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: 9.63

Answer

a. Final concentration = $2.0 \space M \space HCl$ b. Final concentration = $2.0 \space M \space NaOH$ c. Final concentration = $2.5\% \space (m/v) \space KOH$ d. Final concentration = $3.0\% \space (m/v) \space H_2SO_4$

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: $$C_2 = \frac{(6.0 \space L)(2.0 \space M)}{6.0 \space L}$$ $$C_2 = 2.0 \space M$$ b. 2. Substitute the values and calculate the final concentration: $$C_2 = \frac{(12 \space L)(0.50 \space M)}{3.0 \space L}$$ $$C_2 = 2.0 \space M$$ c. 2. Substitute the values and calculate the final concentration: $$C_2 = \frac{(25 \space mL)(10.0 \space \% (m/v))}{100.0 \space mL}$$ $$C_2 = 2.5 \space \% (m/v)$$ d. 2. Substitute the values and calculate the final concentration: $$C_2 = \frac{(15 \space mL)(50.0 \space \% (m/v))}{250 \space mL}$$ $$C_2 = 3.0 \space \% (m/v)$$
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