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# Molecular Speeds Assignment Help

## Molecular Speeds

There are three important kinds of molecular speeds

### Most Probable Speed

urms = crms =

A much precise representation would be

urms = crms =

Also crms = = = , d is the density of the gas.

### Average Speed

It is the arithmetic mean of various speeds of the molecules

ua = Ca = Average speed =

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= 0.9213 × cRMS

RMS = 1.085 × cav

### Most Probable Speed

The speed possessed by maximum number of molecules of a gas at a given temperature is the most probable speed.

um = = × RMS

= 0.816 × CRMS

CRMS = 1.224 × CMPS

Hence Cm : Ca : Crms

= : : = 1 : 1.128 : 1.225

It is observed that molecular velocity of any gas is proportional to the square root of the absolute temperature. The molecular motion, is therefore, a thermal motion of the molecules. At absolute zero (i.e. T = 0) KE = 0. In other words thermal motion ceases completely at absolute zero.

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