Magnesium is an essential element for plants and animals. Someone comes up with

Question

Magnesium is an essential element for plants and animals. Someone comes up with an idea to use magnesium to precipitate iron in a small lake at the end of a short river that emerges from an iron mine. The idea is to sprinkle magnesium on the lake surface as well as dump it into the center of the lake. If the goal is to precipitate 50,000 grams of iron, what must the iron (III) chloride concentration of the river water be if it takes 32,645 g of magnesium metal filings to obtain that mass of iron, and the volume in which the solid forms is 100,000 L? 2FeCl3 (aq) +3Mg(s) 3MgCl2 (aq) +2Fe(s)

Explanation / Answer

From the given balanced equation -

2FeCl3 (aq) +3Mg(s) 3MgCl2 (aq) +2Fe(s)

2(162.20) 3(24.31) 3(95.21) 2(55.85) (These are all written by using Molar masses)

32645 g 50000 g

Thus -

To obtained 50000 g of Fe, the amount of FeCl3 required = (50000 )(2)(162.20) / 2 (55.85 g) = 145,210 g

Thus concentration of FeCl3 = ( 145210 g / 162.210 g/mol) / 100,000 L = 8.95e-3 M

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