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Homework Help: Help with a volume expansion problem

  1. Apr 19, 2012 #1
    1. The problem statement, all variables and given/known data

    A 3.00-liter aluminum cylinder at 5.00°C is filled to the brim with gasoline at the same temperature. If the aluminum and gasoline are warmed to 53.0°C, how much gasoline spills out? [Hint: Be sure to account for the expansion of the container. Also, ignore the possibility of evaporation, and assume the volume coefficients are good to three digits.

    2. Relevant equations

    Coeff of Linear Expansion for Al : 24 X 10^-6
    Coeff of Volume Expansion for gasoline: 9.6 X 10 ^-4
    Volume Expansion Formula: ΔV = βVoΔT

    3. The attempt at a solution

    I calculated the volume expansion formula for each variable and came up this:
    aluminum = (24 X 10^-6)(3.00L)(53.0 - 5.00)°C = .003456
    gasoline = (9.6 X 10^-4)(3.00L)(53.0 - 5.00)°C = .13824

    I then subtracted (.13824) - (.003456) = .134784 = .135
    And this is the incorrect answer.... The correct answer is 128 cm^3 so I don't know what I am doing incorrectly....
  2. jcsd
  3. Apr 19, 2012 #2
    I figured it out - NM
  4. Jun 12, 2013 #3
    how did you solve this problem?
  5. Jun 12, 2013 #4


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    Staff Emeritus
    Science Advisor
    Homework Helper

    jk27, please stand by, I or somebody will post some help in your thread.

    p.s. Welcome to PF to both of you.
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