Solve the following problem:
Prove that the work done by an ideal gas with constant heat capacities during a quasi-static adiabatic expansion is equal to:
a. W = -Cv(Ti-Tf)
b. W =PfVf - PiVi/γ-1
c. W = PfVf/γ-1[1 - (Pi/Pf)(γ-1)/γ ]
Make sure you use enough details to support your answer.