Consider a Carnot cycle in which the working substance is 0.10 mol of perfect gas molecules, the temperature of the hot source is 373 K, and that of the cold sink is 273 K; the initial volume of gas is 1.00 dm3 , which doubles over the course of the first isothermal stage. For the reversible adiabatic stages it may be assumed that VT3/2 = constant. A) calculate the volume of the gas VB and Vc).
B) calculate the volume of the gas after stage 3 (VD) by considering the reversible adiabatic compression from the starting point.
C) for each of the four stages of the cycle, calculate the heat transferred to or from the gas.
D) Explain why the work done is equal to the difference between the heat extracted from the hot source and that deposited in the cold sink.
E) calculate the work done over the cycle and hence the efficiency n.
F) confirm that your answer agrees with the efficiency from n = 1-Tc/Th).