RMS Speed Calculator

Calculate RMS Speed





Formula

The formula to calculate the Root Mean Square Velocity is:

\[ V_{rms} = \sqrt{\left(\frac{3 \cdot [R] \cdot T_{g}}{M_{molar}}\right)} \]

Definition

Root Mean Square Velocity is the square root of the average of the square of the velocity. Temperature of Gas is the measure of hotness or coldness of a gas. Molar Mass is the mass of a given substance divided by the amount of substance.

Example Calculation

Let's assume the following values:

Using the formula:

\[ V_{rms} = \sqrt{\left(\frac{3 \cdot [R] \cdot 45}{0.04401}\right)} = 159.701241569226 \]

Conversion Chart

Temperature of Gas (Tg) Molar Mass (Mmolar) Root Mean Square Velocity (Vrms)
40 0.04401 150.567774503347493
41 0.04401 152.438253358083244
42 0.04401 154.286057227590874
43 0.04401 156.111991284486919
44 0.04401 157.916814148399027
45 0.04401 159.701241569225971
46 0.04401 161.465949743977120
47 0.04401 163.211578310782869
48 0.04401 164.938733057669282
49 0.04401 166.647988378622074
50 0.04401 168.339889505172351