Answered: 13.) The vapor pressure of water at…

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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13.) The vapor pressure of water at 31°C is 33.4 mmHg. Calculate the vapor pressure of water over a solution prepared from allowing 2.00 × 10^2 g of sucrose (C12H22O11) to dissolve in 3.50 × 10^2 g water at 31°C?

Expert Solution

Step 1

Raoult's law states that the vapour pressure of solution (P_solution) is directly proportional to the mole fraction of solvent (X_solvent).

$P_{s o l u t i o n} = X_{s o l v e n t} . {(P °)}_{s o l v e n t} w h e r e, {(P °)}_{solvent} i s t h e p u r e v a p o u r p r e s s u r e o f t h e s o l v e n t .$

$X_{solvent} = \frac{n_{s o l v e n t}}{n_{s o l v e n t} + n_{s o l u t e}} w h e r e, n_{s o l v e n t} i s t h e n u m b e r o f m o l e s o f s o l v e n t n_{s o l u t e} i s t h e n u m b e r o f m o l e s o f s o l u t e$

$n u m b e r o f m o l e s (n) = \frac{m a s s o f c o m p o u n d (i n g)}{m o l a r m a s s o f c o m p o u n d (i n g / m o l)}$
Vapour pressure of solution is lower than the vapour pressure of pure solvent.

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