The concentration of Mg in seawater is 0.054 M. How many grams of Mg can be extracted from 10.0 kg of seawater if the recovery rate is 20.0%?

Question

Quizplus · Accepted Answer

To find the grams of Mg extracted, first calculate the moles of Mg in 10.0 kg of seawater using the concentration (0.054 M). Convert 10.0 kg of seawater to liters (assuming the density of seawater is approximately 1 kg/L), which gives 10.0 L. Moles of Mg = 0.054 mol/L * 10.0 L = 0.54 mol. The molar mass of Mg is 24.305 g/mol, so the total grams of Mg = 0.54 mol * 24.305 g/mol = 13.1157 g. With a recovery rate of 20%, the extracted Mg = 13.1157 g * 0.20 = 2.62314 g, which rounds to 2.62 g.

The Concentration of Mg in Seawater Is 0