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Multiple Choice
Complete neutralization of 12.5 mL of Sr(OH)₂ requires 36 mL of 0.1 M HCl. What is the concentration of the Sr(OH)₂ solution?
A
0.288 M
B
0.036 M
C
0.144 M
D
0.072 M
Verified step by step guidance
1
Write the balanced chemical equation for the neutralization reaction: \( \text{Sr(OH)}_2 + 2\text{HCl} \rightarrow \text{SrCl}_2 + 2\text{H}_2\text{O} \). This shows that one mole of \( \text{Sr(OH)}_2 \) reacts with two moles of \( \text{HCl} \).
Calculate the moles of \( \text{HCl} \) used in the reaction. Use the formula: \( \text{moles} = \text{concentration} \times \text{volume} \). Here, the concentration of \( \text{HCl} \) is 0.1 M and the volume is 36 mL (convert to liters by dividing by 1000).
Determine the moles of \( \text{Sr(OH)}_2 \) that reacted. From the balanced equation, 1 mole of \( \text{Sr(OH)}_2 \) reacts with 2 moles of \( \text{HCl} \). Use the stoichiometric ratio to find the moles of \( \text{Sr(OH)}_2 \).
Calculate the concentration of the \( \text{Sr(OH)}_2 \) solution. Use the formula: \( \text{concentration} = \frac{\text{moles}}{\text{volume}} \). The volume of \( \text{Sr(OH)}_2 \) is 12.5 mL (convert to liters by dividing by 1000).
Verify the calculation by checking the units and ensuring that the stoichiometry and conversion factors are correctly applied. This will confirm the concentration of the \( \text{Sr(OH)}_2 \) solution.