At what temperature is the gas, if the average kinetic energy of the translational

At what temperature is the gas, if the average kinetic energy of the translational motion of gas molecules is 2.6 * 10 (-23 degrees) J k = 1.38 * 10 (-23 degrees) J / k

To determine the temperature of the taken gas, we apply the formula: Ek = 3/2 * k * T, whence T = 2Ek / 3k.

Values of variables and constants: k – Boltzmann’s constant (according to the condition k = 1.38 * 10 ^ -23 J / K); Ek is the average kinetic energy of the translational motion of molecules (Ek = 2.6 * 10 ^ -23 J).

Let’s make a calculation: T = 2 * 2.6 * 10 ^ -23 / (3 * 1.38 * 10 ^ -23) = 1.27 K.

Answer: According to the calculation, the gas is at a temperature of 1.27 K (cryogenic temperature).