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Homework Help: Thermo: Change in temp effect on volume of a steel container

  1. Sep 25, 2010 #1
    1. The problem statement, all variables and given/known data

    The average coefficient of volume expansion for carbon tetrachloride is 5.81*10-4 (°C)-1. If a 49.0 gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0°C, how much will spill over when the temperature rises to 27.0°C?

    2. Relevant equations

    ΔL = α*(original length)*ΔT

    3. The attempt at a solution

    I used this equation except instead of units of length, I substituted units of volume. So my final equation was:
    ΔL = (5.81E-4 (°C)-1) * (49.0 gal) * (27°C - 10°C) = 0.484 gallons. This is incorrect, but within 10% of the correct answer. Not sure what I am doing wrong. Any help is greatly appreciated, Thank you!
  2. jcsd
  3. Sep 25, 2010 #2
    I have solved it - thanks anyway!
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