A sealed container holds 0.020 moles of nitrogen (N²) gas at a pressure of 1.5 atmospheres and a temperature of 290 K. The atomic mass of nitrogen is 14 g/mol. The Boltzmann constant is 1.38 × 10^-23 J/K and the ideal gas constant is R = 8.314 J/mol•K = 0.0821 L ∙ atm/mol ∙ K. The average translational kinetic energy of a nitrogen molecule is closest to A) 4.0 × 10^-21 J. B) 6.0 × 10^-21 J. C) 8.0 × 10^-21 J. D) 10 × 10^-21 J. E) 12 × 10^-21 J.

Question

Quizplus · Accepted Answer

The average translational kinetic energy of a molecule is given by (3/2)kT, where k is the Boltzmann constant and T is the temperature in Kelvin. Substituting the given values: (3/2) * 1.38 × 10^-23 J/K * 290 K ≈ 6.0 × 10^-21 J.

A Sealed Container Holds 0