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Chapter 20: Q79P (page 608)

In a real refrigerator, the low-temperature coils are at-13掳C , and the compressed gas in the condenser is at26掳C . What is the theoretical coefficient of performance?

Short Answer

Expert verified

The theoretical coefficient of performance is 6.67

Step by step solution

01

The given data

The low-temperature coil in the condenser,

The compressed gas temperature in the condenser,

02

Understanding the concept of the Carnot refrigerator

In an ideal refrigerator, all processes are reversible and no wasteful energy transfer occurs. The theoretical coefficient of performance is the ratio of heat from the low-temperature reservoir to the least amount of work. By using this ratio, we can calculate the coefficient of performance.

Formula:

The coefficient of the Carnot refrigerator, K=TLTH-TL (1)

03

Calculation of the theoretical coefficient of performance

By substituting temperature values in equation (1), we can get the coefficient of performance of the refrigerator as given:

K=260K299K-260K=260K39K=6.67

Hence, the value of the coefficient of performance is 6.67.

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