Question

1. A pump steadily delivers 13.7 kg/s of water at the conditions given below. Calculate the...

1. A pump steadily delivers 13.7 kg/s of water at the conditions given below. Calculate the pump power (hp).

There is no heat transfer from the pump to the surroundings (i.e., adiabatic conditions).

Pump Inlet Temperature = 20oC

Pump Inlet Pressure = 182 kPa

Pump Inlet Diameter = 11.1 cm

Pump Inlet Elevation = 20 m

Pump Exit Temperature = 20oC

Pump Exit Pressure = 601 kPa

Pump Exit Diameter = 7.8 cm

Pump Exit Elevation = 20 m

Answer is -7.77 hp

2. A pump steadily delivers 19.1 kg/s of water at the conditions given below. Calculate the pump power (kW).

There is no heat transfer from the pump to the surroundings (i.e., adiabatic conditions).

Pump Inlet Temperature = 20oC

Pump Inlet Pressure = 141 kPa

Pump Inlet Diameter = 12.4 cm

Pump Inlet Elevation = 22.1 m

Pump Exit Temperature = 20oC

Pump Exit Pressure = 463 kPa

Pump Exit Diameter = 5.2 cm

Pump Exit Elevation = 46.2 m

Answer is -11.43 kw

3.

A proposed water tank on the sixth floor (roof top) of the UTPA administration building would be used to supply pressurized water for the campus. A pump fills the tank at a rate of 13.4 kg/s. What size motor (hp) is needed to operate the pump given the data below?

The motor size (hp) must be 20% greater than the required pump work.

Note: Give the motor size as a positive value.

The pump includes the riser pipe to the tank.

There is no heat transfer from the pump to the surroundings (i.e., adiabatic conditions).

Pump Inlet Temperature = 20oC

Pump Inlet Pressure = 188 kPa

Pump Inlet Diameter = 12.8 cm

Pump Inlet Elevation = 22.8 m

Pump Exit Temperature = 20oC

Pump Exit Pressure = 287 kPa

Pump Exit Diameter = 3.1 cm

Pump Exit Elevation = 44.7 m

Answer is 10.17

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