The initial gas temperature was 27 C. How many degrees did the gas temperature

The initial gas temperature was 27 C. How many degrees did the gas temperature increase if the average kinetic energy of its molecules after heating increased 3 times?

Data: t (initial gas temperature) = 27 ºС (absolute temperature is 300 K); after heating, the average kinetic energy of gas molecules increased 3 times.

1) Gas temperature after heating: 3Ek1 = 3 * 3/2 * k * T1 = 3Ek2 = 3/2 * k * T2, where k is the Boltzmann constant; T2 = 3 * 3/2 * k * T1 / (3/2 * k) = 3 * T1 = 3 * 300 = 900 K.

2) Increase in temperature: ΔТ = Т2 – Т1 = 900 – 300 = 600 K.

Answer: The gas temperature has increased by 600 K (600 ºС).