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13 January, 03:39

A fishing boat accidentally spills 3.0 barrels of diesel oil into the ocean. each barrel contains 42 gallons. if the oil film on the ocean is 2.5 * 102 nm thick, how many square meters will the oil slick cover?

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  1. 13 January, 04:54
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    Number of barrels are 3.0. Each barrel contains 42 gallons of oil. Thus, total volume of oil will be 42*3=126 gallons.

    Converting gallons into m^{3}

    1 gallon=0.00378 m^{3}

    Thus, 126 gallons=0.4769 m^{3}

    Thickness of oil film is 2.5/times 10^{2} nm, converting it into meters as follows:

    1 nm=10^{-9} m

    Thus,

    2.5/times 10^{2} nm=1.5/times 10^{-7}m

    Now, volume V of oil is related to area A and thickness T as follows:

    V=A*T

    rearranging,

    A=/frac{V}{T}=/frac{0.4769 m^{3}}{2/times 10^{-7}m}=2.38/times 10^{6}m^{2}

    Thus, square meters of oil will be 2.38/times 10^{6}m^{2}
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