What is the average translational kinetic energy per atom for nitrogen atoms (not N2) in a gas of nitrogen at atmospheric pressure at a temperature of 81 ∘C?

The average translational kinetic energy per atom for nitrogen atoms (not N₂) in a gas of nitrogen at atmospheric pressure at a temperature of 81 ∘C = 7.32 × 10⁻²¹ J

Explanation:

Average translational kinetic energy is given by

Eₐᵥ₉ = 3RT/2Nₐ

R = molar gas constant

T = absolute temperature in Kelvin

Nₐ = Avogadro's constant

The average translational kinetic energy is given more conveniently as

Eₐᵥ₉ = 3kT/2

k = Boltzmann's constant = (R/Nₐ) = 1.381 × 10⁻²³ J/K

T = 81 + 273.15 = 353.15 K

Eₐᵥ₉ = (3 × 1.381 × 10⁻²³ × 353.15)/2 = 7.32 × 10⁻²¹ J

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