# The Speed of Sound Calculator for Ideal Gases

The Speed of Sound Calculator for Ideal Gases is an online tool designed to calculate the speed of sound in an ideal gas based on the provided parameters.

This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/2343/. Also, please do not modify any references to the original work (if any) contained in this content.

The speed of sound in an ideal gas can be determined using the following equation:

,

where V_{s} - speed of sound, R - universal gas constant (8.314 J/(mol K)), T - absolute temperature (in Kelvin), M - molecular mass of the gas (in kg/mol), γ - adiabatic constant of the gas.

By inputting the values of the adiabatic constant, molecular mass, and temperature into the calculator, you can quickly obtain the corresponding speed of sound in the ideal gas.

The default values for the adiabatic constant (1.4) and molecular mass (28.95) are set for dry air. However, you can easily adjust these values to calculate the speed of sound for other gases by selecting the appropriate adiabatic constant and providing the molecular mass.

A monoatomic ideal gas typically has an adiabatic constant of 5/3, while a diatomic gas like nitrogen or oxygen has an adiabatic constant of 7/5. For gases with three-atom molecules, the adiabatic constant is 4/3.

To illustrate, if we consider helium with an adiabatic constant of 5/3 and a molecular mass of 4 g/mol, the calculator reveals that the speed of sound in helium at 20°C is approximately 1007 m/s. This explains why voices sound peculiar or comical when helium is inhaled.

#### Similar calculators

- • Sound Doppler Shift Calculator
- • Clapeyron-Mendeleev equation. The relationship between the number of moles of gas, the temperature, volume and pressure.
- • Convert grams to liters and liters to grams
- • Gas concentration from ppm to mg/m³ and vice versa
- • Molar volume
- • Physics section ( 54 calculators )

**

**PLANETCALC, The Speed of Sound Calculator for Ideal Gases

## Comments