An abondoned stone quarry has filled with water to an average depth of 22.50 meters and a surface are of 2.887 km^2. in your lab you analyze five water samples from the quarry and conclude that each liter of quarry water contains 18.3pg of mercury on average.

(a.) what is the volume (in m^3) of the water in the quarry?

(b.) what is the total mass of mercury (in kg) in the quarry?

(a) The volume of water in the quarry is 6.496 x 10⁷ m³.

(b) The total mass of mercury is 1.19 x 10⁻³ kg.

Explanation:

(a) The volume of water can be calculated like:

Volume = depth x surface

In order to have coherence between units we will use proportions to transform km² to m².

Then,

Volume = 22.50 m x 2.887 x 10⁶ m² = 6.496 x 10⁷ m³

(b) We can find out the total mass of mercury using proportions. We will need these relations:

1 L = 10⁻³ m³

1 pg = 10⁻¹² g

1 kg = 10³ g

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