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Proving coefficient of volume expansion

by bray d
Tags: coefficient, expansion, proving, volume
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bray d
#1
Feb17-08, 05:43 PM
P: 11
1. The problem statement, all variables and given/known data
Prove the equation B=3A, where B is the coefficient of volume expansion and A is the coefficient of linear expansion, considering a cube of side 's' and therefore volume V=s^3 that undergoes a small temperature change 'dT' and corresponding length and volume changes 'ds' and 'dV'.


2. Relevant equations
B=(deltaV/V)/deltaT
A=(deltaL/L)/deltaT

3. The attempt at a solution
I think I need to prove the coefficient of linear expansion, then prove the coefficient of volume expansion and observe the relationship between the two. I don't know where to start though, or if there is a more straight forward way. any help is appreciated, thanks
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bray d
#2
Feb17-08, 11:06 PM
P: 11
I was thinking of using the ideal gas law:
PV=nRT

but ITS NOT A GAS. I'm lost
Saladsamurai
#3
Feb17-08, 11:13 PM
Saladsamurai's Avatar
P: 3,016
Are you sure that you don't just need to show that if the coefficient of linear expansion is A then the coefficient of volume of expansion is just 3A?

I feel that this is more likely the question being asked.


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