# Molecular Speed Formula

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

$KE=\frac{1}{2}mv^{2}$

The root-mean-square speed or molecular speed measures the average speed of particles in a gas and is given by

$v=\sqrt{\frac{3RT}{m}}$

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)

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#### Practise This Question

The Undertaker brags about stopping a moving car with bare hands. To prove himself he stands infront of a moving car coming towards him and surprisingly stops the car in 10 seconds after initial contact.The work done by him in this duration will be