Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.7 - Logarithmic Scales - 4.7 Exercises - Page 385: 1

Answer

a. $pH\approx 2.3$ b. $pH\approx 3.5$ c. $pH\approx 8.3$

Work Step by Step

(see p.381) The $\mathrm{p}\mathrm{H}$ scale measures the acidity of a solution:$ \quad \mathrm{p}\mathrm{H}=-\log[\mathrm{H}^{+}]$ where $[\mathrm{H}^{+}]$ is the hydrogen ion concentration (in moles per liter, M). Solutions are neutral if $pH=7$ acidic if $pH < 7$ basic if $pH > 7$ ------------------ a. $pH=-\log[\mathrm{H}^{+}]=-\log(5.0\times 10^{-3})\approx 2.3$ b. $pH=-\log(3.2\times 10^{-4})\approx 3.5$ c. $pH=-\log(5.0\times 10^{-9})\approx 8.3$
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