Problem #$3$: $(26$ Points$)20\mathrm{.}5$

Consider an ideal combined reheat and regenerative cycle consisting of a High pressure turbine $($HPT$)$ and a low$-$pressure turbine $($LPT$)$ in which steam enters the high$-$pressure turbine at $3\mathrm{.}0$MPa,$400C,$ and is extracted to an open type feed water heater $($FWH$)$ at $0\mathrm{.}8$ MPa with exit from the FWH as saturated liquid. The remainder of the steam is reheated to $400C$ at the same pressure $(0\mathrm{.}8$ MPa $),$ and then fed to the LPT$.$ If the cond. pressure is $10$ kPa

a$)$ Draw a box diagram of the cycle, $(2$ Points$)$

b$)$ Sketch the cycle on T$-$S diagram. $(2$ Points$)$

c$)$ Calculate the net work per kilogram of steam. $(6$ Points$)$

d$)$ Calculate the thermal efficiency of the cycle. $(10$ Points$)$

e$)$ Does this steam cycle works as a Carnot cycle? Why? $(2$ Points$)$

f$)$ If the steam Generator has an efficiency of $0,9$ and consumes $35k\frac{g}{s}$ of coal with a H$.$V$.$ of $28000k\frac{J}{k}g$; find the steaming capacity of the steam generator. $(4$ Points$)$