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

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.