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22 February, 14:43

During an all-night cram session, a student heats up a 0.607 liter (0.607 x 10 - 3 m3) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 16.2 °C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 93.5 °C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?

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  1. 22 February, 18:11
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    Answer: 0.00000938422m^3

    Explanation:

    dV=Vø*β * (t1-tø)

    The parameters are

    dV is the change in volume after temperature increase

    Vø = 0.607 * 10^-3m3 is the initial vokume of coffe at 16.2^0 C

    β = coefficient of volume expansion of water at 16.2^0 C is 0.0002/0C

    t1 = 93.5^0C final temperature

    tø=16.2^0 C

    Therefore

    dV=0.607 * 10^-3 * 0.0002 * (93.5-16.2)

    dV = 0.00000938422m^3

    This is the volume of coffee that will spill over the container
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