Answer :
The mass of Na that can be extracted from 10 kg of seawater is 64.8 grams
What are Molarity and Molality?
Molarity (M) is the measure of the amount of a substance in a certain volume of solution.
Molarity is defined as the moles of a solute in one liter of a solution.
It is also known as the molar concentration of a solution.
The units of molarity are M or molL⁻¹.
It is given by
Molarity = no of moles solute/volume of solution in Litres
Molality, also known as molal concentration, is the amount of a substance dissolved in a particular mass of solvent.
It is defined as the ratio of the number of moles of a solute per kilogram of a solvent.
The units of molality are m or molkg⁻¹.
It is given by
Molality = no of moles solute/mass of solvent in kg
Here,
The molality of Na in seawater is 0.470 m.
Molality = no. of moles of Na/ 10 kg of seawater
No of moles of Na = 0.470 × 10 = 4.7 g moles
No of moles of Na = given mass/molar mass
Given mass = 4.7 × 23
Mass of Na in seawater = 108.1 g
If the recovery rate is 60 %,
The mass of Na in seawater = 108.1 g × 60/100 = 64.8 g
Hence, The mass of Na that can be extracted from 10 kg of seawater is 64.8 grams
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