In a closed vessel there is a gas with a density of 2 kg / m3. Determine the value of the gas pressure

In a closed vessel there is a gas with a density of 2 kg / m3. Determine the value of the gas pressure on the vessel walls if the rms velocity of its molecules is 600 m / s.

To find the value of the pressure on the walls of the specified closed vessel, we will use the formula: P = 1/3 * ρg * V ^ 2.

Variables: ρg is the density of the gas in the vessel (ρg = 2 kg / m3); V – root mean square speed (V = 600 m / s).

Let’s make a calculation: P = 1/3 * ρg * V ^ 2 = 1/3 * 2 * 600 ^ 2 = 240 * 10 ^ 3 Pa.

Answer: The gas pressure on the walls of the specified closed vessel is 240 kPa.