Question # $3$

One mole of an ideal gas with $CP=(\frac{5}{2})R$ and $CV=(\frac{3}{2})R$ expands from $P_1=6$ bar and $T_1=800K$ to $P_2=1$ bar by each of the following paths:

$($a$)$ Constant volume

$($b$)$ Constant temperature

$($c$)$ Adiabatically

Assuming mechanical reversibility, calculate $W,Q,U,$ and $H$ for each process.

Sketch each path on a single PV diagram.