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?
1 answer:
Answer:
(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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