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Thermal Expansion of Water

  1. Dec 3, 2009 #1
    1. The problem statement, all variables and given/known data
    An ordinary drinking glass is filled to the brim with water (266.3 mL) at 3°C and placed on the sunny pool deck for a swimmer to enjoy. If the temperature of the water rises to 32°C before the swimmer reaches for the glass, how much water will have spilled over the top of the glass?

    (Use the following values for the volume expansion coefficients:
    For glass 28.2e-6/C and for water 207.0e-6/C)


    2. Relevant equations
    V=V0*B*T


    3. The attempt at a solution
    According to my book, the B for water is 210*10^-6.

    I plugged in the values that I have, getting V=266.3*(210*10^-6)*29, and get 1.62177.

    I do the same for glass, getting V=266.3*(27*10^-6)*29, and get 0.208513.

    I subtract the 0.208513 from 1.62177 and get 1.41325.

    What am I doing wrong?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 3, 2009 #2
    Does anybody know?
     
  4. Dec 3, 2009 #3

    ideasrule

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    Homework Helper

    Why do you think the answer's wrong? It looks right to me.
     
  5. Dec 3, 2009 #4
    The assignment is online and the answer I got comes up as incorrect.
     
  6. Dec 3, 2009 #5

    ideasrule

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    That could be due to a lot of reasons. Does the online app care about significant digits? Did it ask for the answer in mL, or in another unit? Is there a standard data table that you're supposed to use? (I notice that the coefficients you used in your problem statement are different from those in your solution.)
     
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