Finding C from a speed distribution function.

AI Thread Summary
The discussion revolves around determining the constant C from the speed distribution function of gas particles, given as fv = Cv/(v² + vo²)². To find C, it is suggested that it may relate to the constant vo to ensure the function integrates to 1. The most probable speed was calculated by taking the derivative of the function and setting it to zero, resulting in v = vo/√3. For the fraction of particles moving faster than this speed, a definite integral of the function from vo/√3 to infinity is proposed. The conversation emphasizes the need for clarity in integrating and understanding the constants involved.
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Homework Statement


Gas particles of a particular gas have a speed distribution function of

fv = Cv/(v2 +vo2)2

a. Find the value of C

b. Calculate the most probable speed

c. What fractions of the particles are moving faster than the most probable speed

Homework Equations

The Attempt at a Solution


[/B]
For problem a I don't even know where to begin, I know that C is probably a form of vo otherwise the function could end up being higher 1

I already got problem b by taking the derivative of the function and then setting it equal to 0
which got me

v = vo/√3

For problem c what I believe what I need to do is take the definite integral of f*dv between vo/√3 and infinity.
 
Last edited:
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Forgot to mention that vo and C are both constants.
 
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