCl3, MgCl2, KClO2. The order in (b) is; NaBrO2 > NaClO2 > NaBr >NH4Br

The term pH refers to the degree of acidity or alkalinity of a solution. We must recall that salts are solvated in solution. The pH of the solution after solvation depends on the ions produced by the salt in solution.

Since FeCl2  yields a basic solution, then it has the highest pH. Similarly, KClO2 yields an acid solution hence it has the lowest pH. The order in (a) is; FeCl2, FeCl3, MgCl2, KClO2. The order in (b) is; NaBrO2 > NaClO2 > NaBr >NH4Br

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Calculate ΔH o rxn for the following reaction, after it is properly balanced with smallest whole-number coefficients: C2H6(g) + O2(g) → CO2(g) + H2O(g)[unbalanced] ΔH o f [C2H6(g)] = −84.667 kJ/mol ΔH o f [CO2(g)] = −393.5 kJ/mol ΔH o f [CO2(aq)] = −412.9 kJ/mol ΔH o f [H2O(g)] = −241.826 kJ/mol ΔH o f [H2O(l)] = −285.840 kJ/mol

Answers

Answer:

The enthalpy of the reaction is -2855.622 kilo Joules.

Explanation:

[tex]2C_2H_6(g) + 7O_2(g)\rightarrow 4CO_2(g) + 6H_2O(g)[/tex]

We are given:

[tex]\Delta H^o_f_{(C_{2}H_6(g))}= -84.667 kJ/mol[/tex]

[tex]\Delta H^o_f_{O_2((g))}= 0 kJ/mol[/tex]

[tex]\Delta H^o_f_{CO_2((g))}= -393.5 kJ/mol[/tex]

[tex]\Delta H^o_f_{H_2O((g))}= -241.826 kJ/mol[/tex]

The equation used to calculate enthalpy of reaction :

[tex]\Delta H^o_{rxn}=\sum [n\times \Delta H^o_f(product)]-\sum [n\times \Delta H^o_f(reactant)][/tex]

The equation for the enthalpy change of the above reaction is:

[tex]\Delta H^o_{rxn}=(4 mol\times \Delta H^o_f_{(CO_2(g))}+6 mol\times \Delta H^o_f_{(H_2O(g)))}-(2 mol\times \Delta G^o_f_{(C_{2}H_6(g))}+7 mol\times \Delta H^o_f_{(O_2(g)))[/tex]

Putting values in above equation, we get:

[tex]\Delta H^o_{rxn}=[4 mol\times (-393.5 kJ/mol)+6 mol\times (-241.826 kJ/mol)]-[2 mol\times (-84.667 kJ/mol)+7 mol\times 0 kJ/mol][/tex]

[tex]=-2855.622 kJ[/tex]

The enthalpy of the reaction is -2855.622 kilo Joules.

The enthalpy change for the reaction is   -2855.622  kJ/mol

Recall that enthalpy(ΔH) is a state function so;

ΔHreaction = ∑ΔHproducts - ΔHreactants

So;

The equation of the reaction is; (Recall that the question specified that we should use the smallest whole number coefficients)

2C2H6(g) + 7 O2(g) -----> 4CO2(g) + 6H2O(g)

The enthalpy of each of the reactants and products are given below;

[C2H6(g)] = −84.667 kJ/mol

O2 g = 0 KJ/mol ( O2 exists in its standard state)

[CO2(g)]  =  −393.5 kJ/mol

[H2O(g)] = −241.826 kJ/mol

Hence;

ΔHreaction = ∑[4 × (−393.5) + 6 × (−241.826)] - [2 × (−84.667) + (7 × 0)]

ΔHreaction = -2855.622  kJ/mol

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A sample of oxygen gas is collected over water at 25°C and a total pressure of 642 torr. The volume of the gas collected is 500.0 mL. What mass of oxygen is collected? The vapor pressure of water at 25°C is 23.8 torr.

Answers

Answer:

0.272g

Explanation:

To calculate the mass of oxygen collected, we can calculate the number of moles of oxygen collected and multiply this by the molar mass of oxygen.

To calculate the number of moles of oxygen collected, we can use the ideal gas equation I.e PV = nRT

Rearranging the equation, n =PV/RT

We now identify each of the terms below before substituting and calculating.

n = number of moles, which we are calculating.

R = molar gas constant = 62.64 L.Torr. K^-1. mol^-1

V = volume = 500ml : 1000ml = 1L, hence , 500ml = 500/1000 = 0.5L

T = temperature = 25 degrees Celsius = 273 + 25 = 298K

P = pressure. But since the gas was collected over water, we subtract the vapour pressure of water from the total pressure = 642- 23.8= 618.2torr

We substitute these values into the equation to yield the following:

n = (618.2 × 0.5) ÷ ( 62.64 × 298)

n = apprx 0.017moles

To calculate the mass of oxygen collected, we need the atomic mass of oxygen. = 16 amu

Thus the mass of oxygen collected = 0.017mole × 16g= 0.272g

Final answer:

To find the mass of oxygen collected over water, we can use the ideal gas law equation and the given values of total pressure, volume, temperature, and vapor pressure of water. By rearranging the equation and calculating the number of moles, we can then determine the mass of oxygen using its molar mass.

Explanation:

To find the mass of oxygen collected, we need to use the ideal gas law equation, PV = nRT, where P is the total pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperature from Celsius to Kelvin by adding 273.15: 25°C + 273.15 = 298.15K.

To calculate the number of moles, we need to subtract the vapor pressure of water (23.8 torr) from the total pressure (642 torr) to obtain the partial pressure of oxygen: 642 torr - 23.8 torr = 618.2 torr.

Now we can rearrange the ideal gas law equation to solve for n:

n = (PV) / (RT) = (618.2 torr * 0.5 L) / (0.0821 L·atm/mol·K * 298.15K)

Using this value of n, we can calculate the mass of oxygen using the molar mass of oxygen (32 g/mol):

mass = n * molar mass = 0.0126 mol * 32 g/mol = 0.4032 g.

While chemical buffer systems like the bicarbonate-carbonic acid buffer system are primary lines of defense in preventing pH imbalances, what are other organs are associated with this defense?
A. Lung and Kidneys
B. Lungs and Stomach
C. Lungs and Liver
D. Lungs and Intestinal tract

Answers

Answer:

Lung and Kidneys are associated with this defence.

Explanation:

An aqueous solution that resists change because of the addition of an acid or base solution is known as a buffer. Thus, it comprises of conjugate base and a weak acid. The bicarbonate buffer system is the one that is associated with the respiratory system.

To maintain the pH of  and duodenum this buffer system balances carbonic acids, bicarbonate ions and carbon dioxide. It serves to neutralises gastric in the stomach.

Which of the following is TRUE? a) A neutral solution contains [H2O] = [H3O⁺] b) A neutral solution does not contain any H3O+ or OH- c) An acidic solution has [H3O⁺] > [OH⁻] d) A basic solution does not contain H3O+ e) None of the above are true.

Answers

An acidic solution has [tex][H_3O^+][/tex] > [tex][OH^-][/tex]

Explanation:

pH is the negative logarithm of hydronium ion concentration present in a solution.

If the solution has high hydrogen ion concentration, then the pH will be low and the solution will be acidic. The pH range of acidic solution is 0 to 6.9. The solution has more [tex][H_3O^+][/tex] than [tex][OH^-][/tex]

If the solution has low hydrogen ion concentration, then the pH will be high and the solution will be basic. The pH range of basic solution is 7.1 to 14. The solution has more [tex][OH^-][/tex]  than [tex][H_3O^+][/tex]

The solution having pH equal to 7 is termed as neutral solution.The solution has equal concentration of [tex][H_3O^+][/tex] and [tex][OH^-][/tex]

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The dissolution of 0.200 l of sulfur dioxide at 19 °c and 745 mmhg in water yields 500.0 ml of aqueous sulfurous acid. The solution is titrated with 13.4 ml of sodium hydroxide. What is the molarity of naoh?

Answers

Answer:

[tex]Molarity=1.22\ M[/tex]

Explanation:

Given:  

Pressure = 745 mm Hg

Also, P (mm Hg) = P (atm) / 760

Pressure = 745 / 760 = 0.9803 atm

Temperature = 19 °C

The conversion of T( °C) to T(K) is shown below:

T(K) = T( °C) + 273.15  

So,  

T₁ = (19 + 273.15) K = 292.15 K  

Volume = 0.200 L

Using ideal gas equation as:

[tex]PV=nRT[/tex]

where,  

P is the pressure

V is the volume

n is the number of moles

T is the temperature  

R is Gas constant having value = 0.0821 L.atm/K.mol

Applying the equation as:

0.9803 atm × 0.200 L = n × 0.0821 L.atm/K.mol × 292.15 K  

⇒n = 0.008174 moles

From the reaction shown below:-

[tex]H_2SO_3+2NaOH\rightarrow Na_2SO_3+2H_2O[/tex]

1 mole of [tex]H_2SO_4[/tex] react with 2 moles of [tex]NaOH[/tex]

0.008174 mole of [tex]H_2SO_4[/tex] react with 2*0.008174 moles of [tex]NaOH[/tex]

Moles of [tex]NaOH[/tex] = 0.016348 moles

Volume = 13.4 mL = 0.0134 L ( 1 mL = 0.001 L)

So,

[tex]Molarity=\frac{Moles\ of\ solute}{Volume\ of\ the\ solution}[/tex]

[tex]Molarity=\frac{0.016348}{0.0134}\ M[/tex]

[tex]Molarity=1.22\ M[/tex]

The temperature and number of moles of a gas are held constant. Which of the following is true for the pressure of the gas?
A. It is inversely proportional to the volume of the gas.
B It is directly proportional to the volume of the gas.
C It is inversely proportional to the mass of the gas.
D It is equal to the mass of the gas.

Answers

Answer:

Pressure is inversely proportional to the volume of gas.

Explanation:

According to Boyle's law,

The volume of given amount of gas is inversely proportional to the pressure applied on gas at constant volume and number of moles of gas.

Mathematical expression:

P ∝ 1/ V

P = K/V

PV = K

when volume is changed from V1 to V2 and pressure from P1 to P2 then expression will be.

P1V1 = K         P2V2 = K

P1V1 = P2V2

Final answer:

In gases, pressure and volume are inversely related at constant temperature. Furthermore, pressure is directly proportional to temperature and volume is directly proportional to absolute temperature.

Explanation:

At constant temperature, the volume of a fixed number of moles of gas is inversely proportional to the pressure. This means that when the pressure doubles, the volume will halve.

Moreover, pressure is directly proportional to temperature when volume is constant, and the volume of a gas sample is directly proportional to its absolute temperature at constant pressure.

covalent molecular solids (like sugar) and covalent network solids (like diamond) have similar bonds and bond strengths. However, molecular solids are brittle and network solids are very strong and durable. Explain the difference.

Answers

Answer:

Covalent molecular solids (like sugar): No intermolecular covalent bonds

Covalent network solids (like diamond) : Intermolecular covalent interactions are present.

Explanation:

Covalent moleuclar solids are the solids which have "intera-molecular" covalent bonds i.e the covalent bonds exist between two atoms within the same molecule. The intermolecular bonds are not covalent. They are some weak intermolecular interactions like hydrogen bonds or disperison forces.

In case of covalent network solids, the intermolecular interactions are also strong covalent bonds. Thus they give a more strength and firmness to the compound or solid.

A client has been caring for an ailing mother for 18 months. In addition, the client has recently lost a job and is having difficulty finding a new one. Blood pressure has recently been running higher than normal. What is the client experiencing? 1 Allostasis 2 Homeostasis 3 Allostatic overload 4 Chronic homeostasis

Answers

Answer: The client is experiencing Allostatic overload.

Explanation:

Allostatic load is known as the wear and tear on the body which accumulates as an individual is exposed to repeated or chronic stress. "Chronic Stress" here, is caused by the difficulty of the client getting a new job coupled with the client caring for their ailing mother.

After each charging, a battery is able to hold only 98% of the charge from the previous charging. The battery was used for 20 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?

Answers

Final answer:

To find the total number of hours the battery can be used over its lifetime, we need to determine the number of times the battery can be recharged and calculate the cumulative usage hours. The battery loses 2% of its charge after each charging, retaining 98% of the previous charge. Using the formula for the sum of a geometric series, the total number of hours the battery can be used is calculated to be 1000 hours.

Explanation:

To find the total number of hours the battery can be used over its lifetime, we need to determine the number of times the battery can be recharged and calculate the cumulative usage hours. Since the battery loses 2% of its charge after each charging, it retains 98% of the previous charge. We can use this information to create a geometric sequence

First term (a) = 20 hours

Common ratio (r) = 98% or 0.98

Number of terms (n) = number of times the battery can be recharged

Using the formula for the sum of a geometric series, we can calculate the total number of hours the battery can be used:

Sum = a(1 - r^n) / (1 - r)

Substituting the given values:

Sum = 20(1 - 0.98^n) / (1 - 0.98)

For a battery with unlimited lifetime, where n approaches infinity, the sum approaches 20 / (1 - 0.98) = 1000 hours.

This means that the battery can be used for a total of 1000 hours over its lifetime.

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PLISSSS hurry i need help!!!!!!!What group is found at the top of the early Christian church hierarchy?a.the archbishopsc.the priestsb.the patriarchsd.the bishops kim is saving monyfor a trip this summer. She already has some money in her savings account and will add the same amount to her account each week. At the end of 2 weeks, Carla has $130. At the end of 8 weeks, she has $280. Write a linear function in the form y = mx + b to represent the amount of money, m, that Carla has saved after w weeks. the mean amount of money spent per week on gas by a sample of 25 drivers was found to be $57.00 with a standard deviation of $2.36. assuming the population distribution is normally distributed construct and interpret a 90% confidence interval for the mean amount of money spent on Gas per week 85 students went on a field trip. three buses were filled and 25 students traveled in cars. how many students were in each bus? This election saw thomas jefferson become president over aaron burr Electromagnetic radiation of 5.161016 Hz frequency is applied on a metal surface and caused electron emission. Determine the work function of the metal if the maximum kinetic energy (Ek) of the emitted electron is 4.0410-19 J. Calculate the percent error1. Jerri estimates that 30 people would attend the dinner event but only 25 people attended.2. Gene estimated the length of the fence to be 150 feet, but the actual measurement was 142 feet. ________ involve the flow of merchandise through distribution channels, usually across international borders, other than those authorized or intended by the manufacturer or producer. a. Chargebacks b. Lift-outs c. Gray-market goods d. Exclusive dealing arrangements e. Reverse auctions if x=3t-8 and y=4+t, what equation expresses y in terms of x? In the following example, which element is the dominant element? Black background, pink text, pink polka dots Bingerton Industries uses a perpetual inventory system. The company began the year with inventory of $93,000. Purchases of inventory on account during the year totaled $318,000. Inventory costing $343,000 was sold on account for $536,000. Record transactions for the purchase and sale of inventory. Ayer temprano por la maana (1) (haber) un trgico accidente en el centro de San Jos cuando el conductor de un autobs no (2) (ver) venir un carro. La mujer que (3) (manejar) el carro (4) (morir) al instante y los paramdicos (5) (tener) que llevar al pasajero al hospital porque (6) (sufrir) varias fracturas. El conductor del autobs (7) (decir) que no (8) (ver) el carro hasta el ltimo momento porque (9) (estar) muy nublado y (10) (llover). l (11) (intentar) (to attempt) dar un viraje brusco (to swerve), pero (12) (perder) el control del autobs y no (13) (poder) evitar (to avoid) el accidente. Segn nos informaron, no (14) (lastimarse) ningn pasajero del autobs. When large numbers of students are taught to react to the same situations with identical responses, it is called ________. a) an informal tactic b) a collective tactic c) a serial tactic d) a random tactic A deputy sheriff rides a horse while directing traffic, what energy is being used? In a coffee-cup calorimeter experiment, 10.00 g of a soluble ionic compound was added to the calorimeter contained 75.0 g H2O initially at 23.2C. The final temperature of the solution was 31.8C. What was the change in enthalpy for the dissolution of this compound? An individual's ecological footprint is equivalent to the:a.total amount of food consumed by that individual.b.total amount of energy used by that individual.c.total amount of carbon emissions from that individual's car.d.amount of land required to provide all the resources used by that individual.e.All of these choices are correct. A random variable x has a Normal distribution with an unknown mean and a standard deviation of 12. Suppose that we take a random sample of size n = 36 n=36 and find a sample mean of x = 98 x=98 . What is a 95% confidence interval for the mean of x ? The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function? Why was the building of canals, such as the Erie Canal, vital to economic growth in the United States in the nineteenth century?Group of answer choicesCanals linked western ranches with industrial meatpacking centers in the northeast.Canals improved the speed and efficiency of transportation within the country.Canals provided a large source of tax revenue for the federal government.Canals made it much easier for settlers to travel to western territories. an object weighs 50 N on Jupiter and another object weighs 50 N on the earth. Which has greater mass?