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2 February, 00:15

A 1.8-mL volume of seawater contains about 4.0 * 10^-10 g of gold. The total volume of ocean water is about 1.5 * 10^21 L. Calculate the total worth of all the gold in the world's oceans if the price of gold is $19.96 per gram answer is in scientific notation

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  1. 2 February, 01:25
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    Answer: $6.653*10^15

    Explanation:

    Volume of sea water sample = 1.8mL

    Mass of gold in sample = 4.0 * 10^-10 g

    Total volume of ocean water = 1.5 * 10^21 L

    Converting volume of seawater sample into liters:

    1.8mL = (1.8/1000) L = 0.0018L = 1.8*10^-3

    If volume of gold in;

    1.8*10^-3L = 4 * 10^-10 g

    1.5*10^21 L = X

    (1.8*10^-3L) X = [ (1.5*10^21) * (4*10^-10) ]

    X = [1.5*4 (10^21-10) ] / 1.8*10^-3

    X = 6.0 (10^11) / 1.8*10^-3

    X = 3.333 * (10^11+3)

    X = 3.333 * 10^14

    Cost of world's gold equals

    (3.333 * 10^14) * $19.96

    $66.53 * 10^14
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