A $500$ MW $($net power$)$ coal$-$fired steam power plant operates on a regenerative reheat Rankine cycle

using an open feedwater heater. The condenser operates at $6$ kPa and the OFWH operates at $1\mathrm{.}5$ MPa $.$

The boiler delivers steam at $10\mathrm{.}0$ MPa and $700C$ and the reheater delivers steam at $1\mathrm{.}5$ MPa and $600C.$

Both turbines have an isentropic efficiency of $0\mathrm{.}95.$ The pumps can be considered ideal.

a$)$ Referring to the diagram below, draw and label the cycle and states on a T$-$s diagram.

b$)$ Calculate the thermal efficiency of the cycle.

c$)$ Calculate the thermal efficiency of a simple Rankine cycle operating between the same boiler

pressure and temperature and condenser pressure as the regenerative reheat Rankine cycle. Assume

a single turbine with an isentropic efficiency of $0\mathrm{.}95.$

d$)$ Determine the input power required for each pump of the regenerative reheat steam plant.

e$)$ If the heating value of coal is $25,000k\frac{J}{k}g$ and the boiler efficiency is $0\mathrm{.}90,$ determine the weight of

coal consumed in one year by the regenerative reheat steam plant.

f$)$ If $2\mathrm{.}4$ kg of $C{O}_2$ is produced per kg of coal combusted, how many cubic meters of $C{O}_2($at STP$)$ will

be released into the environment per year?