At what temperature is the gas if the average kinetic energy of the chaotic motion of its molecules
| September 9, 2021 | education
At what temperature is the gas if the average kinetic energy of the chaotic motion of its molecules is 20% higher than at 0 ° C?
Data: Ek2 (considered average kinetic energy of chaotic motion of molecules) = 1.2Ek1 (initial average kinetic energy); T1 (initial temperature of the taken gas) = 0 ºС (absolute temperature T1 = 273 K).
To determine the final temperature of the taken gas, we use the formula: Ek = 3/2 * k * T, whence 3/2 * k = Ek1 / T1 = Ek2 / T2 and T2 = Ek2 * T1 / Ek1.
Calculation: T2 = 1.2 * Ek1 * 273 / Ek1 = 1.2 * 273 = 327.6 K (54.6 ºС).
Answer: The taken gas is at a temperature of 54.6 ºС.
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