PROBLEM $3\mathrm{.}52$

A piston$-$cylinder assembly contains $2$ lb of water, initially at $100lb\frac{f}{i}n.{?}^2$ and $400F.$ The water

undergoes two processes in series: a constant pressure process followed by a constant volume $,$

process. At the of the constant volume process, the temperature is $300F$ and the water is a two$-$

phase liquid$-$vapor mixture with a quality of $60\%.$ Neglect kinetic and potential energy effects.

$($a$)$ Sketch $T-v$ and $p-v$ diagrams showing the key states and the processes.

$($b$)$ Determine the work and heat transfer for each process, all in Btu.