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Question

Work done by a system under isothermal change from a volume V1 to V2 for a gas which obeys Vander Waal's equation (Vβn)(P+αn2V)=nRT


A

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B

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C

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D

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Solution

The correct option is A


According to given Vander Waal's equation

P=nRTVnβan2V2

Work done,

W=V2V1PdV=nRTV2V1dVVnβαn2V2V1dVV2

= nRT[loge(Vnβ)]V2V1+αn2[1V]V2V1

= nRTlogeV2nβV1nβ+αn2(V1V2V1V2)


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