One mole of an ideal gas in initial state $\mathrm{A}$ undergoes a cyclic process $A B C A$, as shown in the figure. Its pressure at $A$ is $\mathrm{P}_0$. Choose the correct option$(s)$ from the following
$(A)$ Internal energies at $\mathrm{A}$ and $\mathrm{B}$ are the same
$(B)$ Work done by the gas in process $\mathrm{AB}$ is $\mathrm{P}_0 \mathrm{~V}_0 \ln 4$
$(C)$ Pressure at $C$ is $\frac{P_0}{4}$
$(D)$ Temperature at $\mathrm{C}$ is $\frac{\mathrm{T}_0}{4}$
IIT 2010, Diffcult
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