Question

Steam enters a 10,000 kW turbine of an ideal Rankine cycle at 10 Bar and 360 degree Celsius and expands to 0.1 bar before entering a condenser. Determine

A. Mass Flow Rate(kg/hr)

B. Condenser heat transfer(kW)

C. Net Power(kW)

D. Efficiency

Answer 1

First of all list out all the properties form the steam table at given conditions

As in the question it is given that turbines capacity to produce power is 10000kw so we first calculate work done per unit mass and then to the mass flow rate.

After that for net power output pump work is also required which then is calculated .

Mass flow rate = 14.458kg/s

=0.2409 kg/hr

Please refer images for detailed solution.

1 (360°c) 3 B=0.1 Whimbine = 10,000 kw Boiler foressure = lo bar (360°c) = P1 Enden som fressure = 0.1 bar = Pz from Steam tables! at 10 bar , 368 '. hi = 277 6:2 Kullg Si= 6-583 kJ/kg-I at o'l bar. hg = hxp) = 191.8 / Eg Ss - Sf(p= 0.649.18/ty-k nogle) = 2392.9.8989, 89 (B) = 8.151 kadige vf CB) = 0. oblet, SG (R)= 7.502 kJ/egte Now S=52 60583 6947 = 5fps) + XzS fg (R) 6.583 = 8.649 +227.502 Pito

2 = 6583-0.649 7.502 X2=0.7909 M = haces the hfg (P2) | he = 191,8 +0.7409 x 2392-9. ha = 2084.5577 RJ l May now, Wterbine's hi ha = 47762 - 2084-5577 y perbine = 69106445/69 As the turbinex Capa eity to prodoce is gren as 10,000 kw. e mais flow late= Total Capacity to torbice m = 10,000 Bols 691564. $/kg m = 14.458 kg/5) Condensor heat transfer û gren by. Pendensen = in Chen heps) = 1***$${ = 14.458 (2084.5572 - 191-8) Qcondensor = 27.365 MW) Nowo,

how, net power an be given as, 'Wnet = Wesbine-Wpomp. Wpump = hfq-hf (ps) 3 - Veces (P1-Ps) = 0.001010(m? 1 kq) x (10-0. Uxlookal/m? 1 Wpump = zoo 0.999 .519 Wher = Webine - Upomp = 691-64-0.999. Wnet. = 890:64 K5/19 net power=mWnet to = 690.64 x 14.458 The power =9985-27 KW / and the officiency is given as, Magde = Wnet where, fy :Q,= hi-hf4 - 2776.2 - 84 hfu = 0.999 + hfle_) = 0.999+191.8. hf = 192.799 kJ/kg

3. Q = hi-hfa =1776.2 - 192.799. P1= 2583.401 19/kg Layde = 690.64 kb/ta 2583.401 13/kg | Muy dle = 0.267 26.76