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Question

The power developed by a turbine in a certain steam power plant is 1206 kW. The heat supplied to the boiler is 3500 kJ/kg. The heat rejected by steam to cooling water is 2900 kJ/kg. The feed pump work required to condensate back into the boiler is 6 kW. What will be mass flow rate of cycle?

A.

0.00622 kg/s

B.

2 kg/s  

C.

6.22 kg/s        

D.

0.002 kg/s 

Answer ( Option B)

2 kg/s  

Solution

Given :

Power developed  (Wturbine)= 1206 kW

Feed pump work required (Wpump)= 6 kW

Heat supplied  (Qspply)= 3500 kJ/kg

Heat rejected  (Qrejected)= 2900 kJ/kg

We know that

Wnet = (Qspply Qrejected) X m

(Wturbine -Wpump) =  (Qspply - Qrejected) X m

1206-6 = (3500-2900) × m

            m =   kg/s

Hence, the correct option is (B).


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