Calculate the amounts requested if 3.30 mol Fe2O3 completely react according to the following equation. Fe2O3 + 2Al --> 2Fe + Al2O3
a. moles of aluminum needed
b. moles of iron formed
c. moles of aluminum oxide formed

Answers

Answer 1
A. Moles of Aluminum needed;

Reaction is as follow,

                                Fe₂O₃ + 2 Al      →    2 Fe + Al₂O₃ 
According to eq,

                              1 mole Fe₂O₃ required  =  2 mole of Al
So,
                       3.30 mol Fe₂O₃ will require  =  X moles of Al

Solving for X,
                     X  =  (2 mol × 3.30 mol) ÷ 1 mol

                     X  =  6.6 mol of Al

B. Moles of Iron formed:

According to eq,

                              1 mole Fe₂O₃ produced  =  2 mole of Fe
So,
                       3.30 mol Fe₂O₃ will produce  =  X moles of Fe

Solving for X,
                     X  =  (2 mol × 3.30 mol) ÷ 1 mol

                     X  =  6.6 mol of Fe

C. Moles of Aluminum Oxide formed:

According to eq,

                              1 mole Fe₂O₃ produced  =  1 mole of Al₂O₃
So,
                       3.30 mol Fe₂O₃ will produce  =  X moles of Al₂O₃

Solving for X,
                     X  =  (1 mol × 3.30 mol) ÷ 1 mol

                     X  =  3.30 mol of Al₂O₃

Related Questions

Given the equation, c2h4(g + 3o2(g ? 2co2(g + 2h2o(l +1411 kj, how much heat is released when 8.00 g of o2 react?

Answers

Answer is: 117.58 kJ of heat is released when oxygen react.
Chemical reaction: C₂H₄ + 3O₂ → 2CO₂ + 2H₂O; ΔH = +1411 kJ.
m(O₂) = 8.00 g.
n(O₂) = m(O₂) ÷ M(O₂).
n(O₂) = 8 g ÷ 32 g/mol.
n(O₂) = 0.25 mol.
Make proportion: 3mol(O₂) : 1411 kJ = 0.25 mol : Q.
Q = 1411 kJ · 0.25 mol ÷ 3 mol.
Q = 117.58 kJ.

Final answer:

To find the heat released when 8.00 g of O₂ react, convert grams to moles based on O₂'s molar mass. Then, use stoichiometry to determine that 117.58 kJ of heat is released for 0.25 moles of O₂ reacting.

Explanation:

The question is asking how much heat is released when 8.00 g of O₂ (oxygen) reacts according to the provided chemical equation. To solve this, we first need to identify the molar mass of oxygen and then determine how many moles of O₂ is present in 8.00 g. The molar mass of O₂ is about 32.00 g/mol, so 8.00 g of O₂ is 0.25 moles. The balanced equation given is for 3 moles of oxygen gas, so we need to use stoichiometry to find out how much heat will be released when 0.25 moles react.

From the given equation, for every 3 moles of O₂ that react, 1411 kJ of heat is released. We can set up a proportion to find the heat released when 0.25 moles react:

(1411 kJ / 3 moles O₂) x 0.25 moles O₂ = 117.58 kJ

Therefore, when 8.00 g of O₂ react, 117.58 kJ of heat is released.

a test done under standard conditions is referred to as what in chemistry? A. STP B. Control C. Rate Constant D. Kinetics E. None of the above

Answers

The answer for the above question is the control. A control is that particular test that is done under standard conditions. Therefore, a controlled experiment is an experiment is where one test is done under standard or normal conditions, and all the other tests compare to the standard conditions. The standard conditions are majorly a temperature of 273 K or 0 degrees Celsius, and a pressure of 1 atm or 760 mmHg. 

Which of these properties would be possessed by both acids and bases? note: we do not mean mixing both in the same solution. we mean comparing a solution of an acid and a solution of a base. 1. they would taste bitter, if you were unwise enough to taste them. 2. they would react with metals and produce hydrogen gas. 3. they conduct electricity. 4. they turn litmus green. 5. they have a ph greater than 7. site:.com?

Answers

Answer is: 3. they conduct electricity.
1) acids taste sour, bases taste bitter.
2) acid would react with metals and produce hydrogen gas:
Ca(s) + 2HCl(aq) → CaCl₂(aq) + H₂(g).
3) Acids and bases give ions in water solutions, so they conduct electricity.

An Arrhenius base is a substance that dissociates in water to form hydroxide ions (OH⁻). 
In this example lithium hydroxide is an Arrhenius base:

LiOH(aq) → Li⁺(aq) + OH⁻(aq).

An Arrhenius acid is a substance that dissociates in water to form hydrogen ions or protons (H⁺). 
For example hydrochloric acid: HCl(aq) → H⁺(aq) + Cl⁻(aq).

4) red litmus turn blue whe base is drop on it and blue litmus turn red when acid is drop on it.

5) bases have pH greater than 7, acids have pH less than 7.

The properties that would possess by both acids and bases is they conduct electricity.

What is acid and base?

Acids are sour in taste and turn blue litmus paper to red.

They react with metals to liberate hydrogen.

Bases are solution that accept electron pair bonds.

NaOH is a base and HCl is an acid.

Thus, the correct option is 3, they conduct electricity.

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Who discovered neutrons?
A. James Chadwick
B. Ernest Rutherford
C. John Dalton
D. J. J. Thompson

Answers

the answer is A.james chadwick

"if the volume is kept constant, and nothing is added to the reaction mixture, what happens to the partial pressure of nitrogen during the course of the reaction?"

Answers

The partial pressure of nitrogen during the reaction if the volume is kept constant and nothing is added to the reaction mixture, then the pressure is decreases.

What is pressure ?

Pressure is defined as the force applied perpendicular to an object's surface per unit area over which that force is distributed. Gauge pressure is the pressure in relation to the surrounding atmosphere. Pressure is expressed using a variety of units.

Measuring the pressure of a substance is an important part of the manufacturing process in many industries. Obtaining accurate and meaningful data is critical in determining product quality and consistency. For these reasons, precise sensors are critical in gathering this information.

A pascal is a pressure of one newton per square metre, or one kilogram per metre per second squared in SI base units. For many purposes, this unit is inconveniently small, and the kilopascal (kPa) of 1,000 newtons per square meter is more commonly used.

Thus, The partial pressure of nitrogen during the reaction if the volume is kept constant and nothing is added to the reaction mixture, then the pressure is decreases.

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What is the result of mixing the two substances shown here together?

Answers

Where’s the rest of the question

They are not attracted to each other because one is polar and one is nonpolar — is the correct answer

Light striking a mirror at a 50° angle will be reflected at an angle _____.

Answers

Equal TO 50 degree because angle of incidence is equal to angle of reflection.

Answer:

equal to 50 degress

Explanation:

A solution in which the hydroxide-ion concentration is 1x10^-2 is

Answers

A  solution  in  which  the hydroxide  ion concentration  is  1 x10^-2  is

Basic

A  basic  solution is  a solution  which  has  more  hydroxide ion  than the hydrogen  ion.   In  other  word the  solution  has  a Ph  greater  than  7  in a Ph  scale. 

If the H+ in a solution is 1x10^-1 mol/L what is the OH-

Answers

the concentration of [tex]\( \text{OH}^- \)[/tex] ions in the solution is [tex]\( 1.0 \times 10^{-3} \, \text{mol/L} \)[/tex].

To find the concentration of [tex]\( \text{OH}^- \)[/tex] ions [tex](\( [\text{OH}^-] \))[/tex] in a solution given the concentration of [tex]\( \text{H}^+ \)[/tex] ions [tex](\( [H^+] \))[/tex], we can use the fact that in water at [tex]\( 25^\circ \text{C} \)[/tex] [tex](\( 298 \text{K} \))[/tex], the product of [tex]\( [\text{H}^+] \)[/tex] and [tex]\( [\text{OH}^-] \)[/tex] is constant and equal to [tex]\( 1.0 \times 10^{-14} \, \text{mol/L} \)[/tex]. This is known as the ion product of water [tex](\( K_w \)).[/tex]

[tex]\[ K_w = [\text{H}^+] \times [\text{OH}^-] \][/tex]

Given [tex]\( [\text{H}^+] = 1 \times 10^{-1} \, \text{mol/L} \)[/tex], we can rearrange the equation to solve for [tex]\( [\text{OH}^-] \)[/tex]:

[tex]\[ [\text{OH}^-] = \frac{K_w}{[\text{H}^+]} \][/tex]

Substitute the given values:

[tex]\[ [\text{OH}^-] = \frac{1.0 \times 10^{-14} \, \text{mol/L}}{1 \times 10^{-1} \, \text{mol/L}} \][/tex]

[tex]\[ [\text{OH}^-] = 1.0 \times 10^{-14} \, \text{mol/L} \times \frac{1}{1 \times 10^{-1}} \, \text{mol/L} \][/tex]

[tex]\[ [\text{OH}^-] = 1.0 \times 10^{-14} \times 10^{1} \, \text{mol/L} \][/tex]

[tex]\[ [\text{OH}^-] = 1.0 \times 10^{-3} \, \text{mol/L} \][/tex]

Therefore, the concentration of [tex]\( \text{OH}^- \)[/tex] ions in the solution is [tex]\( 1.0 \times 10^{-3} \, \text{mol/L} \)[/tex].

The questions refer to the following graphs of mechanical waves.

A
B
C

The wave with the longest wavelength is (A,B,C). The wave with the smallest amplitude is (A,B,C). The wave with the most energy is (A,B,C).

Answers

Do you have pictures of the graphs??

A is the wave with the longest wavelength. The graph clearly shows this since wave A has a larger wavelength than waves B and C. Wave A has the longest wavelength when compared to the other two waves.

What is the C wave ?

C is the wave with the least amplitude. The graph shows this since wave C has a significantly lesser amplitude than waves A and B. Wave C has the least amplitude when compared to the other two waves. B is the most energetic wave.

The graph shows this because wave B has a larger amplitude than waves A and C. Wave B has the greatest amplitude when compared to the other two has the more energy in comparison to the two.

The longest wavelength wave has the lowest frequency and the lowest energy. A wave's wavelength is inversely related to its frequency, which implies that as the wavelength grows, so does the frequency. Because energy is proportional to frequency, the wave with the longest wavelength has the least energy.

The wave with the smallest amplitude has the least amount of energy. The largest displacement of a wave from its equilibrium position is referred to as its amplitude. The energy of a wave is exactly proportional to its amplitude, therefore as the amplitude falls, so does the energy.

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Do you feel that people’s safety is compromised when they live near a nuclear power plant? Why or why not? What sort of information do you think that someone living near a power plant should try to obtain? Why?

Answers

Hi there!

I think populations' safety living near nuclear power plants are compromised. If there were a leak, the poison would have a greater potential to kill people living close to the source than farther away. 
I think people should be taught and obtain an escape procedure in the event of a nuclear leak emergency. When a leak near them occurs, it is more likely that they can escape faster. 

Hope this helps!
According to the Bronsted-Lowry theory, since the carbonate ion takes up or accepts a hydrogen ion, it must be a base. The partial ionization of sodium carbonate indicates that it is weak, not strong. Therefore, sodium carbonate is a weak base.

Why have very few planets with low mass (comparable to mars or mercury) been found?

Answers

Earth because it has so much water come on b
because of the fact that low mass planets do not produce large enough radial velocity changes in their stars, they are harder to find.

Explain what happens when strong acids and bases dissolve in water.

Answers

It turns the water to ice I think

You have 40 g of a radioisotope. If the half-life of this radioisotope is 4 days, how many grams will remain after 12 days?

Answers

 the number of grams  of radioisotope that have remained after 12 days if the  half life if 4 days is calculated as below

calculate the number of half lives involved

12/4 = 3 half live are involved

40 after one half life = 40/2 = 20 g
20g after the second half life = 20/2 = 10g
10g after the third half life = 10/2 = 5 g

therefore 5 g will be remaining

Which of the following is not true regarding an acid?

a. can donate a proton (H+) to some other substance
b. can accept a proton (H+) from some other substance
c. releases hydrogen ions (H+)when dissolved in water
d. neutralizes hydroxide ions to form water

Answers

The statement that is not true about an acid is B. can accept a proton (H+) from some other substance. This is because acid itself is a proton donor, thus there is no way it will also be an acceptor. A base is the proton acceptor. All the other choices are correct about an acid. 

Which of the following chemical equations is correctly balanced?
A.) H2 + O2 → H2O
B.) 2 C2H4O + 5 O2 → 4 CO2 + 4 H2O
C.) K2S + I2 → 2 KI + S
D.) CaCO3 + 2 HCl → CaCl2 + 2 CO2 + H2O

Answers

Option B and C both are balanced.

A chemical reaction is said to be balanced if all the constituent on the left side of the reaction arrow are equal to right side.

(A) The chemical reaction is as follows:

[tex]H_{2}+O_{2}\rightarrow H_{2}O[/tex]

There are 2 hydrogen atoms and 2 oxygen atoms on left side of the reaction arrow and 2 hydrogen and 1 oxygen on right hand side thus, number of oxygen atoms are not balanced.

Therefore, the above chemical reaction is not balanced.

(B) The chemical reaction is as follows:

[tex]2C_{2}H_{4}O+5O_{2}\rightarrow 4CO_{2}+4H_{2}O[/tex]

There are 4 carbon atoms, 8 hydrogen atoms and 12 oxygen atoms on both side of the reaction arrow thus, the chemical reaction is balanced.

(C) The chemical reaction is as follows:

[tex]K_{2}S+I_{2}\rightarrow 2KI+S[/tex]

There are 2 potassium atoms, 1 sulfur atom and 2 iodine atoms on both side of the reaction arrow thus, it is a balanced chemical reaction.

(D) The  chemical reaction is as follows:

[tex]CaCO_{3}+2HCl\rightarrow CaCl_{2}+2CO_{2}+H_{2}O[/tex]

There is 1 calcium atom, 1 carbon atom, 3 oxygen atoms, 2 hydrogen atoms and 2 chlorine atoms on left side of the reaction arrow and 1 calcium atom, 2 chlorine atoms, 2 carbon atoms, 5 oxygen atoms and 2 hydrogen atoms on right hand side of the reaction arrow. Thus, number of carbon and oxygen atoms are not balanced in the chemical reaction.

A balanced chemical reaction has the same and a balanced number of stoichiometry coefficients. Option B. [tex]\rm 2 C_{2}H_{4}O + 5 O_{2} \rightarrow 4 CO_{2} + 4 H_{2}O[/tex] and option D. [tex]\rm K_{2}S + I_{2} \rightarrow 2 KI + S[/tex] are balanced equations.

What is a balanced chemical reaction?

A balanced chemical reaction is the equated reaction and depiction of the chemical reactants and the products of the reaction. They have balanced stoichiometry coefficients on the left and the right side of the reaction.

In the second reaction,  [tex]\rm 2 C_{2}H_{4}O + 5 O_{2} \rightarrow 4 CO_{2} + 4 H_{2}O[/tex], the number of carbon atoms are four on both sides, 8 atoms of hydrogen on both sides and 12 atoms of oxygen balanced on both sides of the chemical reaction.

In the third reaction, [tex]\rm K_{2}S + I_{2} \rightarrow 2 KI + S[/tex], 2 atoms of potassium, 2 atoms of iodine and 1 atom of sulphur is balanced.

Therefore, reactions B and D are balanced reactions.

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If the concentration of h uons were to decrease what would happen to the oh ions

Answers

If the concentration of H⁺ ions will decrease then the concentration of OH⁺ ions will increase.

Submarines sometimes make a "pinging" sound to determine the depth of an object in the ocean. This process is called
A. sonar.
B. radar.
C. refraction.
D. diffraction

Answers

The answer is A.

A: Sonar

pls give me brainliest <3
sonar is the correct answer

Each astronaut produces 8.8 x 10^2 g CO2 per day that must be removed from the air on the shuttle. If a typical shuttle mission is 9 days, and the shuttle can carry 3.50 x 10^4 g LiOH, what is the maximum number of people the shuttle can carry for one mission

Answers

The answer to this would be:

The shuttle can carry a maximum of 4 astronauts for one mission.

2 LiOH + CO2 -----> Li2CO3 + H2O

(3.50 × 10^4 g LiOH) (1 mol LiOH/ 24 g LiOH) ( 1 mol CO2 / 2 mol LiOH) ( 44 g CO2 /1 mol CO2) = 32, 083.33 g CO2

32, 083.33 g / 9 (8.8 × 10^2) = 4 


Seawater has a ph of 8.1. what is the concentration of oh–?

Answers

pH scale is used to determine how acidic or basic a solution is.
pH can be calculated as follows;
by knowing the ph we can calculate pOH
pH + pOH = 14
pOH = 14 - 8.1 
pOH = 5.9 
pOH is used to calculate the hydroxide ion concentration 
pOH = -log[OH⁻]
[OH⁻] = antilog(-pOH)
[OH⁻] = 1.26 x 10⁻⁶ M
therefore hydroxide ion concentration is 1.26 x 10⁻⁶ M

3) The amount of energy it takes to eject an electron from the surface of a metal is 4.15 x 10-19J. If light with a wavelength of 625nm is shined on the metal, what will happen? Prove your answer mathematically by finding the frequency and energy of the wave.

Answers

We can use two equations to solve this.
(1) - E = hf
        E = Energy (J)
        h = plank's constant (6.63 × 10⁻³⁴ J s)
        f  = frequency (Hz)

(2) - v = fλ
        v = velocity of the wave (m/s)
       f  = frequency (Hz)
       λ = wavelength (m)

the λ for the given wave is 625nm (625 x 10⁻⁹ m) and the velocity of the wave is equal to speed of light (3 x 10⁸ m/s) since the wave is a light.

hence we can find the frequency of the wave by using (2) formula.
3 x 10⁸ m/s = f x 625 x 10⁻⁹ m
                f  = 4.8 x 10¹⁴ Hz

by using calculated frequency and (1) formula, we can find the energy of the wave.
 E = 6.63 × 10⁻³⁴ J s x 4.8 x 10¹⁴ Hz
 E = 3.18 x 10⁻¹⁹ J

The energy of wave is less than energy needed to eject an electron.
Hence, the metal does not eject electron.

When an ionic compound dissolves in water: the positive end of water dipoles attract the negative ions. the solvent-solute attractive forces overcome the solute-solute attractions. the negative end of water dipoles attract the positive ions. each of the above (a, b, and
c.occurs. none of the above (a, b, or
c.occurs?

Answers

Answer is: each of the above (a, b, and c.) occurs.

For example sodium chloride is ionic compound and strong electrolyte and dissociates in water on hydrated sodium cations and chlorine anions:

NaCl(aq) → Na⁺(aq) + Cl⁻(aq).
In water, oxygen is negative and attract the positive ions of sodium, hydrogen is positive and attract the negative ions of chlorine.

 

The standard Gibbs free energy of formation of ________ is zero. (
a. Rb(s) (
b. H2(
g. (
c. Pb(s)

Answers

The standard Gibbs free energy of formation ΔGf° of Rb(s), H2(g) and Pb(s) are all zero. Similar to enthalpies of formation, the values of the standard Gibbs energies of formation are zero for the elements in their most stable forms at room conditions 298 Kelvin and one atmosphere pressure.
Final answer:

The standard Gibbs free energy of formation for Rubidium solid (Rb(s)), Hydrogen gas (H2(g)), and Lead solid (Pb(s)), which are each in their standard state, is zero by definition.

Explanation:

The standard Gibbs free energy of formation of any element in its most stable form is zero by definition. This means that for elements in their standard states, such as Rubidium solid (Rb(s)), Hydrogen gas (H2(g)), and Lead solid (Pb(s)), the standard Gibbs free energy of formation is zero.

Considering the standard state refers to the most stable form of an element at 1 atm pressure and 25°C, the correct answer to the question is that the standard Gibbs free energy of formation of all the listed elements, which are in their standard states, is zero.

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Which is an example of printing embedded in paper?
Question 7 options:

indented writing

trash marks

watermarks

spots

Answers


well i think spot and indented writing 
Hope this help 

Indented writing and spots are the examples of printing embedded in paper.

What is printing?

Printing is a process for mass reproducing text and images using a master form or template. The earliest non-paper products involving printing include cylinder seals and objects such as the Cyrus Cylinder and the Cylinders of Nabonidus. The earliest known form of printing as applied to paper was woodblock printing, which appeared in China before 220 AD for cloth printing. However, it would not be applied to paper until the seventh century.

Later developments in printing technology include the movable type invented by Bi Sheng around 1040 AD and the printing press invented by Johannes Gutenberg in the 15th century. The technology of printing played a key role in the development of the Renaissance and the Scientific Revolution and laid the material basis for the modern knowledge-based economy and the spread of learning to the masses.

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What term refers to the coldest and densest zone, deep below the surface of a lake?

Answers

profundal 

profundal zone is the coldest and deepest zone 

Answer: Hypolimnion

Explanation:

The hypolimnion layer is found in the dense region of lake. It is bottom layer of water in a thermally stratified lake.

This region has lowest oxygen concentration,and it lies below the thermocline.

It is the deepest and coldest layer found in lake. It has very less oxygen and maximum amount of sediments is also found there.

There reaches no light so photosynthesis id not possible there. The temperature there is almost 4 °C throughout the year.

many grams of aluminum are required to produce 3.5 moles Al2O3 in the presence of excess O2?

Answers

The  grams  of aluminum  that are required   to produce  3.5  moles of AlO3  in  presence of excess O2   is calculated as  below

write  the  equation for reaction
4 Al + 3O2 =2 Al2O3

by use of mole  ratio between  Al  to  Al2O3   which  is  4 :2  the moles of  Al 
=3.5 x4/2 = 7  moles

mass of Al  =  moles /   x molar mass

= 7 moles  x27 g/mol  =189  grams

To produce 3.5 moles of aluminum oxide (Al₂O₃), you need 188.86 grams of aluminum (Al) in the presence of excess oxygen (O₂).

This is determined using the balanced chemical equation and molar masses.

To determine how many grams of aluminum (Al) are required to produce 3.5 moles of aluminum oxide (Al₂O₃) in the presence of excess oxygen (O₂), you need to use stoichiometry and the molar masses of the compounds involved.

The balanced chemical equation for the formation of aluminum oxide is:

4Al + 3O₂ → 2Al₂O₃

From the equation, 4 moles of aluminum (Al) produce 2 moles of aluminum oxide (Al₂O₃). This means that 2 moles of Al₂O₃ are produced from 4 moles of Al.

To find out how many moles of Al are needed for 3.5 moles of Al₂O₃, set up the proportion:

(4 moles Al / 2 moles Al₂O₃) = (x moles Al / 3.5 moles Al₂O₃)

Solving for x:

x = (4/2) * 3.5 = 7 moles of Al

The molar mass of Al is approximately 26.98 g/mol. To find the mass of 7 moles of Al:

7 moles Al * 26.98 g/mol = 188.86 g Al

Thus, 188.86 grams of aluminum are required to produce 3.5 moles of aluminum oxide in the presence of excess oxygen.

When 14.0 g of zinc metal reacts with excess hcl, how many liters of h2 gas are produced at stp? when 14.0 g of zinc metal reacts with excess hcl, how many liters of h2 gas are produced at stp? 9.60 l 4.80 l 0.208 l 0.416 l?

Answers

I have the same homework and the answer is 4.80L

The chemical reaction is given as:

[tex]Zn(s)+2HCl(aq)\rightarrow ZnCl_{2}(aq)+H_{2}(g)[/tex]

First, calculate the number of moles of zinc:

Number of moles = [tex]\frac{Given mass in g}{Molar mass}[/tex]

Given mass of zinc = [tex]14.0 g[/tex] and molar mass of zinc = [tex]65.4 g/mol[/tex]

Number of moles = [tex]\frac{14.0 g}{65.4 g/mol}[/tex]

= [tex]0.2140 moles[/tex]

Now, moles of hydrogen = [tex]number of moles of zinc\times \frac{1 mol of hydrogen}{1 mol of zinc}[/tex] ( as 1 mole of zinc gives 1 mole of hydrogen)

= [tex]0.2140\times \frac{1 mol of hydrogen}{1 mol of zinc}[/tex]

= [tex]0.2140 mol[/tex] of hydrogen.

Volume of hydrogen is calculated by:

[tex]PV=nRT[/tex]

where, P = pressure = 1 atm at STP

V = volume

n= number of moles

R = gas constant =  [tex]0.082 Latm/Kmol[/tex]

T = temperature= 273 K at STP

Now, insert the values in formula, we get

[tex]V=\frac{nRT}{P}[/tex]

[tex]V=\frac{0.2140 mol\times 0.082 Latm/Kmol\times 273 K}{1 atm}[/tex]

[tex]V=\frac{0.2140 mol\times 0.082 Latm/Kmol\times 273 K}{1 atm}[/tex]

[tex]V=4.790 L\simeq 4.80 L[/tex]

Thus, volume of hydrogen is [tex]4.80 L[/tex] i.e. second option is the correct answer.



It is necessary to have a 40% antifreeze solution in the radiator of a certain car. the radiator now has 70 liters of 20% solution. how many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?

Answers

To achieve the desired 40% antifreeze solution, you should drain 70 liters of the 20% solution and replace it with 70 liters of 100% antifreeze.

To get a 40% antifreeze solution in the radiator, we need to drain a certain amount of the 20% solution and replace it with 100% antifreeze. Let's break down the problem step by step:

1. Calculate the amount of antifreeze in the original 70-liter 20% solution:
- The original solution is 20% antifreeze, so 20% of 70 liters is (20/100) * 70 = 14 liters of antifreeze.

2. Determine how much antifreeze we need in the final solution:
- We want a 40% antifreeze solution, so the final solution should have (40/100) * (70 liters) = 28 liters of antifreeze.

3. Find the amount of solution to drain:
- The difference between the desired and current amount of antifreeze is 28 liters - 14 liters = 14 liters.
- Since the original solution is 20% antifreeze, we can equate 14 liters to 20% of the total solution, and solve for the total amount of solution.
- Let's represent the total solution as "x" liters. So, (20/100) * x = 14 liters.
- We can solve this equation by dividing both sides by 20/100: x = 14 liters / (20/100) = 70 liters.

4. Calculate the amount of solution to drain and replace with 100% antifreeze:
- We need to replace 70 liters of the 20% solution with 100% antifreeze.
- So, we should drain and replace 70 liters of the original solution with 70 liters of 100% antifreeze.

Therefore, to achieve the desired 40% antifreeze solution, you should drain 70 liters of the 20% solution and replace it with 70 liters of 100% antifreeze.

Final answer:

To determine how many liters of a 20% antifreeze solution should be drained and replaced with 100% antifreeze to make a 40% solution in a 70-liter system, we set up and solve an equation based on the volume and concentration of antifreeze before and after draining and adding pure antifreeze.

Explanation:

Let's denote the amount of solution to be drained and replaced with 100% antifreeze as 'x' liters. The amount of antifreeze in the original solution is 20% of 70 liters, or 0.2 × 70 = 14 liters. When 'x' liters of this solution are removed, 'x' liters of pure antifreeze are added, so the new volume of antifreeze in the solution will be (14 - 0.2x + x) liters. The total volume of the solution remains 70 liters, and we want it to be a 40% antifreeze solution. So, we set up the equation:

0.40 × 70 = 14 - 0.2x + x

Solving for 'x', we find the amount of solution to be replaced with 100% antifreeze to obtain the 40% solution desired.

15 POINTS
When calcium forms an ion, what is its charge?
2+
3+
2-
3-

Answers

It would have a positive charge.

Hope i helped!!

What is one role that lipids play in the body?


AThey provide a quick source of energy for cells.

B-They make up the contracting structures of muscles.

C-They store coded information about heredity.

D-They make up structural parts of cell membranes.


Answers

Lipids, also known as fats, play many important roles in your body, from providing energy to producing hormones. You wouldn't be able to digest and absorb food properly without lipids. I believe your answer is D.

Hope this helps!
D-They make up structural parts of cell membranes.
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