Problem $2$:

A simple gas turbine fitted with a recuperator having an effectiveness of $60\%.$ The surrounding

temperature is $35C,$ The temperature of the combustor exit is $840C,$ with components performance

given in the following table:

Find:

a$-$ the power output, efficiency and SFC of the gas turbine if air flows into the engine at $0\mathrm{.}25k\frac{g}{s}.$

b$-$ If the fuel cost is $3\mathrm{.}65S\frac{R}{k}g$ and the annual operation of the engine is $5000$ hrs $,$ what would be

the annual saving in fuel cost if the recuperator effectiveness is improved to $75\%?$

Note : Sketch all engines indicating the all states. Also State your assumptions.