Question

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 1

Answer: $6.653×10^15

Step-by-step 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