Problem $1(11$ marks$)$

Consider a well$-$insulated piston$-$cylinder assembly containing $5\mathrm{.}0$ kg of water

vapor initially at a temperature of $540C$ and a pressure of $60$ bar. This

system undergoes a reversible expansion to reach a final pressure of $20$ bar.

The surroundings are maintained at a pressure of $1\mathrm{.}0$ bar and a temperature

of $25C.$ Please provide solutions to the following questions:

a$)$ Determine the entropy change of the universe for this process. $(2$ marks$)$

b$)$ Determine the final temperature and state of the water. $(4$ marks$)$

c$)$ Compute the work produced during this expansion. $(3$ marks$)$

d$)$ Find the final volume of the system. $(2$ marks$)$