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Gas Laws

Root Mean Square Velocity Calculator

Calculate the root mean square velocity of gas particles.

v_rms = sqrt((3RT)/M)

Run this calculator

Leave a nullable field blank to solve for it.

Temperature in Kelvin (K).

Molar mass of the gas in kg/mol.

Universal gas constant, default is 8.314 J/(mol·K).

Formula

This calculator uses the equation below. Use it as a quick reference when checking setup before solving.

v_rms = sqrt((3RT)/M)

Variable glossary

T (T)

Temperature in Kelvin (K).

M (M)

Molar mass of the gas in kg/mol.

R (R)

Universal gas constant, default is 8.314 J/(mol·K).

Frequently Asked Questions

What does the Root Mean Square Velocity calculator solve?

It solves Root Mean Square Velocity problems in gas laws using your provided inputs and computes unknown values when nullable fields are left blank.

Do I need to convert units before using this tool?

Use the unit toggles where available (for example K/C and L/mL). ChemGenius converts values to the calculator's base units automatically before solving.

Can I save this result in my workflow?

Yes. After computing a result, you can continue into ChemGenius workflows like protocol drafting or notes to keep your calculation context attached to downstream work.