One mole of an ideal gas at temperature $$T1$$ expands according to the law $$PV2=a$$ (constant). The work done by the gas till temperature of gas becomes $$T2$$ is :

Correct option is 213R(T2−T1)

Questions

One mole of an ideal gas at temperature $T_{1}$ expands according to the law $\frac{P}{V^{2}} = a$ (constant). The work done by the gas till temperature of gas becomes $T_{2}$ is :

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detailed solution

Correct option is B

W=∫V1V2PdV =∫V1V2aV2dV =a[V33]V1V2=a3(V23−V13) =13[P2V2−P1V1] =13[nRΔT]=13R(T2−T1)

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One mole of an ideal gas at temperature T1 expands according to the law PV2=a (constant). The work done by the gas till temperature of gas becomes T2 is :

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One mole of an ideal gas at temperature $T_{1}$ expands according to the law $\frac{P}{V^{2}} = a$ (constant). The work done by the gas till temperature of gas becomes $T_{2}$ is :