10. Work done by a system under isothermal change from a volume

V₁ to V₂  for a gas which obeys Vander Waal’s equation (V-βn)[P+(αn²/V)]=nRT

(a) nRT log_e  [ (V₂-nβ)/( V₁-nβ) ]+αn²[(V₁ – V₂)/(V₁ V₂)]

(b) nRT log₁₀  [ (V₂-nβ)/( V₁-nβ) ]+αn²[(V₁ – V₂)/(V₁ V₂)]

(c) nRT log_e  [ (V₂-nα)/( V₁-nα) ]+βn²[(V₁ – V₂)/(V₁ V₂)]

(d) nRT log_e  [ (V₁-nβ)/( V₂-nβ) ]+αn²[(V₁ V₂)/(V₁ – V₂)]

Answer-a