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25 June, 14:37

A 3.6-mL volume of seawater contains about 4.0 * 10-10 g of gold. The total volume of ocean water is about 1.5 * 1021 L. Calculate the total worth of all the gold in the world's oceans if the price of gold is $21.84 per gram.

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  1. 25 June, 14:47
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    total worth of all the gold: $3.64 E15 USD

    Explanation:

    density (δ) = mass/volume

    ∴ mass gold = 4.0 E-10 g

    ∴ volume = 3.6 mL = 3.6 E-3 L

    ⇒ δ = 4.0 E-10 g / 3.6 E-3 L

    ⇒ δ = 1.111 E-7 g/L

    if volume = 1.5 E21 L:

    ⇒ mass gold = (δ) (v)

    ⇒ mass gold = (1.111 E-7 g/L) (1.5 E21 L)

    ⇒ mass gold = 1.666 E14 g

    ∴ price gold = $21.84 USD/g

    for all the gold in the world's oceans:

    ⇒ price gold = (1.666 E14 g) ($21.84 USD/g)

    ⇒ price gold = $3.64 E15 USD
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