Using image below Evaluate the exergy X1 of the initial state 1 and answer the following question: • Is the useful work in the process 1 → 2 → DS smaller, equal, or greater than exergy X1? • Discuss your result

Elements Of Electromagnetics
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Using image below Evaluate the exergy X1 of the initial state 1 and answer the following question: • Is the useful work in the process 1 → 2 → DS smaller, equal, or greater than exergy X1? • Discuss your result
**Thermodynamics System Analysis**

Consider a piston-cylinder device containing \( m = 1 \, \text{kg} \) of air at the initial temperature \( T_1 = 900 \, \text{K} \) and pressure \( P_1 = 895 \, \text{kPa} \) (state 1). The ambient temperature and pressure are maintained at \( T^{(e)} = 300 \, \text{K} \) and \( P^{(e)} = 100 \, \text{kPa} \). The air expands in a reversible adiabatic process until the air pressure reaches the ambient pressure \( P^{(e)} \) (the intermediate state 2). Subsequently, the system undergoes an isobaric process until it reaches the dead state DS.

**Explanation of Processes:**

1. **Reversible Adiabatic Process:**
   - The system expands without heat transfer.
   - During this process, the work done by the system results in a decrease in internal energy, causing the temperature to drop until the pressure equals the ambient pressure \( P^{(e)} \).

2. **Isobaric Process:**
   - The pressure remains constant as the system continues to change until reaching the dead state.
   - The system exchanges heat with the surroundings to reach equilibrium at the ambient temperature.

This educational description highlights the key processes for students studying thermodynamics and energy systems.
Transcribed Image Text:**Thermodynamics System Analysis** Consider a piston-cylinder device containing \( m = 1 \, \text{kg} \) of air at the initial temperature \( T_1 = 900 \, \text{K} \) and pressure \( P_1 = 895 \, \text{kPa} \) (state 1). The ambient temperature and pressure are maintained at \( T^{(e)} = 300 \, \text{K} \) and \( P^{(e)} = 100 \, \text{kPa} \). The air expands in a reversible adiabatic process until the air pressure reaches the ambient pressure \( P^{(e)} \) (the intermediate state 2). Subsequently, the system undergoes an isobaric process until it reaches the dead state DS. **Explanation of Processes:** 1. **Reversible Adiabatic Process:** - The system expands without heat transfer. - During this process, the work done by the system results in a decrease in internal energy, causing the temperature to drop until the pressure equals the ambient pressure \( P^{(e)} \). 2. **Isobaric Process:** - The pressure remains constant as the system continues to change until reaching the dead state. - The system exchanges heat with the surroundings to reach equilibrium at the ambient temperature. This educational description highlights the key processes for students studying thermodynamics and energy systems.
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