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 - 9.5 Dilution of Solution - Questions and Problems - Page 351: 9.64

Answer

a. 0.50 M $HNO_3$ solution. b. 0.75 M $NaF$ solution. c. 2.0% (m/v) $KBr$ solution. d. 10.% (m/v) $HC_2H_3O_2$ solution.

Work Step by Step

1. Write the dilution expression, and solve for the final concentration $(C_2)$ $C_1V_1 = C_2V_2$ $$\frac{C_1V_1}{V_2} = C_2$$ a. 2. Substitute the values and calculate the final concentration: $$C_2 = \frac{(1.0 \space L)(4.0 \space M)}{8.0 \space L}$$ $$C_2 = 0.50 \space M$$ b. 2. Substitute the values and calculate the final concentration: $$C_2 = \frac{(0.25 \space L)(6.0 \space M)}{2.0 \space L}$$ $$C_2 = 0.75 \space M$$ c. 2. Substitute the values and calculate the final concentration: $$C_2 = \frac{(50.0 \space mL)(8.0 \space \% (m/v))}{200.0 \space mL}$$ $$C_2 = 2.0 \space \% (m/v)$$ d. 2. Substitute the values and calculate the final concentration: $$C_2 = \frac{(5.0 \space mL)(50.0 \space \% (m/v))}{25 \space mL}$$ $$C_2 = 10. \space \% (m/v)$$
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