QuestionDecember 15, 2025

15. What is the concentration of HCl (M) in water if the solution is 36.0% HCl by mass and has a density of 1.18g/mL A. 0.116 M B. 0.360 M C. 8.25 M D. 11.6 M E. 36.0 M

15. What is the concentration of HCl (M) in water if the solution is 36.0% HCl by mass and has a density of 1.18g/mL A. 0.116 M B. 0.360 M C. 8.25 M D. 11.6 M E. 36.0 M
15. What is the concentration of HCl (M) in water if the solution is 36.0%  HCl by mass and has
a density of 1.18g/mL
A. 0.116 M
B. 0.360 M
C. 8.25 M
D. 11.6 M
E. 36.0 M

Solution
4.6(238 votes)

Answer

11.6 M Explanation 1. Find mass of solution in 1 L Density = 1.18 g/mL → 1000\text{ mL} \times 1.18\text{ g/mL} = 1180\text{ g solution} 2. Find mass of HCl 36.0\% by mass means 1180 \times 0.360 = 424.8\text{ g HCl} 3. Convert HCl mass to moles Molar mass of HCl = 36.46 g/mol n = \frac{424.8}{36.46} = 11.65\text{ mol} 4. Calculate molarity Volume = 1 L (since we used 1 L of solution) M = \frac{11.65}{1.00} = 11.65\text{ M}

Explanation

1. Find mass of solution in 1 L<br /> Density = 1.18 g/mL → $1000\text{ mL} \times 1.18\text{ g/mL} = 1180\text{ g solution}$<br /><br />2. Find mass of HCl<br /> $36.0\%$ by mass means $1180 \times 0.360 = 424.8\text{ g HCl}$<br /><br />3. Convert HCl mass to moles<br /> Molar mass of HCl = 36.46 g/mol <br /> $n = \frac{424.8}{36.46} = 11.65\text{ mol}$<br /><br />4. Calculate molarity<br /> Volume = 1 L (since we used 1 L of solution) <br /> $M = \frac{11.65}{1.00} = 11.65\text{ M}$
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