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# RMS Speed Calculator Online

The RMS Speed Calculator computes the root mean square speed of gas molecules based on the given temperature and the mass of a single gas molecule. It simplifies the complex calculations involved in determining the average speed of gas molecules, providing accurate and quick results. This calculator is useful for students, researchers, and professionals who need to understand the dynamics of gases.

## Formula of RMS Speed Calculator

The root mean square (RMS) speed of gas molecules can be calculated using the following formula:

Where:

• v_rms is the root mean square speed
• k is the Boltzmann constant (1.38 × 10^-23 J/K)
• T is the temperature in Kelvin
• m is the mass of a single gas molecule

This formula is derived from the kinetic theory of gases, which states that the average kinetic energy of gas molecules is directly proportional to the temperature of the gas.

## General Terms and Conversion Table

Below is a table of common terms and conversions that are useful when working with the RMS Speed Calculator:

## Example of RMS Speed Calculator

Let's calculate the RMS speed of nitrogen gas (N2) molecules at room temperature (25°C).

1. Convert temperature to Kelvin: T = 25 + 273.15 = 298.15 K
2. Mass of one N2 molecule: m = 4.65 × 10^-26 kg
3. Using the RMS speed formula: v_rms = √(3 * 1.38 × 10^-23 * 298.15 / 4.65 × 10^-26)
4. Calculate the value: v_rms ≈ 517 m/s