Magnesium (mg) is a valuable metal used in alloys, in batteries, and in chemical synthesis. it is obtained mostly from seawater, which contains about 1.3 g of mg for every kilogram of seawater. calculate the volume of seawater (in liters) needed to extract 8.0 x 104 tons of mg, which is roughly the annual production in the united states. (rho seawater = 1.03 g/ml).

The volume of seawater needed to extract tons of magnesium is .

Explanation:

Concentration magnesium in sea water = 1.3 g /kg of seawater

Extracted mass of magnesium ,=

(1 ton = 907185 g)

If 1 kg of sea water contains 1.3 grams of magnesium. Then of magnesium will be contained by:

sea water.

Mass of sea water,m =

Volume of sea water = v

Density of sea water ,d= 1.03 g/mL

1 mL = 0.001 L

The volume of seawater needed to extract tons of magnesium is .

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