Molecular Speeds Assignment Help
Molecular Speeds
There are three important kinds of molecular speedsMost 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 : 1.225It 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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