CHAPTER 31 IDEAL GAS LAWS









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CHAPTER 31 IDEAL GAS LAWS

1. The pressure of a mass of gas is increased from 150 kPa to 750 kPa at constant into an empty cylinder of volume 0.1 m3 until the pressure is 5 MPa.
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208269 CHAPTER 31 IDEAL GAS LAWS 354

© John Bird Published by Taylor and Francis

CHAPTER 31 IDEAL GAS LAWS

EXERCISE 144, Page 317

1. The pressure of a mass of gas is increased from 150 kPa to 750 kPa at constant temperature.

Determine the final volume of the gas, if its initial volume is 1.5 m3 Since the change occurs at constant temperature (i.e. an isothermal change), Boyle's law applies, i.e. p 1 V 1 = p 2 V 2 where p

1 = 150 kPa, p

2 = 750 kPa and V 1 = 1.5 m 3

Hence, (150)(1.5) = (750)V

2 from which, volume V 2

150 1.5

750
= 0.3 m 3

2. In an isothermal process, a mass of gas has its volume reduced from 50 cm

3 to 32 cm 3 . If the initial pressure of the gas is 80 kPa, determine its final pressure. Since the change occurs at constant temperature (i.e. an isothermal change), Boyle's law applies, i.e. p 1 V 1 = p 2 V 2 where p 1 = 80 kPa, V

1= 50 cm

3 and V 2 = 32 cm 3

Hence, (80)(50) = (p

2 )(32) from which, pressure p 2 80 50
32

125 kPa

3. The piston of an air compressor compresses air to

1

4of its original volume during its stroke.

Determine the final pressure of the air if the original pressure is 100 kPa, assuming an isothermal change.

Since the change occurs at constant temperature (i.e. an isothermal change), Boyle's law applies, 355

© John Bird Published by Taylor and Francis

i.e. p 1 V 1 = p 2 V 2 where p 1 = 100 kPa, V 2 1 4V 1

Hence, (100)( V

1 ) = (p 2 354

© John Bird Published by Taylor and Francis

CHAPTER 31 IDEAL GAS LAWS

EXERCISE 144, Page 317

1. The pressure of a mass of gas is increased from 150 kPa to 750 kPa at constant temperature.

Determine the final volume of the gas, if its initial volume is 1.5 m3 Since the change occurs at constant temperature (i.e. an isothermal change), Boyle's law applies, i.e. p 1 V 1 = p 2 V 2 where p

1 = 150 kPa, p

2 = 750 kPa and V 1 = 1.5 m 3

Hence, (150)(1.5) = (750)V

2 from which, volume V 2

150 1.5

750
= 0.3 m 3

2. In an isothermal process, a mass of gas has its volume reduced from 50 cm

3 to 32 cm 3 . If the initial pressure of the gas is 80 kPa, determine its final pressure. Since the change occurs at constant temperature (i.e. an isothermal change), Boyle's law applies, i.e. p 1 V 1 = p 2 V 2 where p 1 = 80 kPa, V

1= 50 cm

3 and V 2 = 32 cm 3

Hence, (80)(50) = (p

2 )(32) from which, pressure p 2 80 50
32

125 kPa

3. The piston of an air compressor compresses air to

1

4of its original volume during its stroke.

Determine the final pressure of the air if the original pressure is 100 kPa, assuming an isothermal change.

Since the change occurs at constant temperature (i.e. an isothermal change), Boyle's law applies, 355

© John Bird Published by Taylor and Francis

i.e. p 1 V 1 = p 2 V 2 where p 1 = 100 kPa, V 2 1 4V 1

Hence, (100)( V

1 ) = (p 2