Proving coefficient of volume expansion

  1. 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
     
  2. jcsd
  3. I was thinking of using the ideal gas law:
    PV=nRT

    but ITS NOT A GAS. I'm lost
     
  4. 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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