Enter the initial temperature, pressure, and volume, and the final pressure and volume into the calculator to determine the compressed air temperature.

## Compressed Air Temperature Formula

The following equation is used to calculate the Compressed Air Temperature.

T2 = P1*V1*T1 / (P2*V2)

• Where T2 is the temperature of the compressed air
• P1,V1, and T1 are the initial pressure, volume, and temperature respectively
• P2 and V2 are the pressure and volume of the air after compression.

This formula assumes an ideal gas, which air is technically not.

## What is a Compressed Air Temperature?

Definition:

A compressed air temperature is the temperature of a body of air after it has been compressed to a different volume and temperature.

## How to Calculate Compressed Air Temperature?

Example Problem:

The following example outlines the steps and information needed to calculate Compressed Air Temperature.

First, determine the initial temperature, pressure, and volume. In this example, these are 10 C , 5 atm, and 10ft^3 respectively.

Next, determine the final pressure and volume. These are measured to be 5 atm and 8ft^3, respectively.

Finally, calculate the compressed air temperature using the formula above:

T2 = P1*V1*T1 / (P2*V2)

T2 = 10*5*10/ (5*8)

T2 = 12.5 C