Nitric acid reacts with magnesium hydroxide according to the reaction below.2HNO3 (aq) + Cu(OH)2 (s) ⟶ Cu(NO3)2 (aq) + 2H2O (l)If 250.0 mL of a 0.125 M HNO3 solution is need to completely react with a sample of Cu(OH)2, what is the mass of Cu(OH)2 in the sample?
Question
Nitric acid reacts with magnesium hydroxide according to the reaction below.2HNO3 (aq) + Cu(OH)2 (s) ⟶ Cu(NO3)2 (aq) + 2H2O (l)If 250.0 mL of a 0.125 M HNO3 solution is need to completely react with a sample of Cu(OH)2, what is the mass of Cu(OH)2 in the sample?
Solution
First, we need to determine the number of moles of HNO3. We can do this using the formula:
Molarity = moles/volume
Rearranging for moles gives us:
moles = Molarity * volume
Substituting the given values:
moles HNO3 = 0.125 M * 0.250 L = 0.03125 moles
From the balanced chemical equation, we know that the ratio of HNO3 to Cu(OH)2 is 2:1. Therefore, the moles of Cu(OH)2 is half the moles of HNO3.
moles Cu(OH)2 = 0.03125 moles / 2 = 0.015625 moles
Finally, we can find the mass of Cu(OH)2 by multiplying the number of moles by the molar mass of Cu(OH)2. The molar mass of Cu(OH)2 is approximately 97.56 g/mol.
mass Cu(OH)2 = 0.015625 moles * 97.56 g/mol = 1.525 g
So, the mass of Cu(OH)2 in the sample is approximately 1.525 g.
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