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

$12341$

The description of the states is as follows:

State $1$: $1\mathrm{.}5$Ar $($g$,12\mathrm{.}5$ bar, $1000$ cm$3$

$)$

State $2$: $1\mathrm{.}5$Ar $($g$,37\mathrm{.}5$ bar, $1000$ cm$3$

$)$

State $3$: $1\mathrm{.}5$Ar $($g$,37\mathrm{.}5$ bar, $3000$ cm$3$

$)$

State $4$: $1\mathrm{.}5$Ar $($g$,12\mathrm{.}5$ bar, $3000$ cm$3$

$)$

a$)$ Show the net work on an indicator diagram. $[3]$

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