Proving coefficient of volume expansion

  • Thread starter bray d
  • Start date
  • #1
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Homework Statement


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'.


Homework Equations


B=(deltaV/V)/deltaT
A=(deltaL/L)/deltaT

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
 

Answers and Replies

  • #2
10
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I was thinking of using the ideal gas law:
PV=nRT

but ITS NOT A GAS. I'm lost
 
  • #3
3,003
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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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