A Carnot engine works between two heat reservoirs at temperatures Th= 322 K and Tc = 65 K. 1) (a) What is its efficiency? % Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) (b) If it absorbs 118 J from the hot reservoir during each cycle, how much work does it do? J Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 3) (c) How much heat does it give off in each cycle? J Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 4) (d) What is the coefficient of performance of this engine when it works as a refrigerator between these two reservoirs?

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### Carnot Engine Efficiency and Performance Analysis

A Carnot engine operates between two heat reservoirs at temperatures \( T_H = 322 \, K \) and \( T_C = 65 \, K \).

#### 1) (a) What is its efficiency?

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#### 2) (b) If it absorbs 118 J from the hot reservoir during each cycle, how much work does it do?

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#### 3) (c) How much heat does it give off in each cycle?

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#### 4) (d) What is the coefficient of performance of this engine when it works as a refrigerator between these two reservoirs?

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### Explanation

**Carnot Engine Efficiency Calculation:**

The efficiency (\( \eta \)) of a Carnot engine is determined by the temperatures of the hot (\( T_H \)) and cold (\( T_C \)) reservoirs:

\[ 
\eta = 1 - \frac{T_C}{T_H} 
\]

Where \( T_H \) and \( T_C \) are the absolute temperatures of the hot and cold reservoirs, respectively.

**Work and Heat Transfer:**

1. **Work Done (\( W \))**:
   \[
   W = Q_H \cdot \eta
   \]

2. **Heat Rejected (\( Q_C \))**:
   \[
   Q_C = Q_H - W
   \]

**Coefficient of Performance (COP) for Refrigerators:**

The coefficient of performance for a refrigerator (\( \text{
Transcribed Image Text:### Carnot Engine Efficiency and Performance Analysis A Carnot engine operates between two heat reservoirs at temperatures \( T_H = 322 \, K \) and \( T_C = 65 \, K \). #### 1) (a) What is its efficiency? **Answer Box:** \[ \% \quad \text{Submit} \] *You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question.* --- #### 2) (b) If it absorbs 118 J from the hot reservoir during each cycle, how much work does it do? **Answer Box:** \[ \text{J} \quad \text{Submit} \] *You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question.* --- #### 3) (c) How much heat does it give off in each cycle? **Answer Box:** \[ \text{J} \quad \text{Submit} \] *You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question.* --- #### 4) (d) What is the coefficient of performance of this engine when it works as a refrigerator between these two reservoirs? **Answer Box:** \[ \text{Submit} \] *You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question.* --- ### Explanation **Carnot Engine Efficiency Calculation:** The efficiency (\( \eta \)) of a Carnot engine is determined by the temperatures of the hot (\( T_H \)) and cold (\( T_C \)) reservoirs: \[ \eta = 1 - \frac{T_C}{T_H} \] Where \( T_H \) and \( T_C \) are the absolute temperatures of the hot and cold reservoirs, respectively. **Work and Heat Transfer:** 1. **Work Done (\( W \))**: \[ W = Q_H \cdot \eta \] 2. **Heat Rejected (\( Q_C \))**: \[ Q_C = Q_H - W \] **Coefficient of Performance (COP) for Refrigerators:** The coefficient of performance for a refrigerator (\( \text{
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