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RMS Speed of Gas Molecules Calculator

💨 Gas Laws & Fluids. Use the RMS speed of gas molecules formula to find rms speed, temperature, molar mass: pick the value you want, type the others, and the answer updates as you go.

vrms=3RTMv_{rms} = \sqrt{\dfrac{3RT}{M}}
RMS speed515.24 m/s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
RMS speedm/s
TemperatureK
Molar massg/mol

Worked example

Find the rms speed when Temperature = 298 K, Molar mass = 28 g/mol.

Using vrms = √(3RT/M): RMS speed = 515.24 m/s.

Frequently asked questions

What is the formula for RMS speed of gas molecules?

vrms = √(3RT/M).

What do the letters stand for, and what units are used?

RMS speed in m/s, Temperature in K, Molar mass in g/mol.

How do you calculate rms speed?

Put the values into vrms = √(3RT/M). For example, with Temperature = 298 K, Molar mass = 28 g/mol, rms speed = 515.24 m/s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (rms speed, temperature, molar mass) and fill in the others: it rearranges the formula for you.

All chemistry formulas in the Chemistry Formulas See it in the Chemistry Lab simulationSee it in the Molecule Builder simulation