According to the kinetic theory of gases, the average kinetic energy of a gas molecule is directly proportional to which of the following?

Solution

1. The average kinetic energy $E$ of a gas molecule is given by the formula $E=\frac{3}{2}kT$.
2. In this equation, $k$ represents the Boltzmann constant and $T$ represents the absolute temperature.
3. Since $\frac{3}{2}k$ is a constant, the kinetic energy $E$ is directly proportional to the absolute temperature $T$.
4. Hence the answer is (B).