$($a$)$ Draw a Rankine cycle with one type feed water heater. Assume the condition of the steam before entering the turbine to be superheated. Sketch the cycle on T$.$S diagram.

$($b$)$ A steam power plant operates on a theoretical reheat cycle. Steam at $25$ bar pressure and $400$C is supplied to the high pressure turbine. After its expansion to dry state, the steam is reheated at constant pressure to its original temperature. Subsequent expansion occurs in the low pressure turbine to a condenser pressure of $0\mathrm{.}04$ bar. Considering feed pump work, Calculate:

$($i$)$ Quality of steam at entry to condenser

$($ii$)$ Thermal efficiency

$($iii$)$ Specific steam consumption.