$(1)30$ Points. $($Rankine Cycle$)$ Construct a model of a simple steam turbine cycle. Use a

turbine inlet pressure and temperature of $4$ MPa and $550^($@$)$C and a pump inlet pressure of $5$ kPa $.$

Assume isentropic efficiencies for the pump and turbine of $85\%$ and $90\%.$ Include stagnation

pressure losses of $8\%$ for each of the major heat exchange components$-$ economizer, steam

generator, superheater, and condenser$-$but neglect pressure losses in the interconnecting pipes.

Depict the cycle on a T$-$s diagram. Also draw saturation lines. Print out every state at the inlets

or outlets of major components. Print out the thermal efficiency, water$-$specific work $($work per

unit water flow in kg $),$ and the exit quality of the turbine.

$(2)30$ Points. $($Air$-$standard Brayton Cycle$)$ Construct an air$-$standard Brayton cycle model of a

simple$-$cycle gas turbine engine $($compressor$,$ turbine, and two heat exchangers$).$ Use a

compressor inlet pressure and temperature of $0\mathrm{.}1$ MPa and $300$ K and a compressor pressure ratio

of $15$:$1.$ Neglect pressure losses except for across the high temperature heat exchanger $($or

combustor$),$ where you use a $5\%$ loss of stagnation pressure there. Assume an allowable turbine

inlet temperature of $1500$ K and isentropic efficiencies for the compressor and turbine of $83\%$

and $88\%.$ Assume an engineering air $($ N$\_(2)$:O$\_(2)=79\%$:$21\%,$ mole$-$basis$).$

Depict the cycle on a T$-$s diagram. Print out every state at the inlets or outlets of major

components. Print out the thermal efficiency and air$-$specific work $($work per unit air flow in kg $).$

for your information, these problems are Matlab homework using cantera tool. Please write these code.