For a particular ideal gas, with a molar specific heat at constant volume $CV,m=$

$3\mathrm{.}5R$ at all temperatures, compute $Q,W,U,$ and $H$ when $3\mathrm{.}00$ mol of this gas

undergoes the following processes:

$($a$)$ Undergoes a reversible isobaric expansion from $(2\mathrm{.}00$atm,$21\mathrm{.}0L)$ to

L$).$

$($b$)$ Experiences a reversible isochoric change of state from $(2\mathrm{.}00$atm,$41\mathrm{.}0L)$ to

atm, $41\mathrm{.}0L.$

$($c$)$ Encounters a reversible isothermal compression from $(1\mathrm{.}500$ atm, $41\mathrm{.}0L$ to $(2\mathrm{.}00$

atm, $21\mathrm{.}0$ L$).$

d$)$

Sketch each process on the same $P-V$ diagram and calculate $Q,W,U,$ and $H$ for a

cycle that involves steps $($a$),($b$),$ and $($c$).$