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theghost28
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Homework Statement
Show the steps needed to obtain the equation for average molecular speed, cavg=√8RT/πM from the integral (from negative infinity to infinity) ∫v*f(v)dv where f(v) is the Maxwell distribution of speeds function f(v)=4π*(M/2πRT)1.5v2e-Mv2/2RT
M is the molar mass of the particle in kg/mol, R is the gas constant (8.314), v is particle velocity, e is the natural number and T is temperature in Kelvin.
Homework Equations
In the problem statement
The Attempt at a Solution
I changed v from the problem to x for simplicity since I'm used to using v for integration by parts. I'm fairly sure this solution is correct, as I've googled what the integral of x3*ex2 is and others have obtained this as well. The problem is when I evaluate that expression from negative infinity to infinity, I get zero. I've gone over my math multiple times, is there something I'm missing?
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