Problem 2 (25 points): e. The inlet conditions of the Steam flows steadily throu

Question

Problem 2 (25 points): e. The inlet conditions of the Steam flows steadily through an adiabatic turbin steam are 1.2 MPa, 500 °C, 60 m/s, and 0.02 m P112 a and the pressure a exit are 100 kPa and 30 m/s, respectively. The power output is rout-4 MW . nd the velocity at the turbine 500 C Vi= 60 m/s A 0.02 m2 Determine (a) the mass flow rate of the steam; (b)the exit temperature of the STEAMM steam (including the change of the kinetic energy in your analysis); (c) the exit area of the turbine. P2-100 kPa V2 30 m/s

Explanation / Answer

(a) Flow rate = A x V = .02 x 60 = 1.2 m^3/s

(b) From gas equation

PV/T = constant

So

P1V1/T1 = P2V2/T2

T2 = P2V2T1 / P1V1

T2 = (100000 x 30 x (500 + 273.15)) / (1.2 x 10^6 x 60)

T2 = 32.2145833 K

(c) Bernaoulli's equation

A1V1 = A2V2

.02 x 60 = A2 x 30

A2 = ,04 m^2

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