592 ENGINEERING THERMODYNAMICSdharm
\M-therm\Th12-4.pm560 bar, 450°C
1kg^12 ¢
BoilerTurbine3barmkg5 5Feed
heaterPump Pump4
4 Out
CondenserIn
Water3 ¢0.07 bar
(1–m) kgAlternatorüýþ3- supplyf( ) Schematic arrangement of the steam power plantasT60 bar1 (60 bar, 450°C)2 ¢2
3 3 ¢5
4( )bT-sdiagram (Neglecting pump work)shh 3 ¢
h 3h 2 ¢
h 2h 1 160 bar3 bar0.07 bar
Sat
.cur
3 ¢ ve
322 ¢( )ch-sdiagram2 ¢Fig. 12.38
∴ h 3 = 2165 kJ/kg
Again, ηturbine = 0.87 =hh
hh23
23′− ′
′− or 0.87 =2697
2697 2165−′ 3
−h∴ h 3 ′ = 2234 kJ/kg
From steam tables, corresponding to pressures 3 bar and 0.02 bar, the saturated liquid heats
at points 4 and 5 are :
hf 4 = 163.4 kJ/kg ; hf 5 = 561.4 kJ/kg.
(i) The steam bled per kg of steam supplied to the turbine, m :
Considering the energy balance for feed heater we have ;
m(h 2 ′ – hf 5 ) = (1 – m) (hf 5 – hf 4 )
or m(2697 – 561.4) = (1 – m) (561.4 – 163.4)
or 2135.6 m = 398 (1 – m)
∴ m = 0.157 kJ/kg of steam generated. (Ans.)