Answered: What mass of ethanol, (C2H5OH) a…

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter13: The Chemistry Of Solutes And Solutions

Section: Chapter Questions

Problem 69QRT

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Question

What mass of ethanol, (C₂H₅OH) a nonelectrolyte, must be added to 10.0 L of water to give a solution that freezes at –10.0°C? Assume the density of water is 1.0 g/mL.

[K_f of water is 1.86°C/m.]

1.17 kg

2.48 kg

5.38 kg

24.8 kg

85.7 kg

Expert Solution

Step 1

$V o l u m e o f w a t e r (V) = 10 L = 10 L x \frac{1000 m L}{1 L} = 10000 m L M a s s o f w a t e r = V x D e n s i t y = 10000 m L x 1 g / m L = 10000 g F r e e z i n g p o i n t o f p u r e w a t e r (T_{f}^{°}) = 0 ° C (f r o m l i t e r a t u r e) F r e e z i n g p o i n t o f s o l u t i o n (T_{f}) = 10^{0} C D i f f e r e n c e i n f r e e z i n g p o i n t (∆ T_{f}) = T_{f} - T_{f}^{°} = 10 ° C - 0 ° C = 10 ° C$

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