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Root-Mean-Square Molecular Speed Calculator — result sheet
Calculate the ideal-gas root-mean-square molecular speed from temperature and molar mass.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: vᵣₘₛ = √(3RT/M), with R = 8.314462618 J/(mol·K) and M converted to kg/mol.
The RMS speed is a statistical speed scale for molecules in an ideal gas. It is not the speed of every molecule and does not include bulk wind or flow velocity.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Absolute temperature — K; minimum 1.0E-6; maximum 1000000000
- Molar mass — g/mol; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Absolute temperature | 300 |
| Molar mass | 28.97 |
RMS molecular speed ≈ 508.5 m/s.
Assumptions and limits
- Temperature is absolute kelvin and molar mass is converted from grams per mole.
- The gas is treated with the ideal-gas kinetic model.
- Intermolecular forces, bulk flow, mixture composition, and non-equilibrium effects are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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