Using the following information, determine the vapor pressure of water at 300 °C. Note: We started this problem in week 6 lecture 3. Please refer to the lecture to get started on this problem. You only need to show your work starting from where the lecture left off. H₂0 at T = 179.88 degrees C the vapor pressure is PSAT = 10 bar. The enthalpy of vaporization is 2014.59 kJ/kg V = 0.1944 m³/kg V¹ = 0.001127 m³/kg The equation we left off on in class was, 1 [²² pi psat dpsat 1 AvapH [Tf 1 RAZ dT Tz dr Ti T²

Elements Of Electromagnetics
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**Determining Vapor Pressure of Water at 300°C**

To determine the vapor pressure of water at 300°C using the following information:

- **H₂O at T = 179.88°C**
- **Vapor pressure (\(p^{\text{SAT}}\)) = 10 bar**

Additional data provided:
- **Enthalpy of vaporization (\(\Delta_{\text{vap}} H\)) = 2014.59 kJ/kg**
- **Specific volume of vapor (\(V^v\)) = 0.1944 m³/kg**
- **Specific volume of liquid (\(V^l\)) = 0.001127 m³/kg**

In class, the lecture left off on the following equation:

\[
\int_{p_i}^{p_f} \frac{1}{p^{\text{sat}}} \, dp^{\text{sat}} = \frac{1}{R} \frac{\Delta_{\text{vap}} H}{\Delta Z} \int_{T_i}^{T_f} \frac{1}{T^2} \, dT
\]

This equation is used to analyze and calculate the vapor pressure at the specified temperature, by considering the provided thermodynamic properties. Please ensure to continue from the outlined equation for solving the problem.
Transcribed Image Text:**Determining Vapor Pressure of Water at 300°C** To determine the vapor pressure of water at 300°C using the following information: - **H₂O at T = 179.88°C** - **Vapor pressure (\(p^{\text{SAT}}\)) = 10 bar** Additional data provided: - **Enthalpy of vaporization (\(\Delta_{\text{vap}} H\)) = 2014.59 kJ/kg** - **Specific volume of vapor (\(V^v\)) = 0.1944 m³/kg** - **Specific volume of liquid (\(V^l\)) = 0.001127 m³/kg** In class, the lecture left off on the following equation: \[ \int_{p_i}^{p_f} \frac{1}{p^{\text{sat}}} \, dp^{\text{sat}} = \frac{1}{R} \frac{\Delta_{\text{vap}} H}{\Delta Z} \int_{T_i}^{T_f} \frac{1}{T^2} \, dT \] This equation is used to analyze and calculate the vapor pressure at the specified temperature, by considering the provided thermodynamic properties. Please ensure to continue from the outlined equation for solving the problem.
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