Question$\backslash$#$3$:

In a steam power plant with reheat, the maximum temperature of the water reaches up to $\backslash (500^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ in the cycle. The pressure values at the highest, intermediate, and lowest stages in the cycle are $3$ MPa $,1$ MPa $,$ and $10$ kPa $,$ respectively. Assuming saturated liquid water at the condenser exit and $100\backslash \%$ isentropic efficiency for both the turbine and the pump, determine the following:

a$)$ calculate the total amount of required input heat to the cycle, $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}\backslash )(\backslash (\backslash$mathbf$\{30\}\backslash$mathbf$\{$M a r k s$\}\backslash ))$

b$)$ Draw a proper T$-$s diagram for the cycle $(10$ Marks$)$