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.
- The pressure of the gas is increased to 4.23 × 105Pa while maintaining a constant volume.
- The volume of the gas is increased to 11.2 m3 whilemaintaining a constant pressure.
- The pressure of the gas is decreased to 1.23 × 105Pa while maintaining a constant volume.
- 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