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## Homework Statement

Confirm that the mean speed of molecules of molar mass M at a temperature T is equal to (8RT/piM)^1/2. Hint: You will need an integral of the form ∫ (where a=0, and b=infinity) x^3*e^(-ax^2) dx = 1/2a^2.

## Homework Equations

The Maxwell speed distribution formula we are using is f=F(s)delta s where F(s)=4pi*(M/2piRT)^1/2*s^2*e^(-Ms^2/2RT)

## The Attempt at a Solution

I attempted to use the answer to the integral and say a= M/2RT, but that didn't work. I then thought a=M/2piRT, but I couldn't get it to be the correct answer. I don't think I need to do the integral just because it is already done for me, but I am stumped at how to relate the mean speed and this integral.