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A pump used to pressurize water in a steam power plant has a volume flow rate of

ID: 1862666 • Letter: A

Question

A pump used to pressurize water in a steam power plant has a volume flow rate of 0.1 m^3/sec at the inlet section. Properties across the pump are given in the figure. Assuming adiabatic process, the magitude of pumping power i (kJ/s) is?

The blank circle is supposed to say pump.

A pump used to pressurize water in a steam power plant has a volume flow rate of 0.1 m^3/sec at the inlet section. Properties across the pump are given in the figure. Assuming adiabatic process, the magnitude of pumping power i (kJ/s) is? The blank circle is supposed to say pump.

Explanation / Answer

We know that work done by pump per unit mass = specific volume at saturated water condition * difference between operating pressure

From steam table,

Specific volume at 10kPa = .001010 m^3/kg

Difference between pressures = 10000 kPa - 10kPa =9990kPa = 9990000 N/m^2

Work done by pump per unit mass = 10089.9 J/Kg


Now mass flow rate = volume flow rate * density

mass flow rate = 0.1*1000 =100 Kg/sec


Total work done by pump = 10089.9 * 100 = 1008990 J/sec =1008.99 KJ/sec =1008.99 W

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