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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![**Section 9.11**
**P9.27** G. Ratcliffe and K. Chao [*Canadian Journal of Chemical Engineering* 47 (1969), 148] obtained the following tabulated results for the variation of the total pressure above a solution of isopropanol \((P_1^* = 1008 \text{ Torr})\) and *n*-decane \((P_2^* = 48.3 \text{ Torr})\) as a function of the mole fraction of the *n*-decane in the solution and vapor phases. Using these data, calculate the activity coefficients for both components using a Raoult’s law standard state.
| \(P\) (Torr) | \(x_2\) | \(y_2\) |
|--------------|---------|---------|
| 942.6 | 0.1312 | 0.0243 |
| 909.6 | 0.2040 | 0.0300 |
| 883.3 | 0.2714 | 0.0342 |
| 868.4 | 0.3360 | 0.0362 |
| 830.2 | 0.4425 | 0.0411 |
| 786.8 | 0.5578 | 0.0451 |
| 758.7 | 0.6036 | 0.0489 |
Explanation: The table presents the total pressure data (\(P\) in Torr) as it relates to the mole fraction of *n*-decane in the liquid phase (\(x_2\)) and vapor phase (\(y_2\)). These values are used to determine the activity coefficients, crucial for understanding the deviation of real solutions from ideal behavior under Raoult’s law.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91025f95-18d0-43cf-b57a-ab0de289a515%2F8d04fd68-b74d-48d0-bf65-c92efe47a6b2%2Fdiazfl4k_processed.png&w=3840&q=75)
Transcribed Image Text:**Section 9.11**
**P9.27** G. Ratcliffe and K. Chao [*Canadian Journal of Chemical Engineering* 47 (1969), 148] obtained the following tabulated results for the variation of the total pressure above a solution of isopropanol \((P_1^* = 1008 \text{ Torr})\) and *n*-decane \((P_2^* = 48.3 \text{ Torr})\) as a function of the mole fraction of the *n*-decane in the solution and vapor phases. Using these data, calculate the activity coefficients for both components using a Raoult’s law standard state.
| \(P\) (Torr) | \(x_2\) | \(y_2\) |
|--------------|---------|---------|
| 942.6 | 0.1312 | 0.0243 |
| 909.6 | 0.2040 | 0.0300 |
| 883.3 | 0.2714 | 0.0342 |
| 868.4 | 0.3360 | 0.0362 |
| 830.2 | 0.4425 | 0.0411 |
| 786.8 | 0.5578 | 0.0451 |
| 758.7 | 0.6036 | 0.0489 |
Explanation: The table presents the total pressure data (\(P\) in Torr) as it relates to the mole fraction of *n*-decane in the liquid phase (\(x_2\)) and vapor phase (\(y_2\)). These values are used to determine the activity coefficients, crucial for understanding the deviation of real solutions from ideal behavior under Raoult’s law.
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