
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![**Vapor Pressure in Binary Solutions**
The vapor pressures of the components, \( A \) and \( B \), in a binary solution have been modeled and found to obey the following equations:
\[
P_A = \chi_A P_A^* \exp(\chi_B^2)
\]
\[
P_B = \chi_B P_B^* \exp(\chi_A^2)
\]
where \( \chi_A \) and \( \chi_B \) are the mole fractions, and \( P_A^* \) and \( P_B^* \) are the vapor pressures of each pure substance.
### Problems
**(a)** If \( P_A^* = 0.175 \, \text{bar} \) and \( P_B^* = 0.126 \, \text{bar} \), compute the total vapor pressure (in bars) of the mixture when \( \chi_B = 0.68 \).
**(b)** Assuming that the vapor is an ideal gas, what are the mole fractions of each component in the vapor phase?](https://content.bartleby.com/qna-images/question/3c924432-5356-4d2a-9799-f03f3a53c4ab/aa992869-7bc0-4acd-a4fa-77abaf08dc56/kkk4fjq_thumbnail.png)
Transcribed Image Text:**Vapor Pressure in Binary Solutions**
The vapor pressures of the components, \( A \) and \( B \), in a binary solution have been modeled and found to obey the following equations:
\[
P_A = \chi_A P_A^* \exp(\chi_B^2)
\]
\[
P_B = \chi_B P_B^* \exp(\chi_A^2)
\]
where \( \chi_A \) and \( \chi_B \) are the mole fractions, and \( P_A^* \) and \( P_B^* \) are the vapor pressures of each pure substance.
### Problems
**(a)** If \( P_A^* = 0.175 \, \text{bar} \) and \( P_B^* = 0.126 \, \text{bar} \), compute the total vapor pressure (in bars) of the mixture when \( \chi_B = 0.68 \).
**(b)** Assuming that the vapor is an ideal gas, what are the mole fractions of each component in the vapor phase?
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