Answer:
Explanation:
Fossil fuel is nonrenewable, whereas hydro, wind, solar, and wave power are generally ... depletes its fuel stock but at a relatively slow rate, and geothermal energy (Williamson, ... Future primary energy sources (e.g. nuclear, coal and solar) are primarily ... b. Distributed peak electrical generation, •. c. Distributed electricity ...
Answer: is C fossil fuel
What is this plzzzzzzzzzzzzzzzzzzz help!!!!
The lens below is an example of a convex lens. Once light enters the lens, the light converges or comes together.
Convex Lens: A convex lens is thicker in the middle and thinner at the edges. It bulges outward. When light passes through a convex lens, it refracts (bends) inward toward the center of the lens.
Converges: When light converges, it means that the rays of light come together at a single point after passing through the lens. This point is called the focal point.
So, when light enters a convex lens, it bends inward and focuses at a point, which is known as convergence. This convergence is a characteristic feature of convex lenses and is utilized in various optical instruments like cameras, microscopes, and telescopes to form clear and magnified images.
What is the pressure in mm of Hg , of a gas mixture that contains 1g of H2, and 8.0 g of Ar in a 3.0 L container at 27°C.
Answer:
4362.4 mmHg
Explanation:
Step 1:
Determination of the number of mole of H2 and the number of mole of Ar.
Molar Mass of H2 = 2x1 = 2g/mol
Mass of H2 = 1g
Number of mole of H2 =?
Number of mole = Mass/Molar Mass
Number of mole of H2 = 1/2 = 0.5 mole
Molar Mass of Ar = 40g/mol
Mass of Ar = 8g
Number of mole of Ar =?
Number of mole = Mass/Molar Mass
Number of mole of Ar = 8/40 = 0.2 mole
Step 2:
Data obtained from the question.
Volume (V) of the mixture = 3L
Temperature (T) = 27°C = 27°C + 273 = 300K
Number of mole (n) of the mixture = 0.5 + 0.2 = 0.7 mole
Gas constant (R) = 0.082atm.L/Kmol
Pressure (P) of the mixture =?
Step 3:
Determination of the pressure of the mixture.
The pressure of the mixture can be obtained as follow:
PV = nRT
P x 3 = 0.7 x 0.082 x 300
Divide both side by 3
P = (0.7 x 0.082 x 300) /3
P = 5.74 atm
Step 4:
Conversion of the pressure obtained from atm to mmHg.
1 atm = 760mmHg
Therefore, 5.74 atm = 5.74 x 760 = 4362.4 mmHg
Which sweet tea would you expect to taste the sweetest?
Here is the clear picture
Answer: You're right, it's 8 M
Explanation: The higher the number, the sweater it is.
As the concentration of sugar solute molecules increases, the more sweeter the solution will be. Here, 8 M sugar solution is the sweetest one.
What is molarity?
Molarity of a solution is a term use to represent its concentration. It is the ratio of number of moles of solute to the volume of solution in litres. Molarity is a temperature dependant property.
Higher the number of moles of the solute higher is the molarity. When it made more diluted by adding more volume its concentration decreases thereby molarity.
8 M sugar solution contains 8 moles of sugar molecules per one liter of water. Which is higher in concentration than the other given concentrations and thus having more sweet.
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How many grams of CO2 are produced from 51 g of CH4?
Answer:
140.25g of CO2
Explanation:
First, let us write a balanced equation showing how CO2 is produced from CH4. This is illustrated below:
When CH4 undergoes combustion it produces CO2 and H2O according to the balanced equation below:
CH4 + 2O2 —> CO2 + 2H2O
Next, let us calculate the mass of the CH4 that reacted and the mass of CO2 produced from the balanced equation. This is shown below:
Molar Mass of CH4 = 12 + (4x1) = 12 + 4 = 16g/mol
Molar Mass of CO2 = 12 + (2x16) = 12 + 32 = 44g/mol
From the balanced equation above,
16g of CH4 produced 44g of CO2.
Therefore, 51g of CH4 will produce = (51 x 44)/16 = 140.25g of CO2.
From the calculations made above, we can see that 51g of CH4 produced 140.25g of CO2
Answer:
139.91 g CO2 to the nearest hundredth.
Explanation:
CH4 + 2O2 ----> CO2 + 2H2O
Using the molar masses of the chemicals:
(12.011 + 4*1.008) g CH4 produces (12,011 + 32) g CO2
So 51 g of CH4 produces [51 * (12,011 + 32] / [ (12.011 + 4*1.008) ]
= 139.91 g CO2.
Which parameter is measured directly in a coffee-cup calorimeter?
pressure
heat of fusion
temperature
kinetic energy
(c) Temperature
Temperature is measured directly in a coffee-cup calorimeter.
See Attached Image. Figure shows Coffee-cup calorimeter. This simple apparatus is used to measure temperature changes of reactions at constant pressure.
(c) Temperature is measured directly in a coffee-cup calorimeter.
A coffee cup calorimeter:It is essentially a polystyrene (Styrofoam) cup with a lid. The cup is partially filled with a known volume of water and a thermometer is inserted through the lid of the cup so that its bulb is below the water surface.
Out of the given options,
Temperature is measured directly in a coffee-cup calorimeter.
Thus, option C is correct.
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If a reaction occurs, what will be the products of the unbalanced reaction
below?
Mg(s) + H2O(1) ►
The Activity Series of Elements
O A. MgO(s) + H2(9)
O B. Mg(OH)2(aq) + H2(g)
O c. MgHz(s) + O2(9)
O D. No reaction will occur.
The products of the unbalanced reaction is Mg(s) + H₂O → Mg(OH)₂(aq) + H₂(g)
What is balanced equation?An equation for a chemical reaction is said to be balanced if both the reactants and the products have the same number of atoms and total charge for each component of the reaction. In other words, both sides of the reaction have an equal balance of mass and charge.
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A student wants to classify some household chemicals by testing them using litmus paper. If she is going to classify these chemicals correctly, which statement will best help her determine if the chemicals are acids or bases? *
if blue litmus paper turns red, the substance has a pH below 7 and is an acid
if blue litmus paper turns red, the substance has a pH above 7 and is a base
if blue litmus paper turns red, the substance has a pH below 7 and is a base
if blue litmus paper turns red, the substance has a pH above 7 and is an acid
The statement which is correct about acids or base is if blue litmus paper turns red, the substance has a pH below 7 and is an acid.
What are acids and bases?Acids are those substances which has a pH value below 7 and bases are those substances which has a pH value greater than 7.
Acids turn blue litmus paper to red color and Bases turn red litmus paper to blue color.
If blue litmus paper turns red, the substance has a pH below 7 and is an acid is true.If blue litmus paper turns red, the substance has a pH above 7 and is a base is incorrect.If blue litmus paper turns red, the substance has a pH below 7 and is a base is also incorrect.If blue litmus paper turns red, the substance has a pH above 7 and is an acid is also incorrect.So correct statement is if blue litmus paper turns red, the substance has a pH below 7 and is an acid.
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what would be the temperature of 0.734 moles of chlorine gas be at 1.83 atmospheres in a 10.2 liter container? (r=0.0821 L·atm/mol·k)
Answer: 310K
Explanation:
Since,
Pressure P = 1.83 atmospheres
Volume of chlorine gas V = 10.2L
Molar gas constant R = 0.0821 L.atm/mol.k)
Number of moles = 0.734 moles
Temperature T(in Kelvin) = ?
Apply ideal gas equation (pV = nRT)
1.83atm x 10.2L= 0.734 moles x 0.0821 L.atm/mol.k x T
18.67 = (0.06026 x T)
T = (18.67 / 0.06026)
T = 310K
Therefore, the new temperature of the chlorine gas is 310K
what property of elements causes waters polarity
Answer:
atoms bond mixes with oxygen
Explanation:
Just search it up on google dum dum
How much heat (in Joules) is needed to raise the temperature of 257g of ethanol (cethanol=2.4 J/g°C) by 49.1°C?
Answer:
30284.88J
Explanation:
Given parameters:
Mass of ethanol = 257g
Specific heat capacity of ethanol = 2.4J/g°C
Temperature change = 49.1°C
Unknown:
Amount of heat = ?
Solution:
The quantity of heat need to cause a temperature change on a body is given as;
H = m c Δt
where m is the mass
c is the specific heat capacity
Δt is the change in temperature
All units in proper dimensions. Input the parameters and solve for H;
H = 257 x 2.4 x 49.1
H = 30284.88J
In a modern system of classification, two organisms would be
most closely related if they were classified in the same
A
kingdom
C
genus
8
phylum
0
species
Answer:
could be species I think
Within the taxonomy, organisms are organized hierarchically, the biological species is the set or natural population of organisms that are recognized because they are similar in form and function.
What is a biological species?It is a set of organisms capable of reproducing and obtaining fertile (non-hybrid) offspring, and that share their basic defining evolutionary traits.
The organisms of the same species share generic characters and other factors that allow them to resemble each other and distinguish themselves from the rest of the species.
Therefore, we can conclude that many species share evolutionary origins or are evolutionarily related from some common ancestor.
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2- A gas has a volume of 500 mL at a temperature of -73.0 °C. What volume will the gas
occupy at 27.0°C?
Answer: 750ml
Explanation:
Using charle's law
V1/T1=V2/T2
V1= 500ml
T1= -73⁰C
V2= ?
T2=27⁰C
We can see that the temperature is in Celsius
Now,we will convert to Kelvin
Kelvin= 273+ Celsius
So convert the Celsius value to Kelvin
For T1= 273+(-73)
T1= 273-73
T1= 200K
For T2= 273+27
T2= 300K
V1/T1=V2/T2
500/200=V2/300
Cross multiply
200×V2=500×300
200V2= 150000
V2= 150000/200
V2= 750ml
So,
750ml of gas will occupy at 27⁰C
Answer:
750mL
Explanation:
Charles law states that the volume of a fixed mass of gas is inversely proportional to its temperature, at constant pressure
Mathematically,
V1/T1 = V2/T2
Values given are;
V1=initial volume of the gas=500mL
T1=initial temperature of the gas=-73.0°C=(-73.0+273)K=200K
V2=final volume of gas
T2=final temperature of gas=27.0°C=(27.0+273)K=300K
The volume of the gas at 27°C is unknown.
We'll make V2 subject of the formula
V1/T1=V2/T2
V2=(V1×T2)/T1
V2=(500×300)/200
V2=750mL
Therefore, the gas will occupy a volume of 750mL at 27.0°C
What elements are in water
What type of reaction is Ca+HCl, CaCl+H2
Reaction of
Ca + HCl => CaCl + H2
Is a single displacement reaction.
The reaction between calcium (Ca) and hydrochloric acid (HCl) to form calcium chloride (CaCl2) and hydrogen gas (H2) is a single displacement reaction. It exemplifies a metal element reacting with an acidic compound to displace hydrogen and form a salt and hydrogen gas.
Explanation:When calcium (Ca) reacts with hydrochloric acid (HCl), a single displacement reaction occurs where calcium replaces hydrogen in hydrochloric acid to form calcium chloride (CaCl2) and hydrogen gas (H2). This type of chemical reaction where an element reacts with a compound and displaces another element from it is known as a single displacement reaction or substitution reaction. In this case, the balanced reaction would be Ca + 2HCl → CaCl2 + H2.
Related Information:
The reaction of calcium carbonate (CaCO3) with hydrochloric acid to produce calcium chloride, carbon dioxide (CO2), and water (H2O) is an example of a double displacement reaction, also known as a metathesis reaction. Here, two compounds exchange ions to form two new compounds. This reaction is represented by 2 HCl(aq) + CaCO3(aq) → CaCl2(aq) + CO2(g) + H2O(l).
Ethanol is increasingly being used as a fuel for cars.
The standard enthalpy change of formation of carbon dioxide is -393 kJmol.
The standard enthalpy change of formation of water is --286 kJmol.
The standard enthalpy change of formation of ethanol is -277 kJmol.
What is the standard enthalpy change of combustion of ethanol?
Answer:
= -522.5\,\, kJmol^{-1}
Explanation:
Firstly, we know that 0.36 g of ethanol burned, so we can convert this into a number of moles.
Using a formula triangle to calculate the number of moles of ethanol in a 0.36 gram sample
Secondly, we can use \Delta H=cm\Delta T to calculate the enthalpy change in the experiment described in the question (ie when 0.008 moles of ethanol is burned).
\Delta H=cm\Delta T = 4.18 x 0.2 x 5
= 4.18 kJ
Lastly, we can use the enthalpy change for the experiment in the question to calculate the enthalpy of combustion (ie when one mole of ethanol is burned).
0.008\,\,moles\,\,ethanol = 4.18kJ
1\,\,mole\,\,ethanol = \frac{1}{0.008} \times 4.18
= -522.5\,\, kJmol^{-1}
Answer:
-522.5
Explanation:
because for the formula i found that.
How many grams of water can be produced from 15 grams of hydrogen
2H2 + O2 —> 2H2O
Answer:
135g
Explanation:
The equation for the reaction is given below:
2H2 + O2 —> 2H2O
Next, let us calculate the mass of H2 that reacted and the mass of H2O produced from the balanced equation. This is illustrated below:
Molar Mass of H2 = 2x1 = 2g/mol
Mass of H2 from the balanced equation = 2 x 2 = 4g
Molar Mass of H2O = (2x1) + 16 = 2 + 16 = 18g/mol
Mass of H2O from the balanced equation = 2 x 18 = 36g
From the balanced equation,
4g of H2 produced 36g of H2O.
Therefore, 15g of H2 will produce = (15x36)/4 = 135g of H2O
From the calculations made above, 15g of H2 produced 135g of water (H2O)
Final answer:
15 grams of hydrogen can produce 133.80 grams of water when reacted with sufficient oxygen, following the stoichiometry of the balanced chemical equation 2H₂ + O₂ → 2H₂O.
Explanation:
The question asks how many grams of water can be produced from 15 grams of hydrogen according to the balanced chemical reaction: 2H₂(g) + O₂(g) → 2H₂O(l).
Using stoichiometry, we first determine the molar mass of hydrogen (H₂). Since there are 2 moles of hydrogen in the reaction and the molar mass of hydrogen (H) is approximately 1.01 g/mol, the molar mass of H₂ is 2.02 g/mol. This means 2 moles of H₂ weigh 4.04 g.
Therefore, 15 grams of hydrogen is equivalent to 15 g H₂ × (1 mol H₂ / 2.02 g H₂) = 7.426 moles of H₂.
According to the balanced equation, 2 moles of H₂ produce 2 moles of H₂O. So, 7.426 moles of H₂ would produce 7.426 moles of H₂O.
As the molar mass of H₂O is 18.02 g/mol, 7.426 moles of H₂O would weigh:
7.426 moles × 18.02 g/mol = 133.80 g of H₂O.
Thus, 15 grams of hydrogen can produce 133.80 grams of water, assuming there's sufficient oxygen available to react completely with the hydrogen.
1. Determine the final volume of a 1.5 M HCl solution prepared from 20.0 mL
of a 6.0 M HCl solution.
Explanation:
Because molarity is classified as moles of solute per liter of water, dilution of the water may result in a reduction of its concentration.
Therefore, because the amount of moles of solute has to be constant for dilution, you will use the molarity and volume of that same target solution to calculate how many moles of solute will be present in the sample of the stock solution that you dilute.
c = [tex]\frac{n}{v}[/tex]
⇒ n = c ⋅ V
[tex]n_{HCL}[/tex] = 0.250 M ⋅ 6.00 L = 1.5 moles HCl
Now all you have to do is figure out what volume of 6.0 M stock solution will contain 1.5 moles of hydrochloric acid
c = [tex]\frac{n}{v}[/tex]
V = [tex]\frac{n}{c}[/tex]
[tex]V_{Stock}[/tex] = [tex]\frac{1.5 moles}{6.0 \frac{moles}{L} }[/tex] = 0.25 L
Expressed in milliliters, the answer will be
[tex]V_{Stock} = 250ML[/tex] → rounded to two sig figs
The atomic radius of a silver atom is 1.44 x 10-10. Give the
atomic radius of silver in nanometres.
Answer:
0.144 nm
Explanation:
Silver's electronic configuration is (Kr)(4d)10(5s)1, and it has an atomic radius of 0.144 nm.
3. Is the number of total molecules on the left side of a balanced equation always equal to the
number of total molecules on the right side of the equation? Explain your answer.
The number of total molecules on both sides of a balanced equation may differ. It is the number of each type of atom that must be equal, not the molecule count, to comply with the law of conservation of matter.
Explanation:The number of total molecules on the left side of a balanced equation does not necessarily have to equal the number of total molecules on the right side. What must be equal are the numbers of each type of atom because chemical reactions follow the law of conservation of matter, meaning that matter is not created or destroyed in a chemical reaction. The balancing of equations ensures that there is the same number of each kind of atom on both sides of the equation, thereby obeying this fundamental law.
However, the actual molecule numbers can vary, as it's the ratio of molecules that must reflect the coefficients in the balanced equation. For instance, if we have 2 H2O (2 molecules of water) as reactants, this could lead to 2 H2 and 1 O2 (3 molecules in total) as products, with 4 hydrogen atoms and 2 oxygen atoms balanced on both sides.
Which type of bond is salt
Answer:
An Ionic Bond
Explanation:
Salt compounds are formed by the "donating" of electrons.
Answer:
NaCl, or Salt, is an ionic bond.
Explanation:
Ionic bonds are formed from one metal and one nonmetal, Sodium being the metal and Chlorine being the nonmetal.
If a sample of sodium chloride with a mass of
25.0 grams is placed into enough water to
make a 250-milliliter solution, what is the
molarity of the solution? What is the molarity
if enough water is added to the original
solution to make the total volume 1.2 liters?
how many hydrogen atoms are in 35.0 g of hydrogen gas
There are approximately [tex]\(1.045 \times 10^{25}\)[/tex] hydrogen atoms in 35.0 g of hydrogen gas, calculated using its molar mass and Avogadro's number.
To find the number of hydrogen atoms in 35.0 g of hydrogen gas, we need to use the concept of molar mass and Avogadro's number.
1. Calculate the molar mass of hydrogen gas (H2):
The molar mass of one mole of hydrogen gas (H2) is approximately 2.016 g/mol. This value is obtained by adding the atomic masses of two hydrogen atoms (each hydrogen atom has an atomic mass of approximately 1.008 g/mol).
2. Determine the number of moles of hydrogen gas in 35.0 g:
[tex]\[ \text{Number of moles} = \frac{\text{Mass}}{\text{Molar mass}} = \frac{35.0 \, \text{g}}{2.016 \, \text{g/mol}} \][/tex]
3. Calculate the number of hydrogen atoms using Avogadro's number:
[tex]\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \][/tex]
Now, let's perform the calculations:
[tex]\[ \text{Number of moles} = \frac{35.0 \, \text{g}}{2.016 \, \text{g/mol}} \approx 17.36 \, \text{mol} \][/tex]
Using Avogadro's number [tex](\(6.022 \times 10^{23} \, \text{atoms/mol}\))[/tex], we have:
[tex]\[ \text{Number of atoms} = 17.36 \, \text{mol} \times (6.022 \times 10^{23} \, \text{atoms/mol}) \][/tex]
[tex]\[ \text{Number of atoms} \approx 1.045 \times 10^{25} \, \text{atoms} \][/tex]
Therefore, there are approximately [tex]\(1.045 \times 10^{25}\)[/tex] hydrogen atoms in 35.0 g of hydrogen gas.
4. Calculate the final concentration if water is added to 1.5 L of a 12 M
NaOH solution to make 3.0 L of a diluted NaOH solution.
Your answer
Answer:
6M
Explanation:
(Molarity x Volume)concentrated soln = (Molarity x Volume)diluted doln
Molarity dilute soln = [(M x V)conc/V (dilute)] = 1.5L x 12M / 3.0L = 6M final dilute soln
Identifying Physical Properties of Matter
Sand is made of tiny pieces of rock that have been worn down by wind and water. Explain why the formation of sand is a physical change.
Answer:
When a rock gets hot it expands a little, and when it gets cold the rock contracts a little. If a rock is heated and cooled many times, cracks form and pieces of rock fall away. This type of physical weathering happens a lot in deserts, because it is very hot during the day but very cold at night.
Explanation:
Answer:
The particles of rock are rearranged.
The sizes and shapes of the rocks are changed.
The identities and total mass of the rocks remain the same.
A physical change is a change in some of the physical properties of matter, but not its identity.
Explanation:2020
WFH 8th Gr PhySci_20-21
A chemist has a sample of hydrated Li2SiF6 and it weighs 0.4813 grams. He heats it strongly to drive off the water of hydration, and after heating, he found that the anhydrous compound has a mass of 0.391 grams. What is the percent of water in the hydrate?
Answer:
percentage of water = 18.76%
Explanation:
A chemist has a sample of hydrated Li2SiF6 and it weighs 0.4813 grams.
The overall weight of the compound is 0.4813 grams.
weight of hydrated sample = 0.4813 grams.
weight of anhydrous compound = 0.391 grams
percentage weight of water = mass of water/mass of the hydrated compound × 100
mass of water = mass of hydrated compound - mass of anhydrous compound
mass of water = 0.4813 - 0.391 = 0.0903 grams.
percentage of water = 0.0903/0.4813 × 100
percentage of water = 9.03/0.4813
percentage of water = 18.761687097
percentage of water = 18.76%
Answer:
18.8%
Explanation:
Step 1:
The following data were obtained from the question.
Mass of hydrated Li2SiF6 = 0.4813 g
Mass of anhydrous Li2SiF6 = 0.391 g
Step 2:
Determination of the mass of the water in the hydrate.
Mass of water = (Mass of hydrated Li2SiF6) - (Mass of anhydrous Li2SiF6)
Mass of water = 0.4813 - 0.391
Mass of water = 0.0903 g
Step 3:
Determination of the percentage of water in the hydrate.
The percentage of water = Mass of water/ mass of hydrate x 100
The percentage of water = 0.0903/0.4813 x 100
The percentage of water = 18.8%
Urgent!!! Pls help me fill in this chart, topic is Acid Base Pairs. Will mark brainliest!!
If one lightbulb burns out, but the other bulbs remain lit, the circuit must be a
a. Parallel Circuit
c. Triangle Circuit
b. Series Circuit
d. Circle Circuit
Answer:
Parallel Circuit
Explanation:
In a parallel circuit, there are multiple paths through which the current can flow, so the resistance of the overall circuit is lower than it would be if only one path was available.
Determine the mass of silver (Ag) produced in the reaction if 6.50X1023 atoms
of magnesium (Mg) react.
2 AgNO3 (s) + 1 Mg(s) 3 Mg(NO3)2 (s) + 2 Ag (s)
How many Grams??
To determine the mass of silver produced in the reaction, we need to calculate the moles of magnesium that react and use the mole ratio from the balanced equation. Given that 6.50x10^23 atoms of Mg react, the mass of silver produced is 232.87 grams.
Explanation:To determine the mass of silver (Ag) produced, we need to calculate the number of moles of magnesium (Mg) that react and use the mole ratio from the balanced equation. First, convert the given number of atoms of Mg to moles by dividing by Avogadro's number. Then, use the balanced equation to relate the moles of Mg to the moles of Ag. Finally, convert the moles of Ag to grams by multiplying by the molar mass of Ag.
In this case, the mole ratio between Mg and Ag is 1:2. So, for every mole of Mg that reacts, 2 moles of Ag are produced. Given that 6.50x10^23 atoms of Mg react, we can calculate:
Moles of Mg = (6.50x1023 atoms / 6.022x10^23 atoms/mol) = 1.08 moles of Mg
Moles of Ag = 2 moles of Ag / 1 mole of Mg * 1.08 moles of Mg = 2.16 moles of Ag
Grams of Ag = Moles of Ag * Molar mass of Ag = (2.16 moles) * (107.87 g/mol) = 232.87 grams of Ag
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If I mixed milk and vinegar together would it be a chemical or physical change?
Answer:
A chemical change
Explanation:
9)
I have an unknown volume of gas held at a temperature of
115 Kin á container with a pressure of 60 atm. If by
increasing the temperature to 225 K and decreasing the
pressure to 30 atm causes the volume of the gas to be 29
liters, how many liters of gas did I start with?
The initial volume of the gas can be determined using the ideal gas law. The simplified formula was rearranged to solve for the initial volume. The calculation showed that the initial volume was 18.19 liters.
Explanation:The subject of the question can be tackled with the application of the ideal gas law represented by the equation PV=nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant and T is the temperature. However, since the number of moles doesn't change in the problem, we can omit n and R from it and use the simplified version of it, that is P1V1/T1=P2V2/T2. Here P1, V1 and T1 refer to the initial pressure, volume and temperature and P2, V2 and T2 refer to the final pressure, volume and temperature respectively.
To get the initial volume of the gas V1, we rearrange the simplified ideal gas law to V1 = (P2V2T1)/(P1T2). Plugging the given values in the formula we get V1 = (30 atm * 29 L * 115 K) / (60 atm * 225 K) = 18.19 liters.
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The correct answer is that the initial volume of the gas was [tex]14.5 \ liters[/tex].
To solve this problem, we can use the combined gas law, which states that for a given amount of gas, the product of pressure and volume divided by the temperature is constant:
[tex]\[\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\][/tex]
where [tex]\(P_1\), \(V_1\)[/tex], and [tex]\(T_1\)[/tex] are the initial pressure, volume, and temperature, respectively, and [tex]\(P_2\), \(V_2\)[/tex], and [tex]\(T_2\)[/tex] are the final pressure, volume, and temperature, respectively.
Given:
[tex]\(P_1 = 60\) atm[/tex] (initial pressure)
[tex]\(P_2 = 30\)[/tex] [tex]\(T_1 = 115\) K[/tex] (initial temperature)
[tex]\(P_2 = 30\)[/tex] atm (final pressure)
[tex]\(V_2 = 29\) liters[/tex] (final temperature)
[tex]\(V_2 = 29\) liters[/tex] (final volume)
We want to find [tex]\(V_1\)[/tex] (initial volume). Rearranging the combined gas law to solve for [tex]\(V_1\)[/tex], we get:
[tex]\[V_1 = \frac{P_2V_2T_1}{P_1T_2}\][/tex]
Plugging in the given values:
[tex]\[V_1 = \frac{(30\text{ atm})(29\text{ liters})(115\text{ K})}{(60\text{ atm})(225\text{ K})}\][/tex]
[tex]\[V_1 = \frac{30 \times 29 \times 115}{60 \times 225}\][/tex]
[tex]\[V_1 = \frac{99350}{13500}\][/tex]
[tex]\[V_1 = 14.5\text{ liters}\][/tex]