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The equation of a state of a gas is given by $ρ$ (V $-$ b) = nRT. 1 mol of a gas is isothermally expanded from volume V to 2V, the work done during the process is

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RTln⁡2V−bV−b

RTln⁡V−bV

RTln⁡V−b2V−b

RTln⁡VV−b

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detailed solution

Correct option is A

p=nRTV−bW=∫V2V pdV=nRT∫V2V dVV−b ( As, T= constant )=nRTln⁡2V−bV-b=RTln⁡2V−bV−b ( As, n=1)

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The equation of a state of a gas is given by ρ(V - b) = nRT. 1 mol of a gas is isothermally expanded from volume V to 2V, the work done during the process is

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The equation of a state of a gas is given by $ρ$ (V $-$ b) = nRT. 1 mol of a gas is isothermally expanded from volume V to 2V, the work done during the process is