Answer:
42,650 kg of calcium carbonate will be produced everyday.
13,600.5 kg of magnesium hydroxide will be produced everyday.
Explanation:
Concentration of calcium ions = 46.9 mg/L
Concentration of magnesium ions = 14.8 mg/L
Volume of solution treated everyday , V= 80 million gal
= ![80\times 10^6 gal=4.546\times 80\time 10^6 L=3.637\times 10^8 L](https://tex.z-dn.net/?f=80%5Ctimes%2010%5E6%20gal%3D4.546%5Ctimes%2080%5Ctime%2010%5E6%20L%3D3.637%5Ctimes%2010%5E8%20L)
1 gallon = 4.546 Liter
Mass of calcium ion in V = ![46.9 mg/L\times 3.637\times 10^8 L](https://tex.z-dn.net/?f=46.9%20mg%2FL%5Ctimes%203.637%5Ctimes%2010%5E8%20L)
= ![1.706\times 10^{10} mg](https://tex.z-dn.net/?f=1.706%5Ctimes%2010%5E%7B10%7D%20mg)
1 mg = 0.001 g
![1.706\times 10^{7} g](https://tex.z-dn.net/?f=1.706%5Ctimes%2010%5E%7B7%7D%20g)
Moles of calcium ions = ![\frac{1.706\times 10^{7} g}{40 g/mol}=426,500 mol](https://tex.z-dn.net/?f=%5Cfrac%7B1.706%5Ctimes%2010%5E%7B7%7D%20g%7D%7B40%20g%2Fmol%7D%3D426%2C500%20mol)
From 1 mole of calcium ion 1mol of carbonate is formed . then from 426,500 moles of calcium ion will form :
of calcium carbonate
Mass of 426,500 moles of calcium carbonate:
426,500 mol × 100 g/mol = 42,650,000 g = 42,650 kg
Mass of magnesium ion in V = ![14.8 mg/L\times 3.637\times 10^8 L](https://tex.z-dn.net/?f=14.8%20mg%2FL%5Ctimes%203.637%5Ctimes%2010%5E8%20L)
= ![5.382\times 10^{9} mg](https://tex.z-dn.net/?f=5.382%5Ctimes%2010%5E%7B9%7D%20mg)
= ![5.382\times 10^{6} g](https://tex.z-dn.net/?f=5.382%5Ctimes%2010%5E%7B6%7D%20g)
Moles of magnesium ions = ![\frac{5.382\times 10^{6} g}{24 g/mol}=224,250 mol](https://tex.z-dn.net/?f=%5Cfrac%7B5.382%5Ctimes%2010%5E%7B6%7D%20g%7D%7B24%20g%2Fmol%7D%3D224%2C250%20mol)
From 1 mole of magnesium ion 1 mol of magnesium hydroxide is formed . then from 224,250 moles of magnesium ion will form :
of magnesium hydroxide
Mass of 224,250 moles of magnesium hydroxide:
224,250 mol × 58 g/mol = 13,006,500 g = 13,006.5 kg
42,650 kg of calcium carbonate will be produced everyday.
13,600.5 kg of magnesium hydroxide will be produced everyday.