A plot of In Pversus 1/T for a vaporization process should show... O A) ... a quadratic relationship. B) a linear relationship. C) none of the listed relationships. ... D) an exponential relationship.

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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### Question: Relationship Between ln P and 1/T in a Vaporization Process

A plot of \( \ln P \) versus \( \frac{1}{T} \) for a vaporization process should show...

**Answer Options:**
- A) ... a quadratic relationship.
- B) ... a linear relationship.
- C) ... none of the listed relationships.
- D) ... an exponential relationship.

### Explanation:

This question assesses your understanding of the Clausius-Clapeyron equation, which describes the phase transition between liquid and vapor. The equation typically shows that a plot of \( \ln P \) (the natural logarithm of pressure) versus \( \frac{1}{T} \) (the inverse of temperature in Kelvin) will yield a straight line. This linear relationship is crucial in thermodynamics and physical chemistry. 

When analyzing \( \ln P \) versus \( \frac{1}{T} \):
- If the plot is linear, it indicates that the vapor pressure of a liquid near its boiling point follows the Clausius-Clapeyron equation.
- The slope of the line can be used to determine the enthalpy of vaporization.

Therefore, the correct answer is **B) a linear relationship**.
Transcribed Image Text:### Question: Relationship Between ln P and 1/T in a Vaporization Process A plot of \( \ln P \) versus \( \frac{1}{T} \) for a vaporization process should show... **Answer Options:** - A) ... a quadratic relationship. - B) ... a linear relationship. - C) ... none of the listed relationships. - D) ... an exponential relationship. ### Explanation: This question assesses your understanding of the Clausius-Clapeyron equation, which describes the phase transition between liquid and vapor. The equation typically shows that a plot of \( \ln P \) (the natural logarithm of pressure) versus \( \frac{1}{T} \) (the inverse of temperature in Kelvin) will yield a straight line. This linear relationship is crucial in thermodynamics and physical chemistry. When analyzing \( \ln P \) versus \( \frac{1}{T} \): - If the plot is linear, it indicates that the vapor pressure of a liquid near its boiling point follows the Clausius-Clapeyron equation. - The slope of the line can be used to determine the enthalpy of vaporization. Therefore, the correct answer is **B) a linear relationship**.
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