Find r. m. S. velocity of three molecules having velocities 10 km/s,20 km/s, 30 km/s.
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Topic
RMS Velocity
Given
Velocity of three molecules are 10km/s, 20km/s and 30km/s.
To Find
RMS of given three molecules
Solving
Square Given Velocities
10² = 100
20² = 400
30² = 900
Take Mean of these three Numbers
Mean = ( 100 + 400 + 900) / 3
Mean = 1400 / 3
Now, take root of obtained number
Root of 1400 / 3 is
√( 1400 / 3 )
21.60
Answer
So, the RMS Velocity of given three molecules is 21.60 km/s.
Learn More
Root Mean Square ( RMS ) Velocity
It is a velocity which gives us central or average of the molecule's speed. It is used, as net velocity of all molecules is taken as zero due to their randomness.
We solve it by going just opposite of its name, first we square numbers then take mean of obtained numbers and finally we take root of the obtained mean.
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