b. Estimate the heat of vaporization of ethanol at 75°C using the Clapeyron Equation.
b. Estimate the heat of vaporization of ethanol at 75°C using the Clapeyron Equation.
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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![## Estimating the Heat of Vaporization of Ethanol at 75°C
To estimate the heat of vaporization of ethanol at 75°C, we will use the Clapeyron Equation. This involves the following components:
### Given:
1. **Antoine Equation:**
\[
P^{\text{sat}} (kPa) = \exp\left( 16.8958 - \frac{3795.17}{T(K) - 42.23} \right)
\]
2. **Clapeyron Equation:**
\[
\frac{dP^{\text{sat}}}{dT} = \frac{\Delta H^{\text{vap}}}{T \Delta V^{\text{vap}}}
\]
3. **Specific Volume Change:**
\[
\Delta V^{\text{vap}} = 0.691 \, \frac{m^3}{kg}
\]
These equations and values will help calculate the heat of vaporization, \(\Delta H^{\text{vap}}\), for ethanol at the specified temperature.
- **Antoine Equation**: Provides the saturation pressure based on temperature.
- **Clapeyron Equation**: Relates the change in saturation pressure with temperature to the heat of vaporization and change in specific volume.
- The specific volume change is given, which will be used in the calculations.
Understanding these equations allows for the estimation of thermodynamic properties essential for various engineering and scientific applications.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8e4ba9c-f4e2-4406-a528-e4a92bd942c6%2F4eaf2ab7-3b6f-4e96-8eed-9987b9533864%2Ffle8be_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Estimating the Heat of Vaporization of Ethanol at 75°C
To estimate the heat of vaporization of ethanol at 75°C, we will use the Clapeyron Equation. This involves the following components:
### Given:
1. **Antoine Equation:**
\[
P^{\text{sat}} (kPa) = \exp\left( 16.8958 - \frac{3795.17}{T(K) - 42.23} \right)
\]
2. **Clapeyron Equation:**
\[
\frac{dP^{\text{sat}}}{dT} = \frac{\Delta H^{\text{vap}}}{T \Delta V^{\text{vap}}}
\]
3. **Specific Volume Change:**
\[
\Delta V^{\text{vap}} = 0.691 \, \frac{m^3}{kg}
\]
These equations and values will help calculate the heat of vaporization, \(\Delta H^{\text{vap}}\), for ethanol at the specified temperature.
- **Antoine Equation**: Provides the saturation pressure based on temperature.
- **Clapeyron Equation**: Relates the change in saturation pressure with temperature to the heat of vaporization and change in specific volume.
- The specific volume change is given, which will be used in the calculations.
Understanding these equations allows for the estimation of thermodynamic properties essential for various engineering and scientific applications.
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