Chapter 10 | 563
(a) This is the steam power plant discussed in Example 10–1, except that
the condenser pressure is lowered to 10 kPa. The thermal efficiency is
determined in a similar manner:
State 1:
State 2:
State 3:
State 4:
Thus,
and
Therefore, the thermal efficiency increases from 26.0 to 33.4 percent as a
result of lowering the condenser pressure from 75 to 10 kPa. At the same
time, however, the quality of the steam decreases from 88.6 to 81.3 percent
(in other words, the moisture content increases from 11.4 to 18.7 percent).
(b) States 1 and 2 remain the same in this case, and the enthalpies at
state 3 (3 MPa and 600°C) and state 4 (10 kPa and s 4 s 3 ) are deter-
mined to be
Thus,
and
hth 1
qout
qin
1
2188.5 kJ>kg
3488.0 kJ>kg
0.373 or 37.3%
qouth 4 h 1 2380.3191.812188.5 kJ>kg
qinh 3 h 2 3682.8194.833488.0 kJ>kg
h 4 2380.3 kJ>kg¬ 1 x 4 0.915 2
h 3 3682.8 kJ>kg
hth 1
qout
qin
1
1944.3 kJ>kg
2921.3 kJ>kg
0.334 or 33.4%
qouth 4 h 1 1 2136.1191.81 2 kJ>kg1944.3 kJ>kg
qinh 3 h 2 1 3116.1194.83 2 kJ>kg2921.3 kJ>kg
h 4 hfx 4 hfg191.810.8128 1 2392.1 2 2136.1 kJ>kg
x 4
s 4 sf
sfg
6.74500.6492
7.4996
0.8128
s 4 s 3
P 4 10 kPa¬ 1 sat. mixture 2
P 3 3 MPa
T 3 350°C
f¬
h 3 3116.1 kJ>kg
s 3 6.7450 kJ>kg#K
h 2 h 1 wpump,in 1 191.813.02 2 kJ>kg194.83 kJ>kg
3.02 kJ>kg
wpump,inv 11 P 2 P 12 1 0.00101 m^3 >kg 2313000 102 kPa4a
1 kJ
1 kPa#m^3
b
s 2 s 1
P 2 3 MPa
P 1 10 kPa
Sat. liquid
f¬
h 1 hf (^) @ (^) 10 kPa191.81 kJ>kg
v 1 vf (^) @ (^) 10 kPa 0.00101 m^3 >kg