7.4 A complex Brayton-cycle power plant using intercooling, reheat, and regeneration is analyzed using the air standard...

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Mechanical Engineering

7.4 A complex Brayton-cycle power plant usingintercooling, reheat, and regeneration is analyzed using the airstandard method. Air is compressed from State 1 to State 2 using acompressor with a pressure ratio of RP1. An intercooler is used tocool the air to State 3 before entering a second compressor with apressure ratio of RP2. The compressed air exits at State 4 and ispreheated in a regenerator that uses the exhaust air from thelow-pressure turbine. The preheated air enters the combustor atState 5 and is heated to State 6 where it enters the high-pressureturbine. The air exits the turbine at State 7 and is heated in areheat combustor to State 8. The air expands in a low-pressureturbine to State 9 where it enters the counterflow regenerator withthe effectiveness of RE. Given the specified operating conditionsdetermine the efficiency and other values listedbelow.

--Given Values--

T1 &T3 (K) = 303

P1 (kPa) = 186

rp1 = 2.7

rp2 = 4.4

Eff (%) = 92

T6 & T8 (K) = 1300

P7 (kPa) = 906

a) Determine the specific enthalpy (kJ/kg) at state 1.

b) Determine the relative pressure at state 1.

c) Determine the relative pressure at state 2.

e) Determine the pressure (kPa) at state 2.

f) Determine the specific enthalpy (kJ/kg) at state 2.

g) Determine the pressure (kPa) at state 3.

h) Determine the specific enthalpy (kJ/kg) at state 3.

i) Determine the relative pressure at state 3.

j) Determine the relative pressure at state 4.

k) Determine the temperature (K) at state 4

l) Determine the pressure (kPa) at state 4.

m) Determine the specific enthalpy (kJ/kg) at state 4.

n) Determine the specific enthalpy (kJ/kg) at state 5.

o) Determine the specific enthalpy (kJ/kg) at state 6.

p) Determine the relative pressure at state 6.

q) Determine the relative pressure at state 7.

r) Determine the temperature (K) at state 7.

s) Determine the specific enthalpy (kJ/kg) at state 7.

t) Determine the specific enthalpy (kJ/kg) at state 8.

u) Determine the relative pressure at state 8.

v) Determine the relative pressure at state 9.

w) Determine the specific enthalpy (kJ/kg) at state 9.

x) Determine the net work per unit mass (kJ/kg) through thepower plant.

y) Determine the heat addition per unit mass (kJ/kg) through thepower plant.

z) Determine the efficiency () of the power plant.

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