$2\mathrm{.}80$ As shown in Fig. P$2\mathrm{.}80,$ a gas within a piston$-$cylinder

assembly undergoes a thermodynamic cycle consisting of

three processes in series:

Process $1-2$: Compression with $U_2=U_1.$

Process $2-3$: Constant$-$volume cooling to $p_3=140$kPa,$V_3=$

$0\mathrm{.}028m^3.$

Process $3-1$: Constant$-$pressure expansion with $W_{31}=10\mathrm{.}5kJ.$

For the cycle, $W_{\text{g}\text{o}\text{d}\text{e}}=-8\mathrm{.}3kJ.$ There are no changes in

kinetic or potential energy. Determine $($a$)$ the volume at

state $1,$ in $m^3,($b$)$ the work and heat transfer for process $1-2,$

each in kJ$.($c$)$ Can this be a power cycle? A refrigeration

cycle? Explain.

Fig. P$2\mathrm{.}80$