A pump accepts liquid water at 60 F and 14 psia and compresses it isothermally t

Question

A pump accepts liquid water at 60 F and 14 psia and compresses it isothermally to a pressure of 100 psia. The pump has a constant volumetric flow rate of 100 ft^3/min and may be assumed to be adiabatic. Using the 1st Law for SSSF system and neglecting potential and kinetic energy of the water, a) determine the input power of the pump (hp), b) the diameter of inlet/outlet ports such that the fluid speed will be 10 ft/s (inches).

A pump accepts liquid water at 60 ½F and 14 psia and compresses it isothermally to a pressure of 100 psia. The pump has a constant volumetric flow rate of 100 ft^3/min and may be assumed to be adiabatic. Using the 1st Law for SSSF system and neglecting potential and kinetic energy of the water, a) determine the input power of the pump (hp), b) the diameter of inlet/outlet ports such that the fluid speed will be 10 ft/s (inches).

Explanation / Answer

Now change in pressure Head=(P2-P1)/(rho*g)

Work done by pump=(mass flow rate)*g*h

=m*(P2-P1)/(rho)

=V*(P2-P1)

=(100/60)*(86)

=37.35 hp ans

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