Need step by step calculation with table no$...$Given that a steam power plant operates on a simple ideal Rankine cycle between the pressure limits of $12\mathrm{.}5$ MPa and $50$ kPa $.$ The steam temperature entering the turbine is measured to be about $\backslash (620^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ Solve the following questions.

a$)$ Sketch the T$-$s diagram of the cycle.

$(4$ marks$)$

b$)$ Determine the enthalpy for the four main processes of the cycle.

$(4$ marks$)$

c$)$ Determine the energy interaction for four main components of the cycle.

$(8$ marks$)$

d$)$ Determine the thermal efficiency of the cycle.

$(3$ marks$)$

e$)$ If the pressure in the heating additional stage is increased to $15$ MPa for the above same cycle with the turbine inlet temperature remains unchanged, calculate the cycle efficiency and discuss the side effect due to this pressure increment.

$(6$ marks$)$