Maxwell-Boltzmann

Question 1

What formula to use when finding probability of all the states with the same energy?

Answer 1

The one that includes the number of states of that energy in the numerator

Question 2

What formula to use when finding the probability of a specific state?

Answer 2

The one that doesnt include the number of states of that energy in the numerator

Question 3

How to find most probable speed?

Answer 3

Differentiate the probability distribution

Question 4

How to find average velocity?

Answer 4

Integrate the probability distribution multiplied by v between -infinity and infinity - requires feynman trick - if it is 1d, it is even so you can pull a 2 out and integrate between 0 and infinity

Question 5

How to find average KE?

Answer 5

Integrate the probability distribution multiplied by v^2 between -infinity and infinity - requires feynman trick - in 3d, pull a 2 out and integrate between 0 and infinity