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Homework Help: Linear Expansion equations

  1. Apr 2, 2015 #1
    1. The problem statement, all variables and given/known data
    An object has a density of 1250 kg /m3 at 10C and a coefficient of linear expansion of α = 2.5 × 10−5 1 /K . What is the object’s density when the temperature is 25C?

    2. Relevant equations

    3. The attempt at a solution
    How I got the answer is that I used V(T)=(1+β(Δt))V0 and substituted v=m/ρ and after some algebra gave me the correct answer of 1248.6 kg/m2

    When I used the first equation I listed I didn't get the correct answer... I was just wondering what the difference is in the equations and when to use them

    Thanks in advance!
  2. jcsd
  3. Apr 2, 2015 #2


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    The first equation is not for the volume, it is for the change of volume. You can see this by inserting zero temperature difference (you will get zero and not the volume).
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