A pump is supplying a plant with water 300 ft above it. The pump needs to be running with a pressure of 200 psi after supplying the water to the 300 ft level. What will be the discharge pressure at the pump?

To find the discharge pressure at the pump, you need to account for the pressure required to lift the water to a height of 300 feet plus the additional pressure of 200 psi that is needed after the water has been delivered to that height.

First, it’s essential to convert the height into pressure. The pressure exerted by a column of water can be calculated using the formula:

[

\text{Pressure (psi)} = \text{Height (ft)} \times 0.433

]

This constant (0.433 psi/ft) is derived from the density of water and the acceleration due to gravity. For a height of 300 feet, the calculation would go as follows:

[

\text{Pressure from height} = 300 , \text{ft} \times 0.433 , \frac{\text{psi}}{\text{ft}} = 129.9 , \text{psi}

]

This value can be rounded to approximately 130 psi.

Next, to find the total discharge pressure at the pump, you need to add the pressure required after the water has reached the height:

[

\text{Total Discharge Pressure} = \text{Pressure