1) (25 points). One form of the virial equation of state isgiven by , (pV)/(RT)=1+(Bp)/(RT) whereB is a constant. Given a reversible isothermal path from (p1V1 )to(p2V2) and the virial equation, answer the following questionsshowing all work:
a) (5 points). Calculate the work along the path.
b) (10 points). If (dU/dV)T=T(dp/dt)v-p, calculate dU along thisisothermal path.
c) (10 Points). Consider a second path - one which isnon-isothermal - that goes from the same initial state p1V1 to thesame final state p2V2 and the same equation of state.What is dU for this non-isothermal path? How much work is donealong this second path? Explain.