What is one standard atmosphere at 14.7 psi equivalent to in feet of water?

One standard atmosphere, defined as 14.7 psi, is equivalent to a specific height of water due to the relationship between pressure and the height of a liquid column. The conversion between psi and feet of water is rooted in the density of water and the influence of gravity.

To determine the height of a water column corresponding to 14.7 psi, one can use the formula that relates pressure, height, and density:

[ \text{Pressure (psi)} = \text{Height (ft)} \times \text{Density of water (lb/ft}^3) \times \text{Gravity (ft/s}^2) ]

For water at standard conditions, the density is approximately 62.4 lb/ft³. The gravitational force acts as a constant 32.2 ft/s². Converting psi to feet of water can therefore be calculated with the necessary constants.

Using given values and performing the calculation:

1 psi is roughly equal to 2.31 feet of water. Thus:

14.7 psi x 2.31 feet/psi ≈ 33.93 feet of water

This rounds up to approximately 34 feet. Hence, 14.7 psi is equivalent to about