Question

Find the root mean square velocity urms, (m/s) for an oxygen molecule O2, at 24.0C

Answer 1

Step-by-step explanation

Given

Temperature = 24.0 C = 273 + 24.0 = 297 K

Required: Vrms of oxygen

Solution

Root mean square velocity is the average velocity of the molecules that make up a gas.

This value can be found using the formula:

`V_(rms)=[(3RT)/(M)]^{(1)/(2)}`

where

vrms = average velocity or root mean square velocity

R = ideal gas constant = R = 8.3145 kg·m2/s2/K·mol

T = absolute temperature = 297 K

M = molar mass = 31.998 g/mol = 0.03199 kg/mol

Vrms = [(3 x 8.3145 kg·m2/s2/K·mol x 297 K)/(0.03199 kg/mol)]^1/2

Vrms = 481.23 m/s

Answer

The root mean square velocity of O2 = 481.23 m/s