An inventor designs a new heat engine that can be modeled on the Carnot cycle. The working gas in the heat engine is 1 mole of helium. The isothermal expansion results in the internal volume changing from 1 L to 3 L. The engine operates at Th = 150 °C and Tc = 25 °C. (show steps)

a) Calculate the volume change associated with the adiabatic expansion

b) Calculate the heat flow, work and entropy

c) Calculate the net q,w, and s for the cycle

d) Calculate the maximun efficiency of the engine