Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 660: 68c

Answer

Decreases to $\displaystyle \frac{1}{10}$ of the initial amount.

Work Step by Step

Using the work of part b, $H^{+}=10^{-p_{H}}$ If $p_{H}$ increases by 1, $H^{+}=10^{-(p_{H}+1)}=10^{-p_{H}-1}=10^{-p_{H}}\times(10^{-1})$ The concentration has decreased by a factor of $10^{-1}=\displaystyle \frac{1}{10}$ or, decreases to $\displaystyle \frac{1}{10}$ of the initial amount.
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