I am having some troubles in solving the following problem a professor gave us, and in my opinion I think that either there are insufficient data or the solutions are infinite.
We have a perfect gas, diatomic, which passes through the following cycle:
$AB$ an isothermal transformation; $BC$ an adiabatic transformation; $CD$ a isobaric transformation; $DA$ an isocora (isovolumetric transformation). The ONLY known initial parameters are $T_A$ and $V_A$ (and of course also $C_p$ and $C_v$), and also the text says that the total work from $A$ to $D$ is zero.
The question is: find $V_B$.
Now as I said, either there are infinite solutions or something is missing. Right? The first hypothesis is due to the fact that I can draw many diagrams for the transformation, such like these:
Am I right? Thank you!