Initially contains Air: P1 = 30 lbf/in^2 T1 = 540 °F V1 = 4 ft^3 Second phase of process involving Air to a final state: P2 = 20 lbf/in^2 V2 = 4.5 ft^3 Wheel transfers energy TO the air by WORK at 1 Btu. Energy transfers TO the air by HEAT at 12 Btu. Ideal Gas Behavior. Determine the energy balance in simplest form. Wp-

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Initial State:**

- **Pressure (P1):** 30 lbf/in²
- **Temperature (T1):** 540 °F
- **Volume (V1):** 4 ft³

**Final State:**

- **Pressure (P2):** 20 lbf/in²
- **Volume (V2):** 4.5 ft³

**Energy Transfers:**

- **Work Done by Wheel on Air:** 1 Btu
- **Heat Added to Air:** 12 Btu

**Ideal Gas Behavior Assumed**

**Objective:**

- **Determine the energy balance in simplest form.**

**Diagram Explanation:**
- The diagram shows a piston-cylinder setup containing air. 
- The piston moves due to work interactions.
- A wheel performs work on the air, indicated as 1 Btu.
- Heat transfer to the air is represented as 12 Btu.
- The forces and energy exchanges are visually indicated with arrows showing initial and final states: 
  - Initial: p1 = 30 lbf/in², V1 = 4 ft³
  - Final: p2 = 20 lbf/in², V2 = 4.5 ft³

This setup is used to analyze the changes in internal energy due to work and heat transfer processes under the assumption of ideal gas behavior.
Transcribed Image Text:**Initial State:** - **Pressure (P1):** 30 lbf/in² - **Temperature (T1):** 540 °F - **Volume (V1):** 4 ft³ **Final State:** - **Pressure (P2):** 20 lbf/in² - **Volume (V2):** 4.5 ft³ **Energy Transfers:** - **Work Done by Wheel on Air:** 1 Btu - **Heat Added to Air:** 12 Btu **Ideal Gas Behavior Assumed** **Objective:** - **Determine the energy balance in simplest form.** **Diagram Explanation:** - The diagram shows a piston-cylinder setup containing air. - The piston moves due to work interactions. - A wheel performs work on the air, indicated as 1 Btu. - Heat transfer to the air is represented as 12 Btu. - The forces and energy exchanges are visually indicated with arrows showing initial and final states: - Initial: p1 = 30 lbf/in², V1 = 4 ft³ - Final: p2 = 20 lbf/in², V2 = 4.5 ft³ This setup is used to analyze the changes in internal energy due to work and heat transfer processes under the assumption of ideal gas behavior.
Expert Solution
Step 1

Given

   Work done, W = 1 Btu

  Heat energy, Q = 12 Btu

Find

  Energy Balance (Internal Energy, U)

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