Answered: what mass, in grams, of NaCl needs to…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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what mass, in grams, of NaCl needs to be added to 2.1 kg of water in order to create a solution with a freezing point of -5.2 degrees celsius? The freezing point depression constant of water is 1.86 degree celsius/ m.

Expert Solution

Step 1 Depression in Freezing point

Depression in Freezing point : It is a colligative property. it states that when a non volatile solute is added to pure solvent, the freezing point of solution gets more lower as compare to pure Solvent.

It is given by formula

$∆ T_{f} = i k_{f} m i = v a n' t h o f f f a c t o r k_{f} = C r y o s c o p i c c o n s \tan t m = m o l a l i t y o f s o l u t i o n m = \frac{n o o f m o l e s o f S o l u t e}{m a s s o f s o l v e n t (k g)} m = \frac{\frac{G i v e n m a s s o f S o l u t e}{M o l a r M a s s o f S o l u t e}}{m a s s o f s o l v e n t (k g)} ∆ T_{f} = i k_{f} \frac{\frac{G i v e n m a s s o f S o l u t e}{M o l a r M a s s o f S o l u t e}}{m a s s o f s o l v e n t (k g)} G i v e n m a s s o f S o l u t e = \frac{M o l a r m a s s o f S o l u t e * M a s s o f S o l v e n t * ∆ T_{f}}{i k_{f}}$

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