Suppose a perfect gas having $C_{v,m}=1\mathrm{.}50R$ undergoes the reversible process

$12341$

The description of the states is as follows:

State $1$: $1\mathrm{.}5$ Ar $($g$,\{$:$\frac{12\mathrm{.}5}{b}ar,1000c{m}^3)$

State $2$: $1\mathrm{.}5$ Ar $(g,\frac{37\mathrm{.}5}{b}ar,1000c{m}^3)$

State $3$: $1\mathrm{.}5$ Ar $($g$,\{$:$\frac{37\mathrm{.}5}{b}ar,3000c{m}^3)$

State $4$: $1\mathrm{.}5$ Ar $($g$,\{$:$\frac{12\mathrm{.}5}{b}ar,3000c{m}^3)$

a$)$ Show the net work on an indicator diagram.

b$)$ Calculate the values of q$,$ w$,H,$ and $U$ for each segment and for the cycle.