Question

the average kinetic energy of the gas molecules is
(a) greatest in container a
(b) greatest in container b
(c) greatest in container c
(d) the same in all three containers

Explanation:

Step1: Recall kinetic - energy formula

The average kinetic energy of gas molecules is given by $\overline{KE}=\frac{3}{2}kT$, where $k$ is the Boltzmann constant and $T$ is the absolute temperature.

Step2: Analyze the temperatures

The temperatures of the gases in containers A, B, and C are all $27^{\circ}C$. Converting to Kelvin, $T=(27 + 273)K=300K$. Since the temperature is the same for all three gases, the average kinetic energy of the gas molecules is the same for all three containers.

Answer:

D. the same in all three containers