Pressure in gases worked examples
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This document contains worked examples of gas law problems. The problems demonstrate using the gas laws to calculate new volumes or temperatures given initial conditions and a change in pressure, volume, or temperature. The key gas law used is PV=nRT, where temperature is kept constant. The problems are solved by setting up the gas law equation with the known parameters and solving for the unknown value.
Pressure in gases worked examples
- 1. Pressure in Gases Worked Examples
- 2. If 22.5 L of nitrogen at 748 mm Hg are compressed to 725 mm Hg at constant temperature. What is the new volume? What is kept constant in this question? 1) Temperature 2) Volume 3) Pressure
- 3. If 22.5 L of nitrogen at 748 mm Hg are compressed to 725 mm Hg at constant temperature. What is the new volume? Which formula is appropriate in this case? 1) (P1V1)/T1= (P2V2)/T2 2) P1=K/V1 3) V1=T1K 4) P1V1= P2V2
- 4. If 22.5 L of nitrogen at 748 mm Hg are compressed to 725 mm Hg at constant temperature. What is the new volume? P1V1= P2V2 (748mm Hg)(22.5L) = (725mm hg) V2 V2 = 23.2L
- 5. Calculate the decrease in temperature when 6.00 L at 20.0 °C is compressed to 4.00 L What is kept constant in this question? 1) Temperature 2) Volume 3) Pressure
- 6. Calculate the decrease in temperature when 6.00 L at 20.0 °C is compressed to 4.00 L Which formula is appropriate in this case? 1) V1/T1= V2/T2 2) P1=K/V1 3) V1=T1K 4) P1V1= P2V2
- 7. Calculate the decrease in temperature when 6.00 L at 20.0 °C is compressed to 4.00 L V1/T1= V2/T2 (6.00)/(20+273) = (4.00)/(T2) (T2)=195K Ti-Tf= 293K – 195K = 98K
- 8. A gas balloon has a volume of 106.0 liters when the temperature is 45.0 °C and the pressure is 740.0 mm of mercury. What will its volume be at 20.0 °C and 780 .0 mm of mercury pressure? What is kept constant in this question? 1) Temperature 2) Volume 3) Pressure
- 9. A gas balloon has a volume of 106.0 liters when the temperature is 45.0 °C and the pressure is 740.0 mm of mercury. What will its volume be at 20.0 °C and 780 .0 mm of mercury pressure? Which formula is appropriate in this case? 1) V1/T1= V2/T2 2) P1=K/V1 3) (P1V1)/T1= (P2V2)/T2 4) P1V1= P2V2
- 10. A gas balloon has a volume of 106.0 liters when the temperature is 45.0 °C and the pressure is 740.0 mm of mercury. What will its volume be at 20.0 °C and 780 .0 mm of mercury pressure? (P1V1)/T1= (P2V2)/T2 ((740mm hg)(106L))/(45+273) = ((780mm hg)(V2))/(20+273) V2 = 92.7L
- 11. A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure What is kept constant in this question? 1) Temperature 2) Volume 3) Pressure
- 12. A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure Which formula is appropriate in this case? 1) V1/T1= V2/T2 2) P1=K/V1 3) V1=T1K 4) P1V1= P2V2
- 13. A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure V1/T1= V2/T2 (5.00L)/(100K)=(20.0L)/(T2) T2 =400K
- 14. A gas with a volume of 4.0L at a pressure of 205kPa is allowed to expand to a volume of 12.0L. What is the pressure in the container if the temperature remains constant? What is kept constant in this question? 1) Temperature 2) Volume 3) Pressure
- 15. A gas with a volume of 4.0L at a pressure of 205kPa is allowed to expand to a volume of 12.0L. What is the pressure in the container if the temperature remains constant? Which formula is appropriate in this case? 1) V1/T1= V2/T2 2) P1=K/V1 3) (P1V1)/T1= (P2V2)/T2 4) P1V1= P2V2
- 16. A gas with a volume of 4.0L at a pressure of 205kPa is allowed to expand to a volume of 12.0L. What is the pressure in the container if the temperature remains constant? P1V1= P2V2 (205kPa)(4.0L)=(P2 )(12.0L) (P2 )=68.3kPa
- 17. If 10.0 liters of oxygen at STP are heated to 512 °C, what will be the new volume of gas if the pressure is also increased to 1520.0 mm of mercury? What is kept constant in this question? 1) Temperature 2) Volume 3) Pressure
- 18. If 10.0 liters of oxygen at STP are heated to 512 °C, what will be the new volume of gas if the pressure is also increased to 1520.0 mm of mercury? Which formula is appropriate in this case? 1) V1/T1= V2/T2 2) P1=K/V1 3) (P1V1)/T1= (P2V2)/T2 4) P1V1= P2V2
- 19. If 10.0 liters of oxygen at STP are heated to 512 °C, what will be the new volume of gas if the pressure is also increased to 1520.0 mm of mercury? (P1V1)/T1= (P2V2)/T2 (760.0 mm Hg)(10.0L)/273K=(1520.0 mm Hg)(V2)/(512+273) V2=14.4L