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(SHOW CALCULATION) At 20.0°C, the vapor pressure of water is 17.5 torr. At what temperature will the vapor pressure of water be 118.0 torr? The AHvap of water is 40.7 kJ/mol.

(SHOW CALCULATION) At 20.0°C, the vapor pressure of water is 17.5 torr. At what temperature will the vapor pressure of water be 118.0 torr? The AHvap of water is 40.7 kJ/mol.

Chemistry
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
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**Vapor Pressure and Temperature Calculation** At 20.0°C, the vapor pressure of water is 17.5 torr. At what temperature will the vapor pressure of water be 118.0 torr? The ΔH_vap of water is 40.7 kJ/mol. **Show Calculation:** To solve this, you will use the Clausius-Clapeyron equation: \[ \ln \left( \frac{P_2}{P_1} \right) = \frac{\Delta H_{vap}}{R} \left( \frac{1}{T_1} - \frac{1}{T_2} \right) \] where: - \(P_1\) and \(P_2\) are the initial and final pressures (17.5 torr and 118.0 torr respectively), - ΔH_vap is the enthalpy of vaporization (40.7 kJ/mol), - R is the universal gas constant (8.314 J/mol·K), and - \(T_1\) and \(T_2\) are the initial (20.0°C) and final temperatures in Kelvin.
Transcribed Image Text:**Vapor Pressure and Temperature Calculation** At 20.0°C, the vapor pressure of water is 17.5 torr. At what temperature will the vapor pressure of water be 118.0 torr? The ΔH_vap of water is 40.7 kJ/mol. **Show Calculation:** To solve this, you will use the Clausius-Clapeyron equation: \[ \ln \left( \frac{P_2}{P_1} \right) = \frac{\Delta H_{vap}}{R} \left( \frac{1}{T_1} - \frac{1}{T_2} \right) \] where: - \(P_1\) and \(P_2\) are the initial and final pressures (17.5 torr and 118.0 torr respectively), - ΔH_vap is the enthalpy of vaporization (40.7 kJ/mol), - R is the universal gas constant (8.314 J/mol·K), and - \(T_1\) and \(T_2\) are the initial (20.0°C) and final temperatures in Kelvin.
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