Chemistry: Molecular Approach (4th Edition)

Published by Pearson
ISBN 10: 0134112830
ISBN 13: 978-0-13411-283-1

Chapter 16 - Exercises - Page 773: 83

Answer

The pH of this KOH solution in 13.842

Work Step by Step

1. Calculate the molar mass: $ KOH $ : ( 1.008 $\times$ 1 )+ ( 16.00 $\times$ 1 )+ ( 39.10 $\times$ 1 )= 56.11 g/mol 2. Use the information as conversion factors to find the molarity of this solution: $$\frac{ 3.85 g \space KOH }{100 \space g \space solution} \times \frac{1 \space mol \space KOH }{ 56.11 \space g \space KOH } \times \frac{ 1.01 \space g \space solution}{1 \space mL \space solution} \times \frac{1000 \space mL}{1 \space L} = 0.693 \space M$$ 3. Calculate the pH of a KOH solution with this concentration. Since KOH is a strong base: $[OH^-] = [KOH] = 0.693 \space M$ $$[H_3O^+] = \frac{1.0 \times 10^{-14}}{[OH^-]} = \frac{1.0 \times 10^{-14}}{ 0.693 } = 1.44 \times 10^{-14} \space M$$ $$pH = -log[H_3O^+] = -log( 1.44 \times 10^{-14} ) = 13.842 $$
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