Compressed Air Temperature Calculator

This calculator determines the temperature of compressed air based on initial temperature and pressure ratio using adiabatic compression principles.

Input Parameters

Must be greater than 1.01

For air at standard conditions, typically 1.4

Calculation Results

Calculation Formula

T₂ = T₁ × (P₂/P₁)^((γ-1)/γ)

Where:
T₂ = Final Temperature (°C)
T₁ = Initial Temperature (°C)
P₂/P₁ = Pressure Ratio
γ = Specific Heat Ratio (Cp/Cv)

Compressed Air Temperature Calculator Usage Guide

Learn how to use the Compressed Air Temperature Calculator and understand its working principles

How to Use This Calculator

  1. Enter the initial temperature of the air (usually room temperature, typically 20-25°C)
  2. Enter the pressure ratio (P₂/P₁), which is the final pressure divided by the initial pressure
  3. Enter the specific heat ratio (γ) for the gas (1.4 for air at standard conditions)
  4. Click the "Calculate" button to determine the final temperature
  5. The calculator will also show the temperature rise, which is the difference between final and initial temperatures

Working Principle

This calculator uses the adiabatic (isentropic) compression formula to calculate the final temperature of compressed air:

T₂ = T₁ × (P₂/P₁)^((γ-1)/γ)

Where:

  • T₂ = Final Temperature (°C)
  • T₁ = Initial Temperature (°C)
  • P₂/P₁ = Pressure Ratio (Final Pressure / Initial Pressure)
  • γ = Specific Heat Ratio (Cp/Cv) - the ratio of specific heat at constant pressure to specific heat at constant volume

Practical Applications

This calculator is useful in various industrial applications including:

  • Air compressors and compressor stations
  • HVAC and refrigeration systems
  • Industrial gas compression
  • Engine performance analysis
  • Understanding thermal dynamics in pneumatic systems

Note: This calculation assumes ideal conditions and does not account for heat transfer to the surroundings or other real-world factors that might affect actual compressed air temperature.