Question

The speed of nitrogen molecules in the atmosphere (at 20ºC) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second.This information best supports which conclusion?

A. 84% of the molecules have speeds between 450 meters/second and 550 meters/second.
B. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.
C. 50% of the molecules have speeds between 450 meters/second and 550 meters/second.
D. 34% of the molecules have speeds greater than 550 meters/second.

Answer 1

This information best supports the conclusion that 68% of the molecules have speeds between 450 meters/second and 550 meters/second. The answer to your question is B. I hope this is the answer that you are looking for and it comes to your help.

Answer 2

68% of the molecules have speeds between 450 meters/second and 550 meters/second is correct option.

How speed of the gases are calculated?

Nitrogen's rms speed will be (4 / 28) = 0.378 of helium's rms speed, yielding a speed of 0.378 1370 m s–1 = 517 m s–1. Now the factor is (4 / 44) = 0.301, resulting in a speed of 0.301 1370 m s–1 = 413 m s–1.

This data best supports the hypothesis that 68 percent of the molecules travel at speeds of 450 to 550 meters per second. B is the solution to your query.

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