Equation of state for a gas is given by P(V−b)=nRT. If 1 mole of gas is isothermally expanded from volume V to 2V, then total work done during that process is
A
nRTln∣∣2V−bV−b∣∣
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B
nRTln∣∣V−bV∣∣
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C
nRTln∣∣V−b2V−b∣∣
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D
nRTln∣∣VV−b∣∣
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Solution
The correct option is AnRTln∣∣2V−bV−b∣∣ Work done in any process can be given by; W=∫V2V1PdV Where, P=nRTV−b W=∫2VVnRTV−bdV=nRT[ln(V−b)]2VV W=nRTln∣∣2V−bV−b∣∣