What is the gas pressure in the vessel at a temperature of +20 if the concentration of molecules is 2.7 * 10 ^ 25?

The gas pressure in the vessel is calculated by the formula (gas is considered ideal):

P = n * k * T, where n is the concentration of gas molecules (n = 2.7 * 10 ^ 25 m-3), k is the Boltzmann constant (k = 1.38 * 10 ^ -23 J / K), T – absolute gas temperature (T = 20 ºC = 20 + 273 K = 293 K).

Let’s calculate the gas pressure in the vessel:

P = n * k * T = 2.7 * 10 ^ 25 * 1.38 * 10 ^ -23 * 293 = 109171.8 Pa ≈ 109 kPa.

Answer: The gas pressure in the vessel is 109 kPa.