3.76 As shown in Fig. P3.76, a piston-cylinder assembly fitted with stops contains 0.1 kg of water, initially at 1 MPa, 500°C. The water undergoes two processes in series: Process 1-2: Constant-pressure cooling until the piston face rests against the stops. The volume occupied by the water is then one-half its initial volume. Process 2-3: With the piston face resting against the stops, the water cools to 25°C. Sketch the two processes in series on a p-v diagram. Neglecting kinetic and potential energy effects, evaluate for each process the work and heat transfer, each in kJ.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Problem 3.76

A piston-cylinder assembly fitted with stops contains 0.1 kg of water, initially at 1 MPa, 500°C. The water undergoes two processes in series:

#### Process 1–2
Constant-pressure cooling occurs until the piston face rests against the stops. The volume occupied by the water becomes one-half of its initial volume.

#### Process 2–3
With the piston face resting against the stops, the water cools to 25°C.

**Task:**
Sketch the two processes in series on a \( p-v \) (pressure-volume) diagram. Neglecting kinetic and potential energy effects, evaluate the work and heat transfer for each process, measured in kJ.

#### Explanation of Diagrams
- Illustrate Process 1–2 as a horizontal line on the \( p-v \) diagram, signifying constant pressure while the volume decreases to half.
- Show Process 2–3 as a vertical line at constant volume, indicating the cooling of water at the stops.

Evaluate the work done and heat transfer for each process separately.
Transcribed Image Text:### Problem 3.76 A piston-cylinder assembly fitted with stops contains 0.1 kg of water, initially at 1 MPa, 500°C. The water undergoes two processes in series: #### Process 1–2 Constant-pressure cooling occurs until the piston face rests against the stops. The volume occupied by the water becomes one-half of its initial volume. #### Process 2–3 With the piston face resting against the stops, the water cools to 25°C. **Task:** Sketch the two processes in series on a \( p-v \) (pressure-volume) diagram. Neglecting kinetic and potential energy effects, evaluate the work and heat transfer for each process, measured in kJ. #### Explanation of Diagrams - Illustrate Process 1–2 as a horizontal line on the \( p-v \) diagram, signifying constant pressure while the volume decreases to half. - Show Process 2–3 as a vertical line at constant volume, indicating the cooling of water at the stops. Evaluate the work done and heat transfer for each process separately.
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