1. A rigid tank of volume 0.5 m³ is connected to a piston-cylinder assembly by a valve as shown below. Both vessels contain pure water. They are immersed in a constant temperature bath at 200 °C and 600 kPa. Consider the tank and the piston cylinder assembly as the system and the constant temperature bath as the surroundings. Initially the valve is closed and both units are in equilibrium with the surroundings (the bath). The rigid tank contains saturated water with a quality of 95% (i.e., 95% of the mass of water is vapor). The piston cylinder assembly initially has a volume of 0.1 m³. Surroundings V = 0.5 m³ quality = 95% Pure H₂O Temparature bath TB = 200 °C P = 600 kPa H₂O V initial 0.1 m3 The valve is then opened. water flows into the piston-cylinder until equilibrium is obtained. For this process, determine, the work done, W, by the piston, the change in internal energy, AU, of the system, and the heat transferred, Q.
1. A rigid tank of volume 0.5 m³ is connected to a piston-cylinder assembly by a valve as shown below. Both vessels contain pure water. They are immersed in a constant temperature bath at 200 °C and 600 kPa. Consider the tank and the piston cylinder assembly as the system and the constant temperature bath as the surroundings. Initially the valve is closed and both units are in equilibrium with the surroundings (the bath). The rigid tank contains saturated water with a quality of 95% (i.e., 95% of the mass of water is vapor). The piston cylinder assembly initially has a volume of 0.1 m³. Surroundings V = 0.5 m³ quality = 95% Pure H₂O Temparature bath TB = 200 °C P = 600 kPa H₂O V initial 0.1 m3 The valve is then opened. water flows into the piston-cylinder until equilibrium is obtained. For this process, determine, the work done, W, by the piston, the change in internal energy, AU, of the system, and the heat transferred, Q.
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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Transcribed Image Text:### Problem Statement
1. A rigid tank of volume 0.5 m³ is connected to a piston-cylinder assembly by a valve as shown below. Both vessels contain pure water. They are immersed in a constant temperature bath at 200 °C and 600 kPa. Consider the tank and the piston-cylinder assembly as the system and the constant temperature bath as the surroundings. Initially, the valve is closed and both units are in equilibrium with the surroundings (the bath). The rigid tank contains saturated water with a quality of 95% (i.e., 95% of the mass of water is vapor). The piston-cylinder assembly initially has a volume of 0.1 m³.
**Diagram Explanation:**
- **Left Side (Tank):**
- Label: "Pure H₂O"
- Volume: \( V = 0.5 \, \text{m}^3 \)
- Quality: 95%
- **Right Side (Piston-Cylinder):**
- Volume: \( V_{\text{initial}} = 0.1 \, \text{m}^3 \)
- **Surroundings:**
- Temperature, \( T_B = 200 \, \text{°C} \)
- Pressure, \( P = 600 \, \text{kPa} \)
### Process Description
The valve is then opened, and water flows into the piston-cylinder until equilibrium is obtained. For this process, determine the work done (\( W \)), the change in internal energy (\( \Delta U \)), and the heat transferred (\( Q \)) for the system.
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