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: 7

Answer

a) $10^{-3.2}\approx6.30957\cdot10^{-4}~M$ $10^{-2.9}\approx1.25893\cdot10^{-3}~M$ b) California wine

Work Step by Step

We know that pH is given by the formula: $pH=-\log[H^+]$ Thus $H^+=10^{-pH}$. a) Hence, here the hydrogen ion concentrations are: $10^{-3.2}\approx6.30957\cdot10^{-4}~M$ and $10^{-2.9}\approx1.25893\cdot10^{-3}~M$ b) Thus the California wine has a lower hydrogen ion concentration.
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