Imagine you have been transported to thermodynamic nirvana where you can actually

take gas through a real, reversible Carnot cycle. $25$ moles of air starts at $P=5$MPa and

$T_H=600K($state a$).1500\frac{J}{m}ol$ of heat is added in the isothermal expansion step. After

the adiabatic expansion, the air is at $T_C=298K.$ Remember that air can be assumed to be

a diatomic ideal gas.

a$.$ Calculate $P,T,$ and $V$ for each state and fill in the table below.

b$.$ How much work $(\frac{J}{\text{m}\text{o}\text{l}}$