Question

Temperature is _____ to the average kinetic energy of a gas.
a. directly proportional
b. inversely proportional
c. equal
d. not related

Answer 1

Answer: Option (b) is the correct answer.

Explanation:

As on increasing the temperature, the molecules gain more kinetic energy due to which they tend to collide and move rapidly from one place to another.  

Thus, we can conclude that when temperature is increased, the kinetic energy of the molecules increases.

This means that temperature is directly proportional to the average kinetic energy of a gas.

Answer 2

Ans: a) directly proportional

A collection of gas particles in a container held at a certain temperature (T) will act such that they will collide with each other as well as with the walls of the container. The translational motion of the gas particles manifests as their kinetic energy (KE) which in turn is related to the gas temperature by the following relation:

$KE = \frac{3}{2} kT$ -----(1)

where k = Boltzmann constant

Thus, based on equation(1) the average KE is directly proportional to the temperature.