I have an exam im studying for: can color coded make me an example of clausisus clapeyron examples on solving for T1, T2, P1, P2 and delta H vap. I dont understand the math part im really bad. Plz help much appreciated.
I have an exam im studying for: can color coded make me an example of clausisus clapeyron examples on solving for T1, T2, P1, P2 and delta H vap. I dont understand the math part im really bad. Plz help much appreciated.
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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I have an exam im studying for: can color coded make me an example of clausisus clapeyron examples on solving for T1, T2, P1, P2 and delta H vap. I dont understand the math part im really bad. Plz help much appreciated.
![The image shows a mathematical equation commonly used in physical chemistry, specifically to relate vapor pressure at different temperatures. This is the Clausius-Clapeyron equation expressed in its logarithmic form:
\[ \ln\left(\frac{P_1}{P_2}\right) = \frac{\Delta H_{\text{vap}}}{R} \left(\frac{1}{T_2} - \frac{1}{T_1}\right) \]
Below the general form, the equation is applied with specific values:
\[ \ln\left(\frac{760 \ \text{Torr}}{253 \ \text{Torr}}\right) = \frac{40,653 \ \text{J/mol}}{8.3144 \ \text{J K}^{-1} \text{mol}^{-1}} \left(\frac{1}{T_2} - \frac{1}{373.15 \ \text{K}}\right) \]
### Explanation:
- **\( P_1 \) and \( P_2 \):** These are vapor pressures at temperatures \( T_1 \) and \( T_2 \).
- **\( \Delta H_{\text{vap}} \):** The enthalpy of vaporization, expressed in Joules per mole (J/mol).
- **\( R \):** The ideal gas constant, which is 8.3144 J/(K·mol).
- **\( T_1 \) and \( T_2 \):** Temperatures in Kelvin.
### Context:
This equation helps in calculating the change in vapor pressure with temperature changes, a critical aspect in understanding phase diagrams and the thermodynamics of phase transitions. The calculation shown uses values in Torr for pressure and Kelvin for temperature. The enthalpy of vaporization and gas constant are given in standard SI units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08bb2a94-da17-43f2-90ab-4ad444df37b3%2Fb0a6c838-f5bd-483a-8ac4-7b55b21e5b65%2Fafof25i_processed.png&w=3840&q=75)
Transcribed Image Text:The image shows a mathematical equation commonly used in physical chemistry, specifically to relate vapor pressure at different temperatures. This is the Clausius-Clapeyron equation expressed in its logarithmic form:
\[ \ln\left(\frac{P_1}{P_2}\right) = \frac{\Delta H_{\text{vap}}}{R} \left(\frac{1}{T_2} - \frac{1}{T_1}\right) \]
Below the general form, the equation is applied with specific values:
\[ \ln\left(\frac{760 \ \text{Torr}}{253 \ \text{Torr}}\right) = \frac{40,653 \ \text{J/mol}}{8.3144 \ \text{J K}^{-1} \text{mol}^{-1}} \left(\frac{1}{T_2} - \frac{1}{373.15 \ \text{K}}\right) \]
### Explanation:
- **\( P_1 \) and \( P_2 \):** These are vapor pressures at temperatures \( T_1 \) and \( T_2 \).
- **\( \Delta H_{\text{vap}} \):** The enthalpy of vaporization, expressed in Joules per mole (J/mol).
- **\( R \):** The ideal gas constant, which is 8.3144 J/(K·mol).
- **\( T_1 \) and \( T_2 \):** Temperatures in Kelvin.
### Context:
This equation helps in calculating the change in vapor pressure with temperature changes, a critical aspect in understanding phase diagrams and the thermodynamics of phase transitions. The calculation shown uses values in Torr for pressure and Kelvin for temperature. The enthalpy of vaporization and gas constant are given in standard SI units.
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I have an exam im studying for: can color coded make me an example of clausisus clapeyron examples on solving for T1, T2, P1, P2 and delta H vap. I dont understand the math part im really bad. Plz help much appreciated.
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