Kinetic Energy of a Gas( i) Average kinetic energy of translation per molecule of a gas is given by E =( 3 / 2) kt where k = Boltzmann’ s constant.( ii) Average kinetic energy of translation per mole of a gas is given by E =( 3 / 2) Rt where R = universal gas constant.
( iii) For a given gas kinetic energy E ∝ T ⇒ E1 / E2 = T1 / T2
( iv) Root mean square( rms) velocity of the gas molecules is given by( v) For a given gas c ∝ √T( vi) For different gases c ∝1 / √M( vii) Boltzmann’ s constant k = R / N where R is ideal gas constant and N = Avogadro number. Value of Boltzmann’ s constant is 1.38 x 10-28 J / K.( viii) The average speed of molecules of a gas is given by( ix) The most probable speed of molecules of a gas is given by