A Carnot cycle shown in $\boxed{Figure 1}$ has the following conditions: $T_H = 520 K$, $T_C = 320 K$, $V_A = 0.220 m^3$, and $V_B = 0.320 m^3$. The gas used in the cycle is 0.22 mol of a diatomic gas, $\gamma = 1.4$.
Calculate the volume at $V_C$ in appropriate units.
What is the work done along process $ab$?
What is the heat added along process $ab$?
Calculate the net work done for the whole cycle.
What is the efficiency of the cycle, using the definition $\epsilon = \frac{W}{Q_H}$?