ISA Temperature Calculator

Calculate temperature at different altitudes in the International Standard Atmosphere (ISA) model

Input Parameters

Calculation Results

ISA Temperature at Altitude

15.0 °C

Based on the International Standard Atmosphere (ISA) model:

Where:
T0 = Sea Level Temperature
L = Temperature lapse rate (6.5 °C/km)
h = Altitude

ISA Pressure at Altitude

1013.25 hPa

Based on the International Standard Atmosphere (ISA) model:

Where:
P0 = Sea Level Pressure
T0 = Sea Level Temperature
T = Temperature at altitude
M = Molar mass of dry air (28.9644 g/mol)
R = Universal gas constant (8.314 J/(mol·K))
g = Gravitational acceleration (9.80665 m/s²)

ISA Temperature Calculator Calculator Usage Guide

Learn how to use the ISA Temperature Calculator calculator and its working principles

How to Use the ISA Temperature Calculator

  1. Enter the sea level temperature (typically around 15°C for standard conditions)
  2. Enter the sea level pressure (typically 1013.25 hPa for standard conditions)
  3. Enter the altitude in meters for which you want to calculate the temperature
  4. Click the "Calculate" button to compute the temperature and pressure at the specified altitude

International Standard Atmosphere (ISA) Model

The International Standard Atmosphere (ISA) is a model that represents the average atmospheric conditions of the Earth. It assumes a linear temperature lapse rate of 6.5°C per kilometer above sea level.

Temperature Calculation Formula

The temperature at a given altitude in the ISA model is calculated as:

T = T₀ - L × h

Where:

  • T = Temperature at altitude (K)
  • T₀ = Sea level temperature (K)
  • L = Temperature lapse rate (6.5 °C/km or 0.0065 °C/m)
  • h = Altitude (m)

Pressure Calculation Formula

The pressure at a given altitude in the ISA model is calculated using the barometric formula:

P = P₀ × (T / T₀)^(-gM / (R×L))

Where:

  • P = Pressure at altitude (Pa)
  • P₀ = Sea level pressure (Pa)
  • T = Temperature at altitude (K)
  • T₀ = Sea level temperature (K)
  • g = Gravitational acceleration (9.80665 m/s²)
  • M = Molar mass of dry air (0.0289644 kg/mol)
  • R = Universal gas constant (8.314 J/(mol·K))
  • L = Temperature lapse rate (6.5 °C/km or 0.0065 °C/m)

Applications

This calculator is useful for:

  • Aerospace engineering and aviation
  • Weather forecasting
  • Altitude measurement calibration
  • Calculating air density for various applications