Question $2$:

Consider a steam power plant operating on the simple ideal Rankine cycle. Steam enters

the turbine at $3$ MPa and $350\backslash$deg C and is condensed in the condenser at a pressure of $75$

kPa.

$($a$)$ Show the cycle on a labelled T$-$s diagram with respect to saturation lines and

Determine the enthalpies $($in kJ$/$kg$)$ at each stage of the thermodynamic cycle.

$[15$marks$]$

$($c$)$ Calculate the thermal efficiency of the cycle.

$[5$ marks$]$

$($d$)$ Calculate the required mass flow rate of natural gas required for the power

plant above to generate a net power of $500$ MW$,$ given a calorific value $40$ MJ$/$m$3$

and density of $0\mathrm{.}78$ kg$/$m$3$

for natural gas.

$[5$ marks$]$