D$5-$Example$1$:

Consider a steam power plant driven by a Rankine cycle

The turbine inlet is $500C$ and $14$ bar $.$

bar

The turbine outlet is at atmospheric pressure.

The condensate leaving the condenser is cooled to $60C$

a$)$ Identify all states in the p$-$H diagram.

b$)$ Determine

i$.$ the work done by the turbine $k\frac{J}{k}g$

ii$.$ the work done by the pump $k\frac{J}{k}g$

iii. the heat input to the boiler $k\frac{J}{k}g$

c$)$ the thermal efficiency of the cycle

d$)$ the circulation rate required to provide output power of $W_{\text{o}\text{u}\text{t}}=30MW$

Bonus: Suppose the pump and turbine are $80\%$ efficient. How does this impact the

conversion efficiency? Visualize the inefficiencies for the compression and

expansion in the $P-$h diagram.