$****14\mathrm{.}3.$ One kilogram of steam goes through the following reversible process: In its initial state $($state $1)$ it is at $2700$kPa and $540C.$ It is then expanded isothermally to state $2,$ which is at $700$kPa. Then it is cooled at constant volume to $400$kPa $($state $3).$ Next it is cooled at constant pressure to a volume of $0\mathrm{.}4625\frac{m^3}{k}g($state $4).$ Then it is compressed adiabatically to $2700$kPa and $425C($state $5),$ and finally it is heated at constant pressure back to the original state.

a$.$ Sketch the path of each step in a $p-V$ diagram.

b$.$ Compute $U$ and $H$ for each step and for the entire process.

c$.$ Compute $Q$ and $W$ whenever possible for each step of the process.