RMS Speed of Gas Molecules

📊 advanced

$$v_{rms} = \sqrt{\frac{3RT}{M}}$$

The square root of the average of the squares of molecular speeds.

Variables & Units

$M$

Molar Mass

Unit: $kg/mol$

Key Information

📐 Derived From

Kinetic theory pressure formula.

💡 Example

Calculating average speed of Oxygen at room temp.

🔧 Applications

Separation of isotopes.

⚠️ Constraints

Ideal gas behavior.

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