1. Two heat engines are shown in the figure below. Engine 1 follows the cycle ABCDA and engine 2 follows the cycle ACDA. A B N D Volume If the same amount of heat flows into both engines, then the efficiency of engine 2 A. Is greater than to engine 1 B. Is less than engine 1 OC. Is equal to engine 1 D. Cannot be compared to engine 1. Pressure

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### Understanding Heat Engine Cycles

**Problem: Analyzing Two Heat Engines**

Two heat engines are represented in the figure below. Engine 1 follows the cycle ABCDA, while Engine 2 follows the cycle ACDA.

#### Pressure-Volume Diagram

The diagram below shows the Pressure-Volume (P-V) relationships for the cycles of the two engines:

![Pressure-Volume Diagram](#)

- **X-axis (horizontal):** Volume
- **Y-axis (vertical):** Pressure

#### Description of the Cycles

- **Cycle ABCDA (Engine 1):**
  1. The process starts at point A, moves to point B.
  2. From B, it moves to point C.
  3. From C, it moves to point D.
  4. Finally, it returns from D to point A.

- **Cycle ACDA (Engine 2):**
  1. The process starts at point A, moves directly to point C.
  2. From C, it moves to point D.
  3. Finally, it returns from D to point A.

#### Question on Efficiency

If the same amount of heat flows into both engines, then the efficiency of engine 2:

1. **Options:**
   - A. Is greater than to engine 1
   - B. Is less than engine 1
   - C. Is equal to engine 1
   - D. Cannot be compared to engine 1

Select the correct option based on the given information.

### Further Analysis

To solve this problem, consider the efficiency formulas and the areas enclosed by the respective cycles in the P-V diagram, which represent the work done by the engines.
Transcribed Image Text:### Understanding Heat Engine Cycles **Problem: Analyzing Two Heat Engines** Two heat engines are represented in the figure below. Engine 1 follows the cycle ABCDA, while Engine 2 follows the cycle ACDA. #### Pressure-Volume Diagram The diagram below shows the Pressure-Volume (P-V) relationships for the cycles of the two engines: ![Pressure-Volume Diagram](#) - **X-axis (horizontal):** Volume - **Y-axis (vertical):** Pressure #### Description of the Cycles - **Cycle ABCDA (Engine 1):** 1. The process starts at point A, moves to point B. 2. From B, it moves to point C. 3. From C, it moves to point D. 4. Finally, it returns from D to point A. - **Cycle ACDA (Engine 2):** 1. The process starts at point A, moves directly to point C. 2. From C, it moves to point D. 3. Finally, it returns from D to point A. #### Question on Efficiency If the same amount of heat flows into both engines, then the efficiency of engine 2: 1. **Options:** - A. Is greater than to engine 1 - B. Is less than engine 1 - C. Is equal to engine 1 - D. Cannot be compared to engine 1 Select the correct option based on the given information. ### Further Analysis To solve this problem, consider the efficiency formulas and the areas enclosed by the respective cycles in the P-V diagram, which represent the work done by the engines.
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