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Question

Steam flows through a nozzle at mass flow rate of ˙m=0.1kg/s with a heat loss of 5 kW. The enthalpies at inlet and exit are 2500 kJ/kg and 2350 kJ/kg, respectively. Assuming negligible velocity at inlet C10), the velocity (C2) of steam (in m/s) at the nozzle exit is (correct to two decimal places).

  1. 447.213

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Solution

The correct option is A 447.213
˙m=0.1kg/s,
˙Q=5kW(heatloss)
Applying SFEE

˙m(h1+12C21+gz1)+˙Q=˙m(h2+12C22+gz2)+˙Wcv

C1=0and˙Wcv=0

z1=z2(assume)
˙mh1+˙Q=˙mh2+˙m12C22
˙m×12C22=˙m(h1h2)+˙Q
0.1×12C22×103=0.1(2502350)5

C2=447.213m/s

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