$3\mathrm{.}36.$ One cubic meter of argon is taken from $1$ bar and $25C$ to $10$ bar and $300C$ by each of the following two$-$step paths. For each path, compute $Q,W,U,$ and $H$ for each step and for the overall process. Assume mechanical reversibility and treat argon as an ideal gas with $C_P=(\frac{5}{2})R$ and $C_V=(\frac{3}{2})R.$

$($a$)$ Isothermal compression followed by isobaric heating.

$($b$)$ Adiabatic compression followed by isobaric heating or cooling.

$($c$)$ Adiabatic compression followed by isochoric heating or cooling.

$($d$)$ Adiabatic compression followed by isothermal compression or expansion.