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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 (Vβ n)(P+an2V)=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=nRtVnβαn2V2

Work done, W=V2V1PdvnRT V2V1dVVnβαn2V2V1dVV2

=nRT[loge(Vnβ)]V1V2+αn2[1V]V2V1

=nRT loge=V2nβV1nβ+αn2(V1V2V1V2)

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