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Chapter 3: Problem 7

Which one of the following gases has the maximum value of root mean square velocity? (a) \(\mathrm{CH}_{4}\) (b) \(\mathrm{CO}_{2}\) (c) \(\mathrm{H}_{2}\) (d) \(\mathrm{CO}\)

Short Answer

Expert verified
The gas with the maximum root mean square velocity is \(\mathrm{H}_2\) as it has the smallest molar mass amongst the given gases.

Step by step solution

01

Determine the Molar Masses

We need to find the molar masses of the gases \(\mathrm{CH}_{4}\), \(\mathrm{CO}_{2}\), \(\mathrm{H}_{2}\), and \(\mathrm{CO}\). Molar mass can be calculated by adding up the atomic masses of each of the elements in the molecular formula.
02

Compare the Molar Masses

After calculating the molar masses, we then compare them. Remember, the gas with the lowest molar mass will have the highest root mean square velocity.
03

Identify the Gas with the Maximum Root Mean Square Velocity

Once the comparisons are done, we should be able to identify which one of the gases \(\mathrm{CH}_{4}\), \(\mathrm{CO}_{2}\), \(\mathrm{H}_{2}\), and \(\mathrm{CO}\) has the maximum root mean square velocity based on the inverse relationship between root mean square velocity and molar mass.

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Most popular questions from this chapter

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