Tags | |
The Temperature of Gaseous Particles calculator uses the root-mean-square speed equation to compute the temperature based on the molecular speed, molar mass and the ideal gas constant.
INSTRUCTIONS: Choose units and enter the following:
- (v) Molecular Speed
- (M) Molar mass
Temperature (T): The calculator returns the temperature in degrees Kelvin. 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
- R-Gas Constant with SI Units
The Math / Science
The Root-Mean-Square Speed formula for the molecular speed of gaseous particles is:
V=√3⋅R⋅TM
where:
- V is the molecular speed of gas particles
- T is the temperature with units of K
- M is molar mass in kilograms per mole (kg/mol)
- R is the ideal gas constant (8.314 kg*m2 / mol*K*s)
This calculator uses the above formula solved for temperature:
T = (M•V²)/(3•R)
Reference
Whitten, et al. "Chemistry" 10th Edition. Pp. 433
UCDavis ChemWiki: Connecting Gas Properties to Kinetic Theory of Gases
