$R=8\mathrm{.}314\frac{J}{m}$olK,$R=83\mathrm{.}14c\frac{m^3}{b}ar\frac{?}{\text{m}\text{o}\text{l}\text{K}},R=82\mathrm{.}06c{m}^{3}at\frac{m}{m}$olK

$2.$ An ideal gas is undergoing a mechanically reversible process consisting of four steps: $(1->2)$ adiabatic compression from $V_1=0\mathrm{.}1m^3,P_1=1$ bar to $V_2,P_2=5$ bar $(2->)$ isobaric expansion at $P_2=5$ bar until a temperature $T_3=80C$ is reached. $(3->4)$ isothermal expansion until a pressure of $P_4=3\mathrm{.}5$ bar is reached. $(4->1)$ isochoric process to return to $P_1,V_1.$ Calculate Q$,$ W$,UU,H$ for each branch and for the complete cycle. $=C\frac{p}{C}v=7\frac{R}{5}R,$ Draw this process on a pressure vs$.$ Volume diagram and carefully label all points. Be systematic, show all your work.