At a certain temperature, the speed of six gaseous molecules in a container are 2.0 m/s, 2.2 m/s, 2.6 m/s, 2.7 m/s, 3.3 m/s, and 3.5 m/s. Calculate the root-mean-square speed and average speed of the molecules. These two average values are to each other, but the root-mean-square value is always the larger of the two. Why?

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Asked Jan 21, 2019
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At a certain temperature, the speed of six gaseous molecules in a container are 2.0 m/s, 2.2 m/s, 2.6 m/s, 2.7 m/s, 3.3 m/s, and 3.5 m/s. Calculate the root-mean-square speed and average speed of the molecules. These two average values are to each other, but the root-mean-square value is always the larger of the two. Why?

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Expert Answer

Step 1

Root mean square value is devired as square root of mean square or it is the sum of square of inidividual sample present in a distribution that are summated and divided by total number of sample.

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Step 2

Average value is the sum of all sample present in a distribution divided by total number of sample.

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Step 3

V rms can be calc...

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