A pump displaces 350 psi. The line pressure at the plant discharge is 100 psi. How much higher is the plant above the pump?

To determine how much higher the plant is above the pump, you need to understand the relationship between pressure and elevation in a fluid system. The pressure at the pump is given as 350 psi, and at the plant discharge, it is 100 psi. The difference in pressure between the pump and the plant can be calculated as follows:

1. Subtract the discharge pressure from the pump pressure:

350 psi - 100 psi = 250 psi.

Next, you can use the formula that relates pressure to height in a fluid system:

Height (in feet) = (Pressure difference in psi * 2.31) / Specific Weight of the Fluid.

Assuming the fluid is water (with a specific weight of approximately 62.4 lb/ft³), you can see how the conversion factor 2.31 emerges from the properties of water.

By applying the pressure difference to the formula:

250 psi * 2.31 = 577.5 feet.

Since height should be rounded to the nearest whole number, this rounds to 577 feet, confirming that the plant is approximately 577 feet higher than the pump.

This calculation illustrates the hydraulic principle of how pressure differences relate to differences in elevation in a fluid system, leading to