Question #120498

Heat supplied to raise steam in the boiler is 3000 KJ/kg while heat rejected by the system to

the cooling water in the condenser is 2000 KJ/kg. The turbine develops power of 1500 KW and

the work required to pump the condensate back into the boiler is 50 KW. Find the steam mass

flow rate.

Expert's answer

Solution.

Qb=3000KJ/kg;Q_b=3000KJ/kg;

Qc=2000KJ/kg;Q_c=2000KJ/kg;

Wt=1500KW;W_t=1500KW;

Wp=50KW;W_p=50KW;

Q=QbQc;Q=Q_b-Q_c;

Q=3000KJ/kg2000KJ/kg=1000KJ/kg;Q=3000KJ/kg-2000KJ/kg=1000KJ/kg;

W=WtWp;W=W_t-W_p;

W=1500KW50KW=1450KW;W=1500KW-50KW=1450KW;

WQ=1450KW1000KJ/kg=1.45kg/s;\dfrac{W}{Q}=\dfrac{1450KW}{1000KJ/kg}=1.45kg/s;

Answer:WQ=1.45kg/s.\dfrac{W}{Q}=1.45kg/s.



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