Calculate the temperature at which the average kinetic energy of the translational motion of molecules is 10.35 * 10 ^ -21J.

To find the absolute temperature of the gas in question, we will use the formula: Ek = 3/2 * k * T and T = 2 * Ek / (k * 3).

Variables and constants: Ek – average kinetic energy (Ek = 10.35 * 10-21 J); k – Boltzmann’s constant (k = 1.38 * 10-23 J / K).

Let’s perform the calculation: T = 2 * 10.35 * 10-21 / (1.38 * 10-23 * 3) = 500 K (227 ºС).

Answer: The gas in question must be at a temperature of 500 K.



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