Chemistry 9th Edition

Published by Cengage Learning
ISBN 10: 1133611095
ISBN 13: 978-1-13361-109-7

Chapter 14 - Acids and Bases - Exercises - Page 704: 61

Answer

I would put 4.2 mL of $12M$ HCl in a recipient, and then I would fill the recipient with water until it reaches 1600mL of solution.

Work Step by Step

1. Calculate the $[H_3O^+]$ molarity: $[H_3O^+] = 10^{-pH}$ $[H_3O^+] = 10^{- 1.5}$ $[H_3O^+] = 3.2 \times 10^{- 2}M$ 2. Find the number of moles we would need to have this concentration in a 1600 mL solution: $1600mL \times \frac{1L}{1000mL} \times \frac{3.2 \times 10^{-2}mol}{1L} = 0.051mol (H_3O^+)$ 3. Since $HCl$ is a strong acid, the amount of produced $H_3O^+$ is equal to the inicial amount of $HCl$. Calculate the volume of $12M$ $HCl$ that would have 0.0512mol $(H_3O^+)$. $0.051mol(H_3O^+) \times \frac{1mol(HCl)}{1mol(H_3O^+)} \times \frac{1L(solution)}{12mol(HCl)} = 4.2 \times 10^{-3}L = $ 4.2 mL.
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