PLEASE ANSWER ASAP, USING THERMODYNAMICS LAWS AND CONCEPTS!!!$5\mathrm{.}77$ A quantity of water within a piston$-$cylinder assembly executes a Carnot power cycle. During isothermal expansion. the water is heated from saturated liquid at $50$ bar until it is a saturated vapor. The vapor then expands adiabatically to a pressure of $5$ bar while doing $364\mathrm{.}31k\frac{J}{k}g$ of work.

$($a$)$ Sketch the cycle on $p-v$ coordinates.

$($b$)$ Evaluate the heat transfer per unit mass and work per unit mass for each process, in $k\frac{J}{k}g.$

$($c$)$ Evaluate the thermal efficiency.