Kinetic Theory of Gas

Root Mean Square, Average, Median Velocity of Gas Calculator

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

c_{rms ,}c_{ave ,}c_m= Root Mean Square , Average Velocity ,& Most Probable Velocity of gas molecules ;

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

Collision Frequency of a single gas Calculator

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

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

c_ave=Average Velocity of the gas molecules;

Energy of Polyatomic Gas (Linear) Calculator

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

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

Energy of Polyatomic Gas (Non-Linear) Calculator

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

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

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