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Thermodynamics expansion problem

  1. Dec 4, 2011 #1
    1. The problem statement, all variables and given/known data
    On a hot summer day, a cubical swimming pool is filled to within 1.2 cm of the top with water at 24 °C. When the water warms to 34 °C, the pool overflows. What is the depth of the pool? (The volume expansion coefficient for water is 2.07 10-4 °C−1.)


    2. Relevant equations
    ΔV = βV0ΔT


    3. The attempt at a solution
    I set ΔV equal to 1.2, plugged the numbers in, got 193.24 cm3 for the volume, and took the cube root of the result for the depth. That didn't work. What am I supposed to do?
     
  2. jcsd
  3. Dec 4, 2011 #2

    I like Serena

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    Homework Helper

    Hi xnitexlitex! :smile:

    ΔV is not equal to 1.2.
    1.2 cm is the change in depth, not the change in volume.

    How did you plug your numbers in and get your volume?
    Because I see no reason why you would need to take a cube root...
     
  4. Dec 4, 2011 #3
    Thank you. I just got the answer now.
     
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