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Physical Chemistry

Root-Mean-Square Speed Calculator

Compute Root-Mean-Square Speed using u_rms = √(3 R T / M).

u_rms = √(3 R T / M)

Run this calculator

Leave a nullable field blank to solve for it.

Input variable 'rt' for Root-Mean-Square Speed. Set one variable to null to solve for it.

Input variable 'm' for Root-Mean-Square Speed. Set one variable to null to solve for it.

Result variable 'u_rms' for Root-Mean-Square Speed. Set to null (or omit) to compute this value.

Formula

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

u_rms = √(3 R T / M)

Variable glossary

Rt (rt)

Input variable 'rt' for Root-Mean-Square Speed. Set one variable to null to solve for it.

M (m)

Input variable 'm' for Root-Mean-Square Speed. Set one variable to null to solve for it.

U Rms (u_rms)

Result variable 'u_rms' for Root-Mean-Square Speed. Set to null (or omit) to compute this value.

Worked example

Try these sample values to validate the setup, then replace inputs with your own conditions.

  • rt: 2
  • m: 3

Frequently Asked Questions

What does the Root-Mean-Square Speed calculator solve?

It solves Root-Mean-Square Speed problems in physical chemistry 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.