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Q.

One mole of a gas obeying the equation of state  P(V - b) =RT is made to expand from a state with coordinates (P1, V1) to a state with (P2, V2) along a process that is depicted by a straight line on a P - V diagram. Then, the work done is given by :

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a

12(P1+P2)(V2-V1)

b

12(P2-P1)(V2+V1+2b)

c

12(P2-P1)(V2-V1)

d

12(P1+P2)(V2-V1+2b)

answer is A.

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Detailed Solution

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P  ∝  V  in the given process
P = AV + B
W = Area under line
=12 P1+P2   V2−V1

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