(a) Derive the integrated form of Clausius-Clapeyron equation applicable to vaporization, 1 In (2²) G Hvap R - (1/2), T2 (this equation relates the vapor pressures of liquid p₁ and p2 at temperatures T₁ and T2, respectively) by starting from the differential form that we obtained in class: dlnp_AH vap dT RT² (b) The vapor pressure of a substance at 20 °C is 58.0 kPa and its enthalpy of vaporization is 37.2 kJ mol-¹. Estimate the temperature at which its vapor pressure is 66.0 kPa. NOTE: Do not confuse the vapor pressure with the atmospheric pressure. If at temper- ature T the vapor pressure is p then the liquid and vapor are in equilibrium at those temperature and pressure. If the atmospheric pressure Patm is greater than the vapor pressure p then the liquid will not be boiling. Only when Patm = p, the liquid will be at its boiling point.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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(a) Derive the integrated form of Clausius-Clapeyron equation applicable to vaporization,
AH vap
R
(₁
T₂
In (1²)= (-/-/-).
(this equation relates the vapor pressures of liquid p₁ and på at temperatures T₁ and T2,
respectively) by starting from the differential form that we obtained in class:
dlnp_^Hvap
dT
RT²
(b) The vapor pressure of a substance at 20°C is 58.0 kPa and its enthalpy of vaporization
is 37.2 kJ mol-¹. Estimate the temperature at which its vapor pressure is 66.0 kPa.
NOTE: Do not confuse the vapor pressure with the atmospheric pressure. If at temper-
ature T the vapor pressure is p then the liquid and vapor are in equilibrium at those
temperature and pressure. If the atmospheric pressure Patm is greater than the vapor
pressure p then the liquid will not be boiling. Only when Patm = p, the liquid will be at
its boiling point.
Transcribed Image Text:(a) Derive the integrated form of Clausius-Clapeyron equation applicable to vaporization, AH vap R (₁ T₂ In (1²)= (-/-/-). (this equation relates the vapor pressures of liquid p₁ and på at temperatures T₁ and T2, respectively) by starting from the differential form that we obtained in class: dlnp_^Hvap dT RT² (b) The vapor pressure of a substance at 20°C is 58.0 kPa and its enthalpy of vaporization is 37.2 kJ mol-¹. Estimate the temperature at which its vapor pressure is 66.0 kPa. NOTE: Do not confuse the vapor pressure with the atmospheric pressure. If at temper- ature T the vapor pressure is p then the liquid and vapor are in equilibrium at those temperature and pressure. If the atmospheric pressure Patm is greater than the vapor pressure p then the liquid will not be boiling. Only when Patm = p, the liquid will be at its boiling point.
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