### Horsepower Required to Compress Air Equation and Calculator

**Fluid Flow Table of Contents**

Hydraulic and Pneumatic Knowledge

*Horsepower Required to Compress Air Equations and Calculator *

The following calculator and equations gives data for the theorectical horsepower required to compress air from atmospheric pressure to various pressure - to mean effective pressures.

Related:

*Horsepower Required to Compress Air Table Chart*

Horsepower required to compress one cubic foot of free air per minute (isothermally and adiabatically) from atmospheric pressure (14.7 pounds per square inch) to various gage pressures. Single-Stage Compression, initial temperature of air, 60°F, jacket cooling not considered.

Adiabatically

The equation for calculating the horsepower required to compress isothermally a given volume of free air to a given pressure:

Isothermally

Where:

HP = Horsepower (ft-lb/sec) Adiabatic and Isothermally

N = number of stages in which compression is accomplished

P = atmospheric pressure in pounds per square inch

P_{2} = absolute terminal pressure in pounds per square inch

P_{2} = G_{p} + P in pounds per square inch

G_{p} = Gauge Pressure in pounds per square inch

V = volume of air, in cubic feet, compressed per minute, at atmospheric pressure

n = exponent of the compression curve = 1.41 for adiabatic compression