QUESTION $3$: Steam & Ideal Gases $(25$ Marks$)$

$($a$)$ Draw a rough sketch of the Ts diagram for water$/$steam showing and giving a brief explanation of the following terms:

$($i$)$ Saturated Liquid Line, f $,$ also give $T$&$h$ at $0\mathrm{.}9$ bar;

$($ii$)$ Saturated Vapour Line, g$,$ also give $T$&$h$ at $0\mathrm{.}9$ bar;

$($iii$)$ Critical Point, c $,$ also give T $,$ s and P $.$

$(9$ Marks$)$

$($b$)$ A condenser takes in $0\mathrm{.}8k\frac{g}{s}$ of wet steam at $0\mathrm{.}9$ bar and quality $x=0\mathrm{.}85,$ and outputs saturated water at the same pressure. What is the heat rejected in the condenser in kW$?$ Given that the water should exit at $1\mathrm{.}2\frac{m}{s},$ what exit pipe diameter would you select?

$(10$ Marks$)$

$($c$)$ Air $($an ideal gas, $R=287\frac{J}{k}gK)$ is compressed according to the polytropic law $P{v}^{1\mathrm{.}2}=C.$ Find the missing values in the table below:

$\backslash$table$[[$State$,$P $($bar$,$ ABS