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Answer: At a certain temperature the speeds of six gaseous

Chapter 5, Problem 84P

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QUESTION:

At a certain temperature the speeds 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 the average speed of the molecules. These two average values are close to each other, but the root-mean-square value is always the larger of the two. Why?

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QUESTION:

At a certain temperature the speeds 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 the average speed of the molecules. These two average values are close to each other, but the root-mean-square value is always the larger of the two. Why?

ANSWER:

Step 1 of 5

Here, we are calculate the root- mean-square speed and the average speed of the molecules.

From the given data,

Speed of six different gaseous molecules are as follows.

  = 2.0 m/s ,  = 2.2 m/s ,  = 2.6 m/s,  = 2.7m/s,  = 3.3 m/s and  = 3.5 m/s.

 

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