A humid air stream at 50°C and 1.5 bar has a relative humidity of 60%. What is the dew point of this stream? Antoine equation for water (P in bar, T in °C) In(100 P) 16.3872 = - 3885.70 T+230.170 Relative Humidity h₂ = 1 + x x 100% hr
A humid air stream at 50°C and 1.5 bar has a relative humidity of 60%. What is the dew point of this stream? Antoine equation for water (P in bar, T in °C) In(100 P) 16.3872 = - 3885.70 T+230.170 Relative Humidity h₂ = 1 + x x 100% hr
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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![### Problem Statement
**a.** A humid air stream at 50°C and 1.5 bar has a relative humidity of 60%. What is the dew point of this stream?
### Antoine Equation for Water (P in bar, T in °C)
\[
\ln(100 \cdot P) = 16.3872 - \frac{3885.70}{T + 230.170}
\]
### Relative Humidity
\[
h_r = \frac{P_i}{P_i^*} \times 100\%
\]
---
**b.** Estimate the heat of vaporization of ethanol at 75°C using the Clapeyron Equation.
### Given:
\[
P^{\text{sat}} (\text{kPa}) = \exp \left( 16.8958 - \frac{3795.17}{T(K) - 42.23} \right) \quad \text{(Antoine Eqn.)}
\]
\[
\frac{dP^{\text{sat}}}{dT} = \frac{\Delta H_{\text{vap}}}{T \Delta V_{\text{vap}}} \quad \text{(Clapeyron Equation)}
\]
\[
\Delta V_{\text{vap}} = 0.691 \, \frac{m^3}{kg}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8e4ba9c-f4e2-4406-a528-e4a92bd942c6%2F0b4c3931-3648-4954-bba7-0a46061604e2%2Fgg398l8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
**a.** A humid air stream at 50°C and 1.5 bar has a relative humidity of 60%. What is the dew point of this stream?
### Antoine Equation for Water (P in bar, T in °C)
\[
\ln(100 \cdot P) = 16.3872 - \frac{3885.70}{T + 230.170}
\]
### Relative Humidity
\[
h_r = \frac{P_i}{P_i^*} \times 100\%
\]
---
**b.** Estimate the heat of vaporization of ethanol at 75°C using the Clapeyron Equation.
### Given:
\[
P^{\text{sat}} (\text{kPa}) = \exp \left( 16.8958 - \frac{3795.17}{T(K) - 42.23} \right) \quad \text{(Antoine Eqn.)}
\]
\[
\frac{dP^{\text{sat}}}{dT} = \frac{\Delta H_{\text{vap}}}{T \Delta V_{\text{vap}}} \quad \text{(Clapeyron Equation)}
\]
\[
\Delta V_{\text{vap}} = 0.691 \, \frac{m^3}{kg}
\]
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