Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 16 - Acid-Base Equilibria - Exercises - Page 718: 16.31

Answer

$[H^+] = 3.4641 M$; $[OH^-] = 3.4641 M$.

Work Step by Step

1. Because it is a neutral solution: $[H^+] = [OH^-]$ 2. Multiplicating the concentrations of [H+] and [OH-], we obtain $K_w$. $[H^+] \times [OH^-] = K_{w}$ $[H^+] \times [OH^-] = 1.2 \times 10^{-15} $ 3. For math purpose, let's call [H+] by [OH-], because they have the same value. $[H^+] \times [H^+] = 1.2 \times 10^{-15} $ $[H^+]^2 = 1.2 \times 10^{-15} $ $[H^+] = 3.4641 \times 10^{-8} $ M 4. Because [OH-] = [H+]: $[OH^-] = 3.4641 \times 10^{-8} $ M
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