The total kinetic energy in one mole of an ideal gas is 4,000 J. What is the average kinetic energy of an individual particle in the ideal gas? A) 6.64 × 10^-21 J B) 5.03 × 10^-21 J C) 4.86 × 10^-21 J D) 4.04 × 10^-21 J E) 3.78 × 10^-21 J

Question

Quizplus · Accepted Answer

The average kinetic energy of an individual particle in an ideal gas is given by the formula:``` = (3/2) * k * T```where:* is the average kinetic energy* k is the Boltzmann constant (1.38 × 10^-23 J/K)* T is the temperature in KelvinIn this problem, we are given that the total kinetic energy in one mole of an ideal gas is 4,000 J. This means that the average kinetic energy of an individual particle is:``` = 4,000 J / (6.022 × 10^23 particles/mol) = 6.64 × 10^-21 J```Therefore, the correct answer is A.

The Total Kinetic Energy in One Mole of an Ideal