Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.7 Applications of Exponential Functions and Logarithmic Functions - 12.7 Exercise Set - Page 834: 14

Answer

The pH value of milk is about $6.8$.

Work Step by Step

First, note that the hydrogen ion concentration of milk is about $1.6\times {{10}^{-7}}$moles per liter. Thus, $\left[ {{\text{H}}^{\text{+}}} \right]=1.6\times {{10}^{-7}}$. Substitute it in the formula $\text{pH}=-\log \left[ {{\text{H}}^{\text{+}}} \right]$ as follows: $\begin{align} & \text{pH}=-\log \left[ {{\text{H}}^{\text{+}}} \right] \\ & \text{pH}=-\log \left[ 1.6\times {{10}^{-7}} \right] \\ \end{align}$ Therefore: $\begin{align} & \text{pH}=-\log \left[ 1.6\times {{10}^{-7}} \right] \\ & \text{pH}\approx -\left( -6.795 \right) \\ & \text{pH}\approx 6.795 \end{align}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.