- #1

- 36

- 2

Assuming the process consists of two isobaric processes and two isothermal processes the work from B to C in terms of p

_{1}, p

_{2}, V

_{1}, and V

_{2}is given by the following.

1) W

_{BC}=p

_{2}(V

_{C}-V

_{B})

2) Isothermal from A → B so p

_{1}V

_{1}= p

_{2}V

_{B}so V

_{B}=(p

_{1}V

_{1})/p

_{2}

3) Similarly V

_{C}=(p

_{1}V

_{2})/p

_{2}

4) W

_{BC}= p

_{2}((p

_{1}V

_{2})/p

_{2}-(p

_{1}V

_{1})/p

_{2})

5) Factor out p

_{1}/p

_{2}and simplify the you get;

W

_{BC}=p_{1}(V_{2}-V_{1})