$5($b$)\_$#$1$: Air performs a Carnot Cycle between $32$C and $657$C$.$ The pressure at the end of the

isothermal expansion is $2\mathrm{.}5$ bar, while the pressure at the end of the isothermal compression is

$0\mathrm{.}5$ bar.

a$)$ Draw a T$-$s diagram for the cycle and include the known pressure values.

b$)$ Determine the unknown pressures values, bar.

c$)$ Find the heat transfer and work, in kJ$/$kg$,$ for each process.

d$)$ Calculate the thermal efficiency. $(67\mathrm{.}1\%)$