Question

In which sample is the average kinetic energy of the particles greatest?

Answer 1

The question asks about the average kinetic energy, so it is related only to temperature. Then the answer is (3) with the highest temperature.

Answer 2

Answer: The correct answer is option 3.

Explanation: Average kinetic energy is defined as the energy of motion of the particles of a system. It is a measure of Kelvin Temperature.

Mathematically,

$K=\frac{3}{2}\frac{R}{N_A}T$

where,

K = kinetic energy of the molecules measured in joules.

R = Gas constant = $8.314Jmol^{-1}K^{-1}$

$N_A$ = Avogadro's number = $6.022\times 10^{23}atoms/mol$

T = Temperature in kelvins.

Kinetic energy is directly proportional to the temperature of the system.

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

More the temperature, more will be the kinetic energy of the molecules.

Hence, the correct answer is Option 3.