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Pressure in Gases Worked Examples

Pressure in gases worked examples

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Pressure Worked Examples

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Page 1: Pressure in gases worked examples

Pressure in Gases

Worked Examples

Page 2: Pressure in gases worked examples

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) Temperature2) Volume3) Pressure

Page 3: Pressure in gases worked examples

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

Page 4: Pressure in gases worked examples

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

Page 5: Pressure in gases worked examples

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) Temperature2) Volume3) Pressure

Page 6: Pressure in gases worked examples

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

Page 7: Pressure in gases worked examples

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

Page 8: Pressure in gases worked examples

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) Temperature2) Volume3) Pressure

Page 9: Pressure in gases worked examples

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

Page 10: Pressure in gases worked examples

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

Page 11: Pressure in gases worked examples

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) Temperature2) Volume3) Pressure

Page 12: Pressure in gases worked examples

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

Page 13: Pressure in gases worked examples

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

Page 14: Pressure in gases worked examples

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) Temperature2) Volume3) Pressure

Page 15: Pressure in gases worked examples

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

Page 16: Pressure in gases worked examples

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

Page 17: Pressure in gases worked examples

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) Temperature2) Volume3) Pressure

Page 18: Pressure in gases worked examples

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

Page 19: Pressure in gases worked examples

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