The root-mean-square speed (thermal speed) of a certain sample of carbon dioxide molecules, with a molecular weight of 44 g/mol, is 396 m/s. What is the root-mean-square speed (thermal speed) of water vapor molecules, with a molecular weight of 18 g/mol, at the same temperature?

620 m/s

Explanation:

The root-mean-square speed () of a gas can be calculated using the following expression.

where,

R: ideal gas constant

T: absolute temperature

M: molar mass

We can use the data of carbon dioxide to find the temperature.

Now that we know the temperature, we can calculate the root-mean-square speed of water vapor molecules.

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explanation:  

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