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One mole of an ideal gas at temperature \( T_{1} \)
\( \mathrm{P} \)
W expands according to the law \( \frac{P}{V^{3}}=a \) (constant).
The work done by the gas till temperature of gas becomes \( \mathrm{T}_{2} \)
(1) \( \frac{1}{2} R\left(T_{2}-T_{1}\right) \)
(2) \( \frac{1}{3} R\left(T_{2}-T_{1}\right) \)
(3) \( \frac{1}{4} R\left(T_{2}-T_{1}\right) \)
(4) \( \frac{1}{5} R\left(T_{2}-T_{1}\right) \)
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