A piston-cylinder device initially contains 0.4 m^3 of saturated water vapor at a pressure of 200 kPa.  At this time, a linear spring (K = 150 N/m, no other information about spring provided) is touching the piston, but exerts no force upon it.  Heat is now transferred to the water vapor for 30 minutes through a resistive heater having a current of 10 amperes.  The pressure and volume rise to 300 kPa and  0.6 m^3 while the system lost 10 kJ of heat during this process.  Determine the voltage of the heater.  Show detailed calculations and specify any required values found on thermodynamic tables.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A piston-cylinder device initially contains 0.4 m^3 of saturated water vapor at a pressure of 200 kPa.  At this time, a linear spring (K = 150 N/m, no other information about spring provided) is touching the piston, but exerts no force upon it.  Heat is now transferred to the water vapor for 30 minutes through a resistive heater having a current of 10 amperes.  The pressure and volume rise to 300 kPa and  0.6 m^3 while the system lost 10 kJ of heat during this process.  Determine the voltage of the heater.  Show detailed calculations and specify any required values found on thermodynamic tables.

The image depicts a thermodynamic system featuring a closed container with a piston on top. Inside the container, there is water (H₂O) and a coiled heating element. 

### Components:

1. **Piston**: Positioned at the top, allowing for volume changes inside the container. 

2. **Water (H₂O)**: Inside the container, serving as the working fluid.

3. **Coiled Heating Element**: Immersed in the water to transfer heat to it. The element is likely part of an experiment or process to change the water's energy state.

4. **Arrows and Labels**:
   - **Wₑ (Work input)**: Arrow pointing towards the system, indicating the work done on the system, likely by moving the piston or activating the heating element.
   - **Q_out (Heat output)**: An arrow pointing outwards from the system, depicting the heat being lost or expelled from the system.

### Explanation:

This setup can be used to study the effects of heating on water in a closed system, analyzing changes in temperature, phase transitions, or pressure conditions. The system allows for controlled experiments in thermodynamics, focusing on energy transfer and work interactions.
Transcribed Image Text:The image depicts a thermodynamic system featuring a closed container with a piston on top. Inside the container, there is water (H₂O) and a coiled heating element. ### Components: 1. **Piston**: Positioned at the top, allowing for volume changes inside the container. 2. **Water (H₂O)**: Inside the container, serving as the working fluid. 3. **Coiled Heating Element**: Immersed in the water to transfer heat to it. The element is likely part of an experiment or process to change the water's energy state. 4. **Arrows and Labels**: - **Wₑ (Work input)**: Arrow pointing towards the system, indicating the work done on the system, likely by moving the piston or activating the heating element. - **Q_out (Heat output)**: An arrow pointing outwards from the system, depicting the heat being lost or expelled from the system. ### Explanation: This setup can be used to study the effects of heating on water in a closed system, analyzing changes in temperature, phase transitions, or pressure conditions. The system allows for controlled experiments in thermodynamics, focusing on energy transfer and work interactions.
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