According to Kinetic Molecular Theory of Gases, it explains that gas particles are in continuous motion and exhibit ideally elastic collisions. Gas particles are found in a constant state of random motion and particles always travel in a straight line until and unless they collide with another particle. It also explains that the average kinetic energy of a group of gas particles is directly proportional to temperature. In an ideal gas condition, the speed associated with a group of molecules can be found.
As per the Kinetic Molecular Theory of Gases, Kinetic energy is given by
The root-mean-square speed or molecular speed measures the average speed of particles in gas and is given by
Where:
V = molecular speed of the particle
T = Temperature in Kelvin
m: molar mass of the compound
R = Ideal gas constant (8.314 kg*m2/s2*mol*K)
Solved Example On Molecular Speed Formula
Example 1: A temperature of the container full of particles with molar mass 2 gr/mol is 900K. Calculate the speed of those particles if they are not reacting with each other?
Solution:
Given
m= 2 gr/mol
T = 900 K
v = √(3 × 8.314 × 900)/2
v = √(22447.8)/2
v = √11223.9
v = 105.9 m/s
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