Gas Velocity Calculator

Formula

The formula to calculate the Gas Velocity (Vgas) is:

\[ \text{Vgas} = \sqrt{\frac{3RT}{M}} \]

Where:

\(\text{Vgas}\) is the root mean square velocity of the gas (m/s)
\(\text{R}\) is the gas constant (8.3145 J/K-mol)
\(\text{T}\) is the temperature (K)
\(\text{M}\) is the molar mass (kg/mol)

What is a Gas Velocity?

Gas velocity describes the average root mean square velocity of the particles of a gas that has a specific density and temperature. It is a measure of the speed at which gas molecules move within a system and is influenced by the temperature and molar mass of the gas.

Example Calculation

Let's assume the following values:

Temperature (T) = 300 K
Molar Mass (M) = 0.028 kg/mol (for nitrogen gas, N2)

Using the formula:

\[ \text{Vgas} = \sqrt{\frac{3 \times 8.3145 \times 300}{0.028}} \approx 516.96 \]

The Gas Velocity (Vgas) is approximately 516.96 m/s.