One mole of a gas obeying the equation of state $P(V-b)=R T$ is made to expand from a state with coordinates $\left(P_{1}, V_{1}\right)$ to a state with $\left(P_{2}, V_{2}\right)$ along a process that is depicted by a straight line on a $P-V$ diagram. Then, the work done is given by
  • A$\frac{1}{2}$(${P_1} + {P_2})\left( {{V_2} - {V_1}} \right)$
  • B$\;\frac{1}{2}$(${P_2} - {P_1})\left( {{V_2} - {V_1}} \right)$
  • C$\frac{1}{2}$(${P_1} + {P_2})\left( {{V_2} - {V_1} + 2b} \right)$
  • D$\;\frac{1}{2}$(${P_2} - {P_1})\left( {{V_2} + {V_1} + 2b} \right)$
NEET 2017, Easy
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