The pressure of an ideal gas varies with volume as $P = \alpha V$,where $\alpha$ is a constant. One mole of the gas is allowed to undergo expansion such that its volume becomes $m$ times its initial volume. The work done by the gas in the process is
- A$\frac{\alpha V^2}{2}(m^2-1)$
- B$\frac{\alpha V}{2}(m^2-1)$
- C$\frac{\alpha^2 V^2}{2}(m^2-1)$
- D$\frac{\alpha}{2V}(m^2-1)$
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