The total volume of seawater is 1.5 x 10²¹ L. Seawater contains approximately 3.5% sodium chloride by mass. At that high of a concentration of salt within the water, the density of water is 1.03 g/mL. Calculate the total mass of sodium chloride, in grams, contained in all the seawater in the world.

Following are the calculation to the total mass of sodium chloride in grams:

Given:

Seawater volume

Seawater density

of sodium chloride in seawater

To find:

The total mass of sodium chloride in grams=?

Solution:

The total volume of seawater

The density of seawater

Seawater mass = Seawater volume density

of sodium chloride in seawater

Calculating the sodium chloride mass in Seawater:

Calculating the sodium chloride mass

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There are grams contained in all the seawater in the world.

Explanation:

At first let is determinate the total mass of seawater (), measured in grams, in the world by definition of density and considering that mass is distributed uniformly:

Where:

- Density of seawater, measured in grams per liters.

- Volume of seawater, measured in liters.

If and , then:

The total mass of sodium chloride is determined by the following ratio:

Given that and , the total mass of sodium chloride in all the seawater in the world is:

There are grams contained in all the seawater in the world.