Question

Asked Jan 21, 2020

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If three molecules have velocities 0.5,1,2km/s respectively, calculate the ratio of the root mean square speed and average speed.

Step 1

Let the velocities of the three molecules be denoted as *v*_{1}, *v*_{2} and *v*_{3}.

Let the root mean square velocity of the three molecules be denoted as *v*_{rms }and the average velocity of the three molecules be denoted as *v*_{av.}

The root mean square speed is calculated as,

Step 2

Substitute 0.5 km/s for *v*_{1}, 1 km/s for *v*_{2} and 2 km/s for *v*_{3 }and solve for *v*_{rms }as.

Step 3

The average speed is ...

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