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

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