Respuesta :
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
= [tex]80\times 10^6 gal=4.546\times 80\time 10^6 L=3.637\times 10^8 L[/tex]
1 gallon = 4.546 Liter
Mass of calcium ion in V = [tex]46.9 mg/L\times 3.637\times 10^8 L[/tex]
= [tex]1.706\times 10^{10} mg[/tex]
1 mg = 0.001 g
[tex]1.706\times 10^{7} g[/tex]
Moles of calcium ions = [tex]\frac{1.706\times 10^{7} g}{40 g/mol}=426,500 mol[/tex]
From 1 mole of calcium ion 1mol of carbonate is formed . then from 426,500 moles of calcium ion will form :
[tex]\frac{1}{1}\times 426,500 mol=426,500 mol[/tex] 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 = [tex]14.8 mg/L\times 3.637\times 10^8 L[/tex]
= [tex]5.382\times 10^{9} mg[/tex]
= [tex]5.382\times 10^{6} g[/tex]
Moles of magnesium ions = [tex]\frac{5.382\times 10^{6} g}{24 g/mol}=224,250 mol[/tex]
From 1 mole of magnesium ion 1 mol of magnesium hydroxide is formed . then from 224,250 moles of magnesium ion will form :
[tex]\frac{1}{1}\times 224,250 mol=224,250 mol[/tex] 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.
