How much will the average kinetic energy of molecules of a monatomic gas change with an increase

How much will the average kinetic energy of molecules of a monatomic gas change with an increase in its temperature t = 7.0 ° C to t2 = 37 ° C

Data: t (initial temperature of a monatomic gas) = 7.0 ºС; t2 (final temperature of a monatomic gas) = 37 ºС.

Reference values: k (Boltzmann constant) = 1.38 * 10-23 J / K.

The change in the average kinetic energy of molecules of a monatomic gas can be determined by the formula: ΔEk = 3/2 * k * ΔТ = 3/2 * k * (t2 – t).

Let’s calculate: ΔEk = 3/2 * 1.38 * 10-23 * (37 – 7) = 62.1 * 10-23 J.

Answer: The average kinetic energy of molecules of a monatomic gas will increase by 62.1 * 10-23 J.