Show step by step ### Thermodynamic Processes of AirAir undergoes two processes in series:#### Process 1-2: - **Type:** Polytropic compression - **Polytropic index (n):** 1.2- **Initial pressure (P1):** 140 kPa- **Initial volume (V1):** 0.8 m³- **Final volume (V2):** 0.04 m³#### Process 2-3:- **Type:** Constant pressure process- **Final volume (V3):** V₁ (= 0.8 m³)### Task:- Sketch the process on a Pressure-Volume (P-V) diagram.- Determine the work done from Process 1 to Process 3.### Detailed Guide:1. **P-V Diagram Sketch:** - **Process 1-2** will be a curve showing the polytropic compression from (P1, V1) = (140 kPa, 0.8 m³) to (P2, V2) on the P-V diagram. Since it's a compression, the curve should slope downwards. - **Process 2-3** will be a horizontal line moving from V2 back to V1, indicating a constant pressure process.2. **Determine the Work Done:** - **For Process 1-2 (Polytropic Process):** \[ W_{1-2} = \frac{P_1 V_1 - P_2 V_2}{1 - n} \] - **For Process 2-3 (Constant Pressure):** \[ W_{2-3} = P_3 (V_3 - V_2) \] - **Total Work (W):** \[ W_{total} = W_{1-2} + W_{2-3} \]Make sure to substitute the known values into the formulas to calculate the specific work done in each process.

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Air undergoes two processes in series: Process 1-2: Process 2-3: Polytropic compression, with n = 1.2, from P₁ = 140 kPa, V₁ = 0.8 m² to V₂ = .04 m³ Constant pressure process to V₁ = V₁ Sketch the process the process on a P-V diagram and determine the work from Process 1-3.

Air undergoes two processes in series: Process 1-2: Process 2-3: Polytropic compression, with n = 1.2, from P₁ = 140 kPa, V₁ = 0.8 m² to V₂ = .04 m³ Constant pressure process to V₁ = V₁ Sketch the process the process on a P-V diagram and determine the work from Process 1-3.

Elements Of Electromagnetics

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ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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### Thermodynamic Processes of Air

Air undergoes two processes in series:

#### Process 1-2:
- **Type:** Polytropic compression
- **Polytropic index (n):** 1.2
- **Initial pressure (P1):** 140 kPa
- **Initial volume (V1):** 0.8 m³
- **Final volume (V2):** 0.04 m³

#### Process 2-3:
- **Type:** Constant pressure process
- **Final volume (V3):** V₁ (= 0.8 m³)

### Task:
- Sketch the process on a Pressure-Volume (P-V) diagram.
- Determine the work done from Process 1 to Process 3.

### Detailed Guide:

1. **P-V Diagram Sketch:**
- **Process 1-2** will be a curve showing the polytropic compression from (P1, V1) = (140 kPa, 0.8 m³) to (P2, V2) on the P-V diagram. Since it's a compression, the curve should slope downwards.
- **Process 2-3** will be a horizontal line moving from V2 back to V1, indicating a constant pressure process.

2. **Determine the Work Done:**
- **For Process 1-2 (Polytropic Process):**
\[
W_{1-2} = \frac{P_1 V_1 - P_2 V_2}{1 - n}
\]
- **For Process 2-3 (Constant Pressure):**
\[
W_{2-3} = P_3 (V_3 - V_2)
\]
- **Total Work (W):**
\[
W_{total} = W_{1-2} + W_{2-3}
\]

Make sure to substitute the known values into the formulas to calculate the specific work done in each process.

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