College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.7 - Logarithmic Scales - 4.7 Exercises - Page 421: 6

Answer

$1.58489\cdot10^{-4}\leq H^+\leq 1.58489\cdot10^{-3}$.

Work Step by Step

We know that $pH$ is given by: $pH=-\log[H^+]$ Thus, we can solve for the hydrogen ion concentration as: $H^+=10^{-pH}$. Hence, here the range of the hydrogen ion concentration is: $10^{-3.8}\approx1.58489\cdot10^{-4}$ and $10^{-2.8}\approx1.58489\cdot10^{-3}$ Thus $1.58489\cdot10^{-4}\leq H^+\leq 1.58489\cdot10^{-3}$.
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