General, Organic, and Biological Chemistry: Structures of Life (5th Edition)

Published by Pearson
ISBN 10: 0321967461
ISBN 13: 978-0-32196-746-6

Chapter 9 - Solutions - Additional Questions and Problems - Page 367: 9.119

Answer

a. Initial volume = 75 mL of the original 10.0 % (m/v) $HCl$ solution. b. Initial volume = 90. mL of the original 5.0 % (m/v) $NaCl$ solution. c. Initial volume = 117 mL of the original 6.00 M $NaOH$ solution.

Work Step by Step

1. Write the dilution expression, and solve for the initial volume $(V_1)$ $C_1V_1 = C_2V_2$ $$V_1 = \frac{C_2V_2}{C_1} $$ a. 2. Substitute the values and calculate the initial volume: $$V_1 = \frac{(250 \space mL)(3.0 \space \% (m/v))}{10.0 \space \% (m/v)}$$ $$V_1 = 75 \space mL$$ b. 2. Substitute the values and calculate the initial volume: $$V_1 = \frac{(500. \space mL)(0.90 \space \% (m/v))}{5.0 \space \% (m/v)}$$ $$V_1 = 90. \space mL$$ c. 2. Substitute the values and calculate the initial volume: $$V_1 = \frac{(350. \space mL)(2.00 \space M)}{6.00 \space M}$$ $$V_1 = 117 \space mL$$
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