43. In class we showed that mvms kBT for an ideal gas. Why is this such an impor ant finding?
Please type so that I may read it do not handwrite
Let us first try to understand what this equation is:-
If we have a volume/container and if we have a bunch of gas we can write its equation of state. Now it can be two types one is an ideal gas and another is a real gas. According to Kinetic theory in ideal gas particles are noninteracting. Which is a first approximation to solve any statistical system so that the partition function can be written as multiplication of individuals.
Now velocity of the particle in such a system can be three types
1. Most probable velocity
2. Root Mean square velocity
3. Average velocity
Among this root mean square is very important because we are taking the velocity of all the particles in square form(to make standard deviation better). the term m in the equation in question is actually the total mass of the whole gas in the container.
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