Wet steam is water vapor containing droplets of liquid water. Steam quality defines the fraction of wet steam that is in the vapor phase. To dry steam (i.e., evaporate liquid droplets), wet steam (quality = 0.89) is heated isothermally. The pressure of the wet steam is 4.8 bar and the flow rate of the dried steam is 0.488 m³/s. Determine the temperature (°C) at which the isothermal process occurs. Determine the specific enthalpy of the wet steam and the dry steam (kJ/kg). Determine the heat input (kW) required for the drying process.
Wet steam is water vapor containing droplets of liquid water. Steam quality defines the fraction of wet steam that is in the vapor phase. To dry steam (i.e., evaporate liquid droplets), wet steam (quality = 0.89) is heated isothermally. The pressure of the wet steam is 4.8 bar and the flow rate of the dried steam is 0.488 m³/s. Determine the temperature (°C) at which the isothermal process occurs. Determine the specific enthalpy of the wet steam and the dry steam (kJ/kg). Determine the heat input (kW) required for the drying process.
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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![**Understanding Wet Steam and the Drying Process**
Wet steam is water vapor containing droplets of liquid water. Steam quality defines the fraction of wet steam that is in the vapor phase. To dry steam (i.e., evaporate liquid droplets), wet steam (quality = 0.89) is heated isothermally. The pressure of the wet steam is 4.8 bar and the flow rate of the dried steam is 0.488 m³/s.
**Tasks:**
1. **Determine the temperature (°C) at which the isothermal process occurs.**
2. **Determine the specific enthalpy of the wet steam and the dry steam (kJ/kg).**
3. **Determine the heat input (kW) required for the drying process.**
**Detailed Explanations:**
- **Temperature Determination (°C):** Identify the temperature at which the steam pressure is 4.8 bar. This typically involves referring to steam tables to find the corresponding saturation temperature for the given pressure.
- **Specific Enthalpy Calculation (kJ/kg):** Calculate specific enthalpy for both wet steam and dry steam. Utilize steam tables to obtain the specific enthalpy values for the saturated liquid and vapor phases, then employ the formula for calculating the specific enthalpy of the wet steam:
\[
h_{wet} = x \cdot h_g + (1-x) \cdot h_f
\]
where \( x \) is the steam quality, \( h_g \) is the specific enthalpy of the saturated vapor, and \( h_f \) is the specific enthalpy of the saturated liquid.
- **Heat Input Calculation (kW):** Determine the heat input required to transform the wet steam to dry steam. This can be found using the flow rate and the change in enthalpy from wet to dry steam:
\[
\dot{Q} = \dot{m} \cdot (h_{dry} - h_{wet})
\]
Here, \( \dot{m} \) is the mass flow rate, which can be calculated from the volumetric flow rate and the specific volume.
By following these guidelines, you can accurately determine the temperature, specific enthalpy, and heat input needed for the drying process of steam.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10115ea5-5f0e-4fb5-b400-8bf897ed7680%2Fecf74c3c-b1a9-4e3c-9ff4-76d67cabc4b4%2Fziiwjcq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Wet Steam and the Drying Process**
Wet steam is water vapor containing droplets of liquid water. Steam quality defines the fraction of wet steam that is in the vapor phase. To dry steam (i.e., evaporate liquid droplets), wet steam (quality = 0.89) is heated isothermally. The pressure of the wet steam is 4.8 bar and the flow rate of the dried steam is 0.488 m³/s.
**Tasks:**
1. **Determine the temperature (°C) at which the isothermal process occurs.**
2. **Determine the specific enthalpy of the wet steam and the dry steam (kJ/kg).**
3. **Determine the heat input (kW) required for the drying process.**
**Detailed Explanations:**
- **Temperature Determination (°C):** Identify the temperature at which the steam pressure is 4.8 bar. This typically involves referring to steam tables to find the corresponding saturation temperature for the given pressure.
- **Specific Enthalpy Calculation (kJ/kg):** Calculate specific enthalpy for both wet steam and dry steam. Utilize steam tables to obtain the specific enthalpy values for the saturated liquid and vapor phases, then employ the formula for calculating the specific enthalpy of the wet steam:
\[
h_{wet} = x \cdot h_g + (1-x) \cdot h_f
\]
where \( x \) is the steam quality, \( h_g \) is the specific enthalpy of the saturated vapor, and \( h_f \) is the specific enthalpy of the saturated liquid.
- **Heat Input Calculation (kW):** Determine the heat input required to transform the wet steam to dry steam. This can be found using the flow rate and the change in enthalpy from wet to dry steam:
\[
\dot{Q} = \dot{m} \cdot (h_{dry} - h_{wet})
\]
Here, \( \dot{m} \) is the mass flow rate, which can be calculated from the volumetric flow rate and the specific volume.
By following these guidelines, you can accurately determine the temperature, specific enthalpy, and heat input needed for the drying process of steam.
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