Chapter 10 | 573
State 3:
State 4:
State 5:
State 6:
State 7:
The energy analysis of open feedwater heaters is identical to the energy
analysis of mixing chambers. The feedwater heaters are generally well insu-
lated (Q
.
0), and they do not involve any work interactions (W
.
0). By
neglecting the kinetic and potential energies of the streams, the energy bal-
ance reduces for a feedwater heater to
or
where yis the fraction of steam extracted from the turbine (m. 6 /m. 5 ). Solv-
ing for yand substituting the enthalpy values, we find
Thus,
and
hth 1
qout
qin
1
1486.9 kJ>kg
2769.1 kJ>kg
0.463 or 46.3%
1486.9 kJ>kg
qout 11 y 21 h 7 h 12 11 0.2270 21 2115.3191.81 2 kJ>kg
qinh 5 h 4 1 3583.1814.03 2 kJ>kg2769.1 kJ>kg
y
h 3 h 2
h 6 h 2
798.33193.01
2860.2193.01
0.2270
yh 6 11 y 2 h 2 11 h 32
E
#
inE
#
out^ S^ a
in
m
#
ha
out
m
#
h
h 7 hfx 7 hfg191.810.8041 1 2392.1 2 2115.3 kJ>kg
s 7 s 5 x 7
s 7 sf
sfg
6.67960.6492
7.4996
0.8041
P 7 10 kPa
P 6 1.2 MPa
s 6 s 5
f¬
h 6 2860.2 kJ>kg
1 T 6 218.4°C 2
P 5 15 MPa
T 5 600°C
f¬
h 5 3583.1 kJ>kg
s 5 6.6796 kJ>kg#K
h 4 h 3 wpump II,in 1 798.3315.70 2 kJ>kg814.03 kJ>kg
15.70 kJ>kg
1 0.001138 m^3 >kg 231 15,000 12002 kPa4a
1 kJ
1 kPa#m^3
b
wpump II,inv 31 P 4 P 32
s 4 s 3
P 4 15 MPa
P 3 1.2 MPa
Sat. liquid
f¬
v 3 vf (^) @ (^) 1.2 MPa0.001138 m^3 >kg
h 3 hf (^) @ (^) 1.2 MPa798.33 kJ>kg