One mole of an ideal gas undergoes a process $PV^3 = \text{constant}$, where $P$ and $V$ are pressure and volume respectively. Let $W$ be the work done by the gas as its temperature is increased by $\Delta T$. The value of $|W|$ is ($R$ is the universal gas constant).
- A$R \Delta T$
- B$\frac{1}{4} R \Delta T$
- C$R^3 \Delta T$
- D$\frac{R}{2} \Delta T$
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