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Please include detailed work for answers A piston contains 770 moles of an ideal monatomic gas...

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Physics

Please include detailed work for answers

A piston contains 770 moles of an ideal monatomic gas thatinitally has a pressure of 1.23 × 105 Pa and a volume of4.2 m3. The piston is connected to a hot and coldreservoir and the gas goes through the following quasi-static cycleaccepting energy from the hot reservoir and exhausting energy intothe cold reservoir.

  1. The pressure of the gas is increased to 4.23 × 105Pa while maintaining a constant volume.
  2. The volume of the gas is increased to 11.2 m3 whilemaintaining a constant pressure.
  3. The pressure of the gas is decreased to 1.23 × 105Pa while maintaining a constant volume.
  4. The volume of the gas is decreased to 4.2 m3 whilemaintaining a constant pressure.

It may help you to recall that CVCV = 12.47J/K/mole and CPCP = 20.79 J/K/mole for amonatomic ideal gas, and that the number of gas molecules is equalto Avagadros number (6.022 × 1023) times the number ofmoles of the gas.

1)How much energy istransferred into the gas from the hot reservoir? ___J

2)How much energy istransferred out of the gas into the cold reservoir? ___J

3)How much work isdone by the gas? ___J

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