Magnesium (mg) is a valuable metal used in alloys, in batteries, and in the manufacture of chemicals. it is obtained mostly from seawater, which contains about 1.30 g of mg for every kilogram of seawater. calculate the volume of seawater (in liters) needed to extract 5.33 × 104 tons of mg. seawater has a density of 1.03 g/ml. (1 ton = 2000 lb; 1 lb = 453.6 g) enter your answer in scientific notation.

Given that, 1.30 g of mg per kg (1000 g) of sea water.

Convert into gram.

1 ton = 2000 lb

Thus,

 =

= =

1 lb = 453.6 g

Thus,

=

= =

Now,

1.30 g of magnesium is present in  1000 g of seawater.

Thus, 1 g of magnesium present in of seawater.

of magnesium present in =  

= of seawater.

Now, density of sea water is

Density is equal to the ratio of mass and volume.

Put the value of density and mass to find the volume:

Volume =

Volume =

Now, convert ml into L:

1 L = 1000 ml

Volume in L =

=

Thus, volume in litres =

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