College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The hot reservoir for a Carnot engine has a temperature of 904 K, while the cold reservoir has a temperature of 314 K. The heat input for this engine is 4210 J. The 314-K reservoir also serves as the hot reservoir for a second Carnot engine. This second engine uses the rejected heat of the first engine as input and extracts additional work from it. The rejected heat from the second engine goes into a reservoir that has a temperature of 110 K. Find the total work delivered by the two engines.

**Diagram Explanation:**

1. **Engine 1**:
   - Heat input \(Q_{2H1}\) from the hot reservoir at temperature \(T_{H1}\) of 904 K.
   - Heat rejected \(Q_{C1}\) to the intermediate reservoir with temperature \(T_{C1}\) of 314 K.
   - Produces work output \(|W_1|\).

2. **Engine 2**:
   - Heat input \(Q_{2H2}\) from the intermediate 314-K reservoir.
   - Heat rejected \(Q_{C2}\) to the cold reservoir with temperature \(T_{C2}\) of 110 K.
   - Produces work output \(|W_2|\).

**Calculations**:

To determine the total work delivered by the two engines, sum the work outputs \(|W_1 + W_2|\).

**Input Box**:
- Enter the calculated total work in the provided box labeled "Number".
- Choose the appropriate unit from the dropdown menu labeled "Units".
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Transcribed Image Text:The hot reservoir for a Carnot engine has a temperature of 904 K, while the cold reservoir has a temperature of 314 K. The heat input for this engine is 4210 J. The 314-K reservoir also serves as the hot reservoir for a second Carnot engine. This second engine uses the rejected heat of the first engine as input and extracts additional work from it. The rejected heat from the second engine goes into a reservoir that has a temperature of 110 K. Find the total work delivered by the two engines. **Diagram Explanation:** 1. **Engine 1**: - Heat input \(Q_{2H1}\) from the hot reservoir at temperature \(T_{H1}\) of 904 K. - Heat rejected \(Q_{C1}\) to the intermediate reservoir with temperature \(T_{C1}\) of 314 K. - Produces work output \(|W_1|\). 2. **Engine 2**: - Heat input \(Q_{2H2}\) from the intermediate 314-K reservoir. - Heat rejected \(Q_{C2}\) to the cold reservoir with temperature \(T_{C2}\) of 110 K. - Produces work output \(|W_2|\). **Calculations**: To determine the total work delivered by the two engines, sum the work outputs \(|W_1 + W_2|\). **Input Box**: - Enter the calculated total work in the provided box labeled "Number". - Choose the appropriate unit from the dropdown menu labeled "Units".
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