What is the mean square velocity of gas molecules, the density of which at a pressure of 49 kPa is 0.04 kg / m3?

Task data: P (gas pressure) = 49 kPa (49 * 10 ^ 3 Pa); ρ (gas density at a given pressure) = 0.04 kg / m3.

We express the mean square velocity of the molecules of the gas under consideration from the formula: P = ρ * Vav ^ 2/3, whence Vav2 = 3P / ρ and Vav = √ (3P / ρ).

Calculation: Vav = √ (3 * 49 * 10 ^ 3 / 0.04) = 1917 m / s.

Answer: Gas molecules have a root mean square velocity of 1917 m / s.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.