Chemistry and Chemical Reactivity (9th Edition)

Published by Cengage Learning
ISBN 10: 1133949649
ISBN 13: 978-1-13394-964-0

Chapter 13 Solutions and Their Behavior - Study Questions - Page 505f: 105

Answer

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Work Step by Step

In 1 kg of each solution: $n_{NaCl}=(5/100\times1000\ g)\div58.44\ g/mol=0.86\ mol\rightarrow m_{NaCl}=0.86\ mol/0.95\ kg=0.905\ m$ $n_{Na_2SO_4}=(5/100\times1000\ g)\div142.04\ g/mol=0.35\ mol\rightarrow m_{Na_2SO_4}=0.35\ mol/0.95\ kg=0.368\ m$ F.p. depression: $\Delta T_f=iK_fm$ $i_{NaCl}=-3.05^{\circ}C/m\div(-1.86^{\circ}C/m\times 0.905\ m)=1.81$ $i_{Na_2SO_4}=-1.36^{\circ}C/m\div(-1.86^{\circ}C/m\times 0.368\ m)=1.99$ Yes, in both cases the trend of a decrease in the van't Hoff factor with the increase in weight percent of the solute is observed.
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