1.Water is the working fluid in a vapor power cycle. The pressure and temperatur

Question

1.Water is the working fluid in a vapor power cycle. The pressure and temperature at the turbine inlet are 1600 psia and 1100 oF, respectively, and the condenser pressure is 1 psia. The mass flow rate of steam entering the turbine is 1.4 x 106 lb/h. The cooling water in the condenser experiences a temperature increase from 60 oF to 80oF, with negligible pressure drop. The turbine and pump have isentropic efficiencies of 88%. For the cycle, determine:

(a) the net power developed, in hp.

(b) the rate of heat transfer to the working fluid passing through the steam generator, in Btu/h.

(c) the thermal efficiency of the cycle.

(d) the volumetric flow rate of cooling water entering the condenser, in ft3/min.

Explanation / Answer

AT p1=1600 psi and t1= 1100 degree F

h1=3613.9 kj/kg

s1=6.848 kj/kg-k

at 1 psi

s2=s1=6.848=sf+xsfg=0.551+x*7.722

x=0.8154

h2=hf+x*hfg=162.4+0.8154*2410.2=2127.82 kj/kg

h3=hf(at 1psi)=162.4kj/kg

v3=vf=0.0010068m^3/kg

Wp=v3*(p2-p1)=h4-h3

11.099=h4-162.4

h4=173.49 kj/kg

mf=1.4*10^6lb/h=176kg/s

a)power=176(h1-h2)=262140.11 kj/s=351394.26hp

b)Q=176(h1-h4)=605512 kj/s=159.41 btu/h

c)efficiency=(h1-h2)-(h4-h3)/(h1-h4)=42.47%

d)volum flow rate=mf*v2

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