Consider a steam power plant that operates on a simple ideal

Rankine cycle and has a net power output of $50MW.$ Steam

enters the turbine at $10$MPa and $500C$ and is cooled in the

condenser at a pressure of $10$kPa by running cooling water

from a lake through the tubes of the condenser at a rate of

$2000k\frac{g}{s}.$ Draw the flow diagram and show the cycle on a $T-$

$s$ diagram with respect to saturation lines, and determine:

$($a$)$The thermal efficiency of the cycle,

$($b$)$The mass flow rate of the steam, and

$($c$)$The temperature rise of the cooling water.

$($d$)$The fuel mass flow rate if its calorific value is $40M\frac{J}{K}g$

and boiler eff. $90\%.$