Question

Derivation of maxwell's law of distribution of velocities and its experimental verification

Answer 1

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➡️A Gas contain a large number of particles in rapid motion .each particle has a different speed and each collision between particle changes the speed of particles.

➡️The proper treatment is to average the square of the velocities and then take the square root of this value.The resulting quantity is know as the root mean the square velocity.

➡️In eq1 when n is the number of molecule in the system.The formula relating the RMS velocity to the temperature and molar mass is surprisingly considering the great complexity of the even it represents.

➡️ In eq2 Where:-

M is the molar mass in kg mol-1

R is the gas constant

➡️In eq3 Where:-

M is the molecular mass in kg .

kb is the Boltzmann constant and is just the

"Gas constant per molecule".

Answer 2

Answer:

Maxwell's law of distribution of velocities is a statistical law describing the distribution of particles in a gas. It was derived by James Clerk Maxwell in 1859 and was later experimentally verified by Ludwig Boltzmann in 1872.

Explanation:

The law states that the probability of a particle in a gas having a velocity within a specific range is proportional to the exponential of the negative of the kinetic energy of the particle divided by the temperature of the gas. This means that many particles will have low velocities at a given temperature while fewer particles will have high velocities.

Ludwig Boltzmann conducted the experimental verification of this law by measuring the velocities of particles in a gas and comparing them to the law's predictions. He found that the distribution of velocities of particles in gas followed the predictions of the law, providing strong evidence for the validity of the theory.

Maxwell's law of distribution of velocities is an essential concept in statistical mechanics. It is used to explain a wide range of gas phenomena, such as the behavior of gases under different conditions and the transport properties of gases. It is also the foundation of the kinetic theory of gases which explains the macroscopic properties of gases in terms of the motion and interactions of their microscopic particles.

To learn more about Maxwell's law, click on the link below.

https://brainly.in/question/1822855

To learn more about particles in a gas, click on the link below.

https://brainly.in/question/1210244

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