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The Molecular Speed of Gaseous Particles calculator uses the root-mean-square speed equation to compute the molecular speed based on the temperature, molar mass and the ideal gas constant.
INSTRUCTIONS: Choose units and enter the following:
- (T) Temperature of the gas
- (M) Molar mass
Molecular Speed (U): The calculator returns the speed in meters per second. However, this can be automatically converted to compatible units via the pull-down menu.
Related Calculators
- Compute the Temperature of gas based on the Root-Mean-Square formula
- Compute the molecular speed of a gas based on the Root-Mean-Square formula
- Maxwell Molecular Speed
- R-Gas Constant with SI Units
The Math / Science
The Root-Mean-Square Speed formula for the molecular speed of gaseous particles is:
`U =sqrt((3·R·T)/M)`
where:
- U is the molecular speed of gas particles
- T is the temperature
- M is molar mass
- R is the ideal gas constant (8.314 kg*m2 / mol*K*s)
The formula will calculate the molecular speed with units of meters per second (m/s).
Description
This formula demonstrates how molar mass and temperature affect the speed of a molecule. As the temperature is increased, the speed of the molecule increases, thus the root-mean-square speed increases.
Reference
Whitten, et al. "Chemistry" 10th Edition. Pp. 433
UCDavis ChemWiki: Connecting Gas Properties to Kinetic Theory of Gases
Raymond A. Serway, Jerry S. Faughn, and Chris Vuille (2011). College Physics, Volume 1 (9th ed.). 9780840068484. p. 352.
