Calculate the average translational kinetic energy, 𝐸k, for one mole of gas at 619 K. Translational kinetic energy is sometimes called average kinetic energy.

Question

And Calculate the average translational kinetic energy for a single gas molecule at 619 K.

Answer 1

KE(avg) = 3/2 nRT

KE(avg) = 3/2 (1 mol)(8.314 J/Kmol)(619K)

KE(avg) = 7720 J

KE(avg) = 3/2 K_BT where K_B is Boltzman constant = 1.38x10^-23 J / K * molecule

KE(avg) = 3/2 (1.38x10^-23 J / K * molecule)(619K)

KE(avg) = 1.28x10^-20 J / molecule

or...

7720 J / mol * 1 mol / 6.022x10²³ molecules = 1.28x10^-20 J / molecule