Question

According to the kinetic theory, what is the kinetic energy of a gas molecule proportional to?

Answer 1

Answer: The correct answer is temperature of the gas.

Step-by-step explanation:

Average kinetic energy of the particles is defined as the average of the kinetic energies of all the particles in a gas molecule. The equation used to calculate the average kinetic energy of a gas is given by:

`K=(3)/(2)(RT)/(N_A)`

where,

K = kinetic energy of the gas

R = gas constant

T = temperature of the gas

`N_A` = Avogadro's number

From the above equation, kinetic energy is directly related to the temperature of the gas molecule. As, the temperature of the gas increases, kinetic energy also increases and vice-versa.

`\text{Kinetic energy}\propto \text{Temperature}`

Hence, the correct answer is temperature of the gas.