Find an expression for the root mean square deviation of the speed ofmolecules in a gas from its...

Question

Find an expression for the root mean square deviation of the speed ofmolecules in a gas from its mean value, ?c = {c2 - c2}1/2.

Robert · Accepted Answer

The root mean square deviation of the speed of the gaseous molecules from its 
mean value is given by :-
  
 
Where X1 ,X2, ……………Xn are the average velocities of different particles 
present in the gas .
So we can write Xrms = (X
2
average )
1/2
We know that ,

Find an expression for the root mean square deviation of the speed of molecules in a gas from its mean value, ?c = {c2 - c2}1/2.

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