PROBLEM I $[12$ pts$]$

A piston$-$cylinder device with a set of stops initially contains $0\mathrm{.}3$ kg of steam at $1\mathrm{.}0$ MPa and $400C.$ The location of the stops corresponds to $60$ percent of the initial volume. Now the steam is cooled. Determine the compression work if the final state is:

a$)1\mathrm{.}0$ MPa and $250C,$

b$)500$ kPa

c$)$ Also determine the temperature at the final state in part $($b$).$

$\backslash$table$[[$W $($a$),22\mathrm{.}16$ kJ$],[$W $($b$),36\mathrm{.}79$ kJ$],[T_2,151\mathrm{.}8C$