Answer:
4.08 grams
Explanation:
Essentially, we're looking for the mass of HCl that "matches" 3.26 grams of magnesium hydroxide.
First, convert 3.26 grams of [tex]Mg(OH)_2[/tex] into moles by dividing by the molar mass. The molar mass of [tex]Mg(OH)_2[/tex] is 24.3 + 16 * 2 + 1 * 2 = 58.3 g/mol. So, 3.26 grams is equal to:
3.26 g ÷ 58.3 g/mol = 0.0559 mol [tex]Mg(OH)_2[/tex]
Notice that from the chemical equation, magnesium hydroxide and hydrochloric acid (HCl) have a ratio of 1 to 2. In other words, for every 0.0559 moles of [tex]Mg(OH)_2[/tex], there are 0.0559 * 2 = 0.112 moles of HCl.
Finally, convert moles of HCl to grams by multiplying 0.112 by the molar mass, which is 1 + 35.45 = 36.45 g/mol:
0.112 mol HCl * 36.45 g/mol = 4.08 g HCl
The answer is thus 4.08 grams.
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