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Q.

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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a

RTln⁡2V−bV−b

b

RTln⁡V−bV

c

RTln⁡V−b2V−b

d

RTln⁡VV−b

answer is A.

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Detailed Solution

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