begin mathsize 28px style c subscript r m s end subscript equals square root of fraction numerator 3. R. T over denominator M end fraction end root space space space comma space c subscript a v e end subscript equals square root of fraction numerator 8. R. T over denominator pi. M end fraction end root space comma space c subscript m equals space square root of fraction numerator 2. R. T over denominator M end fraction end root end style

crms ,cave , cm  = Root Mean Square  , Average Velocity ,& Most Probable Velocity of gas molecules ;

M= Molecular Weight ; T =Temperature ; R= Universal Gas Constant ; 

begin mathsize 36px style Z subscript A A end subscript equals fraction numerator straight pi. straight n. straight sigma. straight c subscript ave over denominator square root of 2 end fraction end style

ZAA=Collision frequency ; n = Molecules per unit Volume; σ = Diameter of the gas molecules ;

cave=Average Velocity of the gas molecules; 

begin mathsize 36px style E equals 5 over 2 R T space plus space left parenthesis 3 n minus 5 right parenthesis R T end style

E = Average energy / mole ; n = Number of atoms in a lenear Molecule ; R= Gas Constant ; T= Temperature

begin mathsize 48px style E equals 3 left parenthesis n minus 1 right parenthesis R T end style

E = Average energy / mole ; n = Number of atoms in a non-lenear Molecule ; R= Gas Constant ; T= Temperature