Determine the temperature of the gas under pressure p = 50 kPa, the concentration of molecules

Determine the temperature of the gas under pressure p = 50 kPa, the concentration of molecules of which is n = 1 × 10 ^ 25 m ^ -3.

Data: P (pressure under which the gas is located) = 50 kPa (50 * 10 ^ 3 Pa); n (concentration of molecules of the gas in question) = 1 * 10 ^ 25 m-3.

Reference data: k (Boltzmann’s constant) = 1.38 * 10 ^ -23 J / K.

The gas temperature is determined from the formula: P = n * k * T, whence T = P / (n * k).

Let’s make the calculation: T = 50 * 10 ^ 3 / (1 * 10 ^ 25 * 1.38 * 10 ^ -23) = 362.3 K.

Answer: The sought temperature of the gas in question is 362.3 K.