Ideal Gas — A piston contains 250 moles of an ideal monatomic gas that initially has a pressure of 3.00 × 105 Pa and a volume of 1.0 m3. The piston is connected to a hot and cold reservoir and the gas...

Ideal Gas — A piston contains 250 moles of an ideal monatomic gas that initially has a pressure of 3.00 × 105 Pa and a volume of 1.0 m3. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir. Cv = 12.47 J/K/mole and Cp = 20.79 J/K/mole for a monatomic ideal gas.

Step 1: Pressure increased to 6.00 × 10^5 Pa; constant volume

Step 2: Volume increased to 5.0 m^3; constant pressure

Step 3: Pressure decreased to 3.00 × 10^5 Pa; constant volume

Step 4: Volume decreased to 1.0 m^3; constant pressure

1) How much work is done by the gas for each process?

2) How much energy is transferred into or out of the gas in the form of heat for each process?

3) What is the change in internal energy for each process?