* Kinetic Molecular Theory: The average speed of gas molecules is directly related to their temperature. Higher temperatures mean faster moving molecules.
* Root Mean Square Speed: The most common way to express average speed for gases is the root mean square speed (vrms). It's calculated using this equation:
vrms = √(3RT/M)
Where:
* R is the ideal gas constant (8.314 J/mol·K)
* T is the temperature in Kelvin
* M is the molar mass of the gas (for H2, it's 2.016 g/mol)
Example:
Let's say the temperature is 298 K (room temperature). Plugging into the equation:
vrms = √(3 * 8.314 J/mol·K * 298 K / 0.002016 kg/mol) ≈ 1929 m/s
Conclusion:
The average speed of hydrogen molecules at room temperature is approximately 1929 m/s. But this speed will change significantly if the temperature changes.
