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Sphw7b - HOMEWORK SET 7b 9.44 A small pump is driven by a 2...

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HOMEWORK SET 7b 9.44 A small pump is driven by a 2 kW motor with liquid water at 150 kPa, 10 ° C entering. Find the maximum water flow rate you can get with an exit pressure of 1 MPa and negligible kinetic energies. The exit flow goes through a small hole in a spray nozzle out to the atmosphere at 100 kPa. Find the spray velocity. Solution: C.V. Pump. Liquid water is incompressible so work from Eq.9.15 W . = m . w = -m . v(P e - P i ) m . = W . / [-v(P e - P i ) ] = -2/[-0.001003 ( 1000 – 150) ] = 2.35 kg/s C.V Nozzle. No work, no heat transfer, v constant => Bernoulli Eq.9.16 1 2 V 2 ex = v Δ P = 0.001 ( 1000 – 100) = 0.9 kJ/kg = 900 J/kg V ex = 2 × 900 J/kg = 42.4 m s -1 9.62 A condenser in a power plant receives 5 kg/s steam at 15 kPa, quality 90% and rejects the heat to cooling water with an average temperature of 17 ° C. Find the power given to the cooling water in this constant pressure process and the total rate of enropy generation when condenser exit is saturated liquid. Solution: C.V. Condenser. Steady state with no shaft work term. Energy Eq.6.12: m .
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