The initial gas temperature was 27 C. How many degrees did the gas temperature
August 17, 2021 | education
| 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).
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