2 kg of water vapor in a piston-cylinder assembly expands at a constant pressure of 300 kPa (3.0 Bar) from a saturated vapor state to a volume of 2.064 m³. a. Determine the initial temperature, in °C b. Determine the final temperature, in °C c. Determine the work for the process, in kJ. Water p = constant = 3.0 bar V22.064 m³ m = 2 kg State 1-2: Isochoric Process

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Transcription for Educational Website**

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**Problem Statement:**

A 2 kg mass of water vapor in a piston-cylinder assembly expands at a constant pressure of 300 kPa (3.0 Bar) from a saturated vapor state to a volume of 2.064 m³.

Tasks:
a. Determine the initial temperature, in °C.
b. Determine the final temperature, in °C.
c. Determine the work for the process, in kJ.

---

**Diagram Explanation:**

The image includes a schematic representation of the piston-cylinder system. In the diagram:

- The piston is shown as a movable boundary on the right side, enabling work to be done during expansion or compression.
- Within the cylinder, the substance is labeled as "Water," indicating the fluid inside.
- The diagram specifies the process between States 1 and 2 as an "Isochoric Process," which typically implies a constant volume; however, the problem states expansion at constant pressure. This may indicate a misunderstanding in the diagram labeling since the problem clearly outlines a constant pressure process.

Details highlighted in the diagram:
- **Pressure (p):** Constant at 3.0 bar
- **Final Volume (V₂):** 2.064 m³
- **Mass (m):** 2 kg

These parameters are essential for solving the problem as they help in calculating the required thermodynamic properties.

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Transcribed Image Text:**Transcription for Educational Website** --- **Problem Statement:** A 2 kg mass of water vapor in a piston-cylinder assembly expands at a constant pressure of 300 kPa (3.0 Bar) from a saturated vapor state to a volume of 2.064 m³. Tasks: a. Determine the initial temperature, in °C. b. Determine the final temperature, in °C. c. Determine the work for the process, in kJ. --- **Diagram Explanation:** The image includes a schematic representation of the piston-cylinder system. In the diagram: - The piston is shown as a movable boundary on the right side, enabling work to be done during expansion or compression. - Within the cylinder, the substance is labeled as "Water," indicating the fluid inside. - The diagram specifies the process between States 1 and 2 as an "Isochoric Process," which typically implies a constant volume; however, the problem states expansion at constant pressure. This may indicate a misunderstanding in the diagram labeling since the problem clearly outlines a constant pressure process. Details highlighted in the diagram: - **Pressure (p):** Constant at 3.0 bar - **Final Volume (V₂):** 2.064 m³ - **Mass (m):** 2 kg These parameters are essential for solving the problem as they help in calculating the required thermodynamic properties. ---
Expert Solution
Step 1: Given

Mechanical Engineering homework question answer, step 1, image 1

The mass of water vapor is m equals 2 space k g.

The pressure is P equals 3 space b a r.

The final volume is V subscript 2 equals 2.064 space m cubed.

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