These current sets of problems are about the gas laws, namely, Boyle's Law, Charles' Law, Gay-Lussac's Law, Combined Gas Law, and the Ideal Gas Law.
Boyle's Law Problems
| 1. | Calculate the pressure required to reduce the volume of 25.0 L of gas at a pressure of 0.594 atm to 22.0 L with the temperature remaining constant. |
| Answer: 0.675 atm |
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| 2. | Under constant temperature, 15.0 L of a sample gas was allowed to expand to a final volume of 19.0 L. If the initial pressure of the gas was 0.149 atm, what was the final pressure of the gas after its expansion? |
| Answer: 0.118 atm |
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| 3. | A sample of a gas which occupies 20 L has a pressure of 5 atm. Determine the resulting volume of the gas if the pressure is changed to 7 atm and the temperature is maintained constant. |
| Answer: 14.29 L |
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| 4. | A sample of a gas which occupies 2.5 L has a pressure of 4 atm. Determine the resulting volume of the gas if the pressure is changed to 7 atm and the temperature is maintained constant. |
| Answer: 1.43 L |
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| 5. | At a pressure of 6.125 atm, a sample of gas has a volume of 0.457 L. If the pressure is reduced to 2 atm, what will be the resulting volume of the gas? Temperature is maintained constant. |
| Answer: 1.4 L |
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| 6. | Calculate the pressure required to reduce the volume of 17000 mL of gas at a pressure of 670 torr to 9000 mL with the temperature remaining constant. |
| Answer: 1266 torr |
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| 7. | Under constant temperature, 4000 mL of a sample gas was allowed to expand to a final volume of 19000 mL. If the initial pressure of the gas was 2850 torr, what was the final pressure of the gas after its expansion? |
| Answer: 600 torr |
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Charles' Law Problems
| 1. | Maintaining a constant pressure, a sample of gas having a volume of 2.0 L at -197° C is heated to 749° C. What is the final volume of the gas? |
| Answer: 26.9 L |
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| 2. | Calculate the final volume of a 0.05 L gas at 98° C when the temperature is brought down to 15° C as the pressure remains unchanged. |
| Answer: 0.04 L |
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| 3. | Calculate the final volume of a 9.28 L gas at 79° C when the temperature is brought down to 10° C as the pressure remains unchanged. |
| Answer: 7.46 L |
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| 4. | 18 L of gas at 410° C was compressed to 2 L at constant pressure. Determine the resulting temperature of the gas. |
| Answer: -197° C |
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| 5. | Calculate the final volume of a 4.58 L gas at 74° C when the temperature is brought down to 5° C as the pressure remains unchanged. |
| Answer: 3.67 L |
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| 6. | A sample of gas with a volume of 14.0 L at 325° C was allowed to expand to 18.0 L while maintaining a constant pressure. What was the new temperature of the gas? |
| Answer: 496° C |
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| 7. | 22 L of gas at -266° C was compressed to 4 L at constant pressure. Determine the resulting temperature of the gas. |
| Answer: -272° C |
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| 8. | Maintaining a constant pressure, a sample of gas having a volume of 12.0 L at -28° C is heated to 455° C. What is the final volume of the gas? |
| Answer: 35.6 L |
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| 9. | Calculate the final volume of a 17.43 L gas at 83° C when the temperature is brought down to 15° C as the pressure remains unchanged. |
| Answer: 14.1 L |
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| 10. | 25 L of gas at 237° C was compressed to 10 L at constant pressure. Determine the resulting temperature of the gas. |
| Answer: -69° C |
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Gay-Lussac's Law Problems
| 1. | A sample of a gas sealed in a vessel was determined to have a pressure of 0.993 atm at 1° C. What would be the pressure of the gas if the vessel was heated to increase the temperature by 72° C? |
| Answer: 1.254 atm |
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| 2. | A gas cylinder containing a certain gas is found to have a pressure of 11.2 atm at 63° C. If the cylinder is immersed in a cooling solution so that the temperature is lowered by 15° C, calculate the resulting pressure inside the cylinder. |
| Answer: 10.7 atm |
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| 3. | A sample of a gas sealed in a vessel was determined to have a pressure of 0.961 atm at 14° C. What would be the pressure of the gas if the vessel was heated to increase the temperature by 64° C? |
| Answer: 1.175 atm |
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| 4. | A gas cylinder containing a certain gas is found to have a pressure of 4 atm at 47° C. If the cylinder is immersed in a cooling solution so that the temperature is lowered by 12° C, calculate the resulting pressure inside the cylinder. |
| Answer: 3.85 atm |
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| 5. | A sample of a gas has a pressure of 8 atm and a temperature of -29° C. Find the corresponding change in the temperature if the pressure is (a) reduced to 3 atm, (b) tripled. Assume the volume of the gas is constant. |
| Answer: (a) -182° C, (b) 459° C |
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| 6. | A sample of a gas has a pressure of 8 atm and a temperature of 527° C. Find the corresponding change in the temperature if the pressure is (a) reduced to 5 atm, (b) tripled. Assume the volume of the gas is constant. |
| Answer: (a) 227° C, (b) 2127° C |
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| 7. | A sample of a gas has a pressure of 11 atm and a temperature of -164° C. Find the corresponding change in the temperature if the pressure is (a) reduced to 2 atm, (b) tripled. Assume the volume of the gas is constant. |
| Answer: (a) -253° C, (b) 54° C |
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Combined Gas Law Problems
| 1. | An expandable air balloon containing 57.6 L of a sample of a gas has a pressure of 1.341 atm at 93° C. What will be the resulting volume of the gas if the pressure is changed to 8 atm and the temperature is increased by 28° C? |
| Answer: 10.4 L |
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| 2. | 81.28 L of a sample of gas has a pressure of 0.72 atm and a temperature of 19° C. After compressing the volume down to 8.42 L and increasing the temperature to 83° C, calculate the change in the pressure of the gas. |
| Answer: 8.47 atm |
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| 3. | What will be the final temperature of a 89.817 L gas at 16° C if its volume is changed to 6.422 L and its pressure changed from 1.06 atm to 4.958 atm? |
| Answer: -176° C |
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| 4. | 9.2 L of a sample of gas has a pressure of 3.03 atm and a temperature of 30° C. After compressing the volume down to 3.89 L and increasing the temperature to 55° C, calculate the change in the pressure of the gas. |
| Answer: 7.76 atm |
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| 5. | What will be the final temperature of a 154.139 L gas at 28° C if its volume is changed to 24.467 L and its pressure changed from 0.797 atm to 15.435 atm? |
| Answer: 652° C |
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Ideal Gas Law Problems
| 1. | A 40.116 L tank containing a sample of gas has a pressure of 3.393 atm and a temperature of 64° C. Find the moles of gas contained inside the tank. |
| Answer: 4.922 mol |
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| 2. | Calculate the volume of 1.232 mol of a gas confined in a sealed vessel with a pressure of 3.916 atm and a temperature of 65° C. |
| Answer: 8.726 L |
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| 3. | Given a volume of 20.86 L of the following gases at STP : (a) NH3, (b) H2S, (c) Ne, find the weight in grams of each gas. (mol. wt.: NH3=17.0304, H2S=34.0758, Ne=20.179) |
| Answer: (a) 15.86 g, (b) 31.73 g, (c) 18.79 g |
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| 4. | Given a weight of 2.84 g of each of the following gases: (a) CH4, (b) O2, (c) F2, calculate the volume of each gas at STP. (mol. wt.: CH4=16.0426, O2=31.9988, F2=37.9968) |
| Answer: (a) 3.97 L, (b) 1.99 L, (c) 1.67 L |
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