Five gas molecules chosen at random are found | vedclass

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(B) The average speed $v_{av}$ is calculated as:$v_{av} = \frac{500 + 600 + 700 + 800 + 900}{5} = \frac{3500}{5} = 700 \ m/s$The root mean square spee

Vedclass · Accepted Answer

The root mean square speed is $14 \ m/s$ higher than the average speed.

Vedclass · Answer

(B) The average speed $v_{av}$ is calculated as:$v_{av} = \frac{500 + 600 + 700 + 800 + 900}{5} = \frac{3500}{5} = 700 \ m/s$The root mean square speed $v_{rms}$ is calculated as:$v_{rms} = \sqrt{\frac{500^2 + 600^2 + 700^2 + 800^2 + 900^2}{5}}$$v_{rms} = \sqrt{\frac{250000 + 360000 + 490000 + 640000 + 810000}{5}}$$v_{rms} = \sqrt{\frac{2550000}{5}} = \sqrt{510000} \approx 714.14 \ m/s$Rounding to the nearest integer,$v_{rms} \approx 714 \ m/s$.Thus,the root mean square speed is $714 - 700 = 14 \ m/s$ higher than the average speed.

Five gas molecules chosen at random are found to have speeds of $500, 600, 700, 800$ and $900 \ m/s$. Which of the following statements is correct?

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