A steel (\alpha = 12 x 10^{-6} ^o C^{-1}) container with a volume of 548 {cm}^3 is filled with oil (\beta = 0.7 x 10^{-3} ^oC^{-1}). If the temperature is increased by 10^oC how much oil overflows?

V_{spillage} =

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  1. Vc = Vo + a*(T-To)Vo
    Vc=548 + 12*10^-6*(10)*548 = 548.06576 cm^3 = Volume of container after 10oC
    increase in temperature.

    V = 548 + 7*10^-4*(10)*548 = 551.836 cm^3. = Volume of the oil after a 10oC
    increase in temperature.

    Vs = 551.836 - 548.06576 = 3.77 cm^3 =
    Volume spilled.

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