Thermal Velocity Calculator

Thermal Velocity Calculator calculator can be used to calculate the thermal velocity of a gas molecule based on its molar mass and temperature.

Input Parameters

Calculation Results

Calculation Formula

v = sqrt(3RT/M)

Where:
v = Thermal velocity (m/s)
R = Universal gas constant (8.314 J/(mol·K))
T = Temperature (K)
M = Molar mass (kg/mol)

Thermal Velocity Calculator Calculator Usage Guide

Learn how to use the Thermal Velocity Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the molar mass of the gas in grams per mole (g/mol).
  2. Enter the temperature of the gas in Kelvin (K).
  3. Click the "Calculate" button to compute the thermal velocity.
  4. The result will be displayed in meters per second (m/s).

Working Principle

The thermal velocity (or root mean square velocity) of gas molecules is given by the formula:

v = sqrt(3RT/M)

where:

  • v is the thermal velocity in meters per second (m/s).
  • R is the universal gas constant, approximately 8.314 J/(mol·K).
  • T is the temperature in Kelvin (K).
  • M is the molar mass in kilograms per mole (kg/mol).

This calculator uses the ideal gas law and kinetic theory of gases to compute the thermal velocity.