Find the root-mean-square velocity of molecules of a gas with a density of 1.8 kg / m³ at a pressure of 152 kPa.
| April 14, 2021 | education
Problem data: ρ (gas density) = 1.8 kg / m3; P (gas pressure) = 152 kPa (152 * 10 ^ 3 Pa).
The root mean square velocity of gas molecules can be calculated from the formula: P = 1/3 * ρ * Vav ^ 2, whence Vav = √ (3P / ρ).
Let’s perform the calculation: Vav = √ (3 * 152 * 10 ^ 3 / 1.8) = 503.3 m / s.
Answer: The mean square velocity of gas molecules is 503.3 m / s.
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