In: Physics
A piston contains 600 moles of an ideal monatomic gas that initally has a pressure of 2.44 × 105 Pa and a volume of 1.8 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. The pressure of the gas is increased to 5.44 × 105 Pa while maintaining a constant volume. The volume of the gas is increased to 8.8 m3 while maintaining a constant pressure. The pressure of the gas is decreased to 2.44 × 105 Pa while maintaining a constant volume. The volume of the gas is decreased to 1.8 m3 while maintaining a constant pressure. It may help you to recall that CV C V = 12.47 J/K/mole and CP C P = 20.79 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is equal to Avagadros number (6.022 × 1023) times the number of moles of the gas. 1) How much energy is transferred into the gas from the hot reservoir? J 2) How much energy is transferred out of the gas into the cold reservoir? J 3) How much work is done by the gas? J 4) What is the efficiency of this cycle?