# Calculate the root-mean-square velocity of the gas molecules if its mass is 60.5 g,

October 9, 2021 | education

| **Calculate the root-mean-square velocity of the gas molecules if its mass is 60.5 g, and the volume is 4.9 liters and the pressure is 200 kPa.**

We can find the root mean square velocity from the formula P = 1/3 * ρ * V ^ 2; V = √ (3 * P / (m / V)). But in order to finally find out the speed, we need to translate the values given to us into the values adopted by the SI: 60.5 g = 60.5 * 10 ^ -3 kg, 4.9 l = 0.004 m ^ 3, 200 kPa = 200 000 Pa. Now we can calculate the quadratic velocity V: V = sqrt (3 * 200,000 / (60.5 * 10 ^ -3 / 0.004)) = 199 m / s ^ 2.

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