A simple ideal Rankine cycle with water as the working fluid operates between the

pressure limits of $4$MPa in the boiler and $20$kPa in the condenser and a turbine inlet

temperature of $700C.$ The boiler is sized to provide a steam flow of $50k\frac{g}{s}.$ Following

the conventional numbering of the processes, you are given the following state

properties $($these are obtained from the tables$/$ equations, so you don't have to use

them$).$

$h_1=251\mathrm{.}42k\frac{J}{k}g,v_1=0\mathrm{.}001017\frac{m^3}{k}g$

$h_2=255\mathrm{.}47k\frac{J}{k}g$

$h_3=3906\mathrm{.}3k\frac{J}{k}g,s_3=7\mathrm{.}6214k\frac{J}{k}gK$

$x_4=0\mathrm{.}9596,h_4=2513\mathrm{.}7k\frac{J}{k}g$

Determine the

$($a$)$ Power consumed by the pump: $W_p^{}$ in $kW$

$($b$)$ Net power output of the cycle: $W_{\text{n}\text{e}\text{t}}^{}$ in kW