Question
For an ideal gas undergoing an adiabatic process where $PV^{\gamma} = \text{const}$ and $\gamma = \frac{5}{3}$, the work done when volume changes from $V_1$ to $2V_1$ is:
Options
- A
$\frac{P_1 V_1 \left(1 - 2^{-2/3}\right)}{\frac{2}{3}}$
- B
$\frac{3P_1 V_1}{2}\left(1 - 2^{-2/3}\right)$
- C
$P_1 V_1 \ln 2$
- D
$\frac{2P_1 V_1}{\gamma - 1}$