As shown in the figure below, a system consists of a copper tank whose mass is 12.5 kg, 4 kg of liquid water, and an electrical resistor of negligible mass. The system is insulated on its outer surface. Initially, the temperature of the copper is 27°C and the temperature of the water is 50°C. The electrical resistor transfers 200 kJ of energy to the system. Eventually the system comes to equilibrium. Determine final equilibrium temperature in °C.
As shown in the figure below, a system consists of a copper tank whose mass is 12.5 kg, 4 kg of liquid water, and an electrical resistor of negligible mass. The system is insulated on its outer surface. Initially, the temperature of the copper is 27°C and the temperature of the water is 50°C. The electrical resistor transfers 200 kJ of energy to the system. Eventually the system comes to equilibrium. Determine final equilibrium temperature in °C.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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As shown in the figure below, a system consists of a copper tank whose mass is 12.5 kg, 4 kg of liquid water, and an electrical resistor of negligible mass. The system is insulated on its outer surface. Initially, the temperature of the copper is 27°C and the temperature of the water is 50°C. The electrical resistor transfers 200 kJ of energy to the system. Eventually the system comes to equilibrium. Determine final equilibrium temperature in °C.
Transcribed Image Text:**Diagram Description:**
This diagram illustrates a system for heating liquid water using a resistor and is annotated as follows:
1. **Insulation**: The outermost layer surrounding the system, minimizing heat loss to the environment.
2. **Copper Tank**: This serves as the container for the liquid water and is initially at a temperature of 27°C.
3. **Resistor**: Positioned inside the copper tank, this electrical component is responsible for heating the water when connected to a power source.
4. **Liquid Water**: The water inside the tank has a mass of 4 kg and is initially at a temperature of 50°C.
5. **Electrical Connection**: The resistor is connected to a power source, indicated by the positive (+) and negative (-) terminals, allowing for the flow of electric current to generate heat.
The setup is designed to demonstrate the process of heating liquid water through electrical resistance, highlighting the interaction between electrical and thermal energy within an insulated environment.
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