Find the expression for the work done by a system undergoing isothermal compression (or expansion) form volume `V_(1)` to `V_(2)` at temperature `T_(0)` for a gas which obeys the van der waals equation of state. `(P +an^(2) //V^(2)) (V-bn) =nRT`?

Options

A. `nRT" log"_(e)((V_(2)-nbeta)/(v_(1)-nbeta))+alphan^(2)((V_(1)-V_(2))/(V_(1)V_(2)))`
B. `nRT" log"_(10)((V_(2)-nbeta)/(v_(1)-nbeta))+alphan^(2)((V_(1)-V_(2))/(V_(1)V_(2)))`
C. `nRT" log"_(e)((V_(2)-nbeta)/(v_(1)-nbeta))+betan^(2)((V_(1)-V_(2))/(V_(1)V_(2)))`
D. `nRT" log"_(e)((V_(1)-nbeta)/(v_(2)-nbeta))+alphan^(2)((V_(1)V_(2))/(V_(1)-V_(2)))`