Physics, asked by ShUbH4105, 1 year ago

Maxwell distribution of molecular velocities is said to be the distribution of wealth in a society

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Answered by DodieZollner
0

The air molecules around us are not traveling at the same speed, even if the air is at the same temperature. Some air molecules will move very fast, some will progress at moderate speed, and some air molecules will rarely be moving forward. Because of this, we can not ask questions like "What is the speed of a wind molecule in the gas?" Since there is a large number of potential motion in a molecule in the gas.

Instead of asking about any particular gas molecule, we ask questions, "What is the distribution of speed in the gas at a certain temperature?" In the late 1800s, James Clerk Maxwell and Ludwig Boultzmann answered the question. Their result is known as Maxwell-Boltszmann distribution, because it shows how the motion of molecules is distributed to ideal gas.

     

No

Of molecules      Maxwell-boltzman Distribution

   Speed v

The Y-axis of the Maxwell-Boltszmann graph can be thought of as the number of molecules at the per unit speed. Therefore, if the graph is more in a given area, then it means that more gas molecules are running along those speeds.

Note that the graph is not symmetrical. The high speed of the graph is a long "tail" on the right edge. The graph continues on the right side of a large speed, but the graph on the left should end up at zero (since the molecule cannot be less than zero).  

The actual mathematical equation for Maxwell-Boltzmann distribution is a bit scary and is generally not necessary for many early algebra categories.


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