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Thermal expansion, cup overflowing?

  1. Jul 26, 2012 #1
    1. The problem statement, all variables and given/known data
    Coefficient for thermal expansion for glass is β1 = 25x10^-6 K^-1
    Coefficient for thermal expansion for this particular liquid is β2 = 300x10^-6 K^-1

    The glass cup is completely filled with the liquid at 4.0 L. The temperature of the glass and liquid both increased by 10C^o


    2. Relevant equations
    ΔV=(V)(β)(ΔT)


    3. The attempt at a solution
    Alright. I know there's a difference between 10 C^o and 10^o C. Because how can (for example) 58^o C - 57^o C ≠ 274k. So I counted the K as exactly C one for one.

    (4L)(25x10^-6 )(10) = 0.001L (I cancel out the temperature units here)
    (4L)(300x10^-6)(10) = 0.012L (cancel out temperature units)

    So the liquid will spill 0.011L over the cup.

    I'm just not sure how I should I convert the coefficients to the celsius numbers (unless I did it right)
     
  2. jcsd
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