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JEE PHYSICS MCQ: THERMODYNAMICS

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The pressure of an ideal gas varies with volume as P=αV,P = \alpha V, where α\alpha is a constant. One mole of the gas is allowed to undergo expansion such that its volume becomes ′m′'m' times its initial volume. The work done by the gas in the process is
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Correct option: D
αV22(m2−1)\frac{{\alpha {V^2}}}{2}\left( {{m^2} - 1} \right)
Option D (αV22(m2−1)\frac{{\alpha {V^2}}}{2}\left( {{{{m^2} - 1}}} \right)) is correct because it is the result of integrating PdVP dV with the given pressure-volume relationship.

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