If the temperature inside the fridge is 35°F and the temperature outside is 70°F what is the maximum possible efficiency of the refrigerator. (Hint: You need to convert both temperatures to Kelvin first. Google can do this conversion for you.)
If the temperature inside the fridge is 35°F and the temperature outside is 70°F what is the maximum possible efficiency of the refrigerator. (Hint: You need to convert both temperatures to Kelvin first. Google can do this conversion for you.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![### Understanding Refrigerator Efficiency
Refrigerators operate similarly to air conditioners by pumping heat from the inside to the outside. The efficiency of a refrigerator is defined by the ratio of the heat removed from the inside (\(Q_{\text{cold}}\)) to the work (\(W\)) done by the electric motor:
\[
\eta_{\text{AC}} = \frac{Q_{\text{cold}}}{W}
\]
Where:
- \(\eta_{\text{AC}}\) is the efficiency.
- \(Q_{\text{cold}}\) is the heat removed from the fridge.
- \(W\) is the work done.
#### Maximum Theoretical Efficiency
The maximum theoretical efficiency of a refrigerator, considering the temperatures involved, is given by:
\[
\eta_{\text{AC max}} = \frac{T_C}{T_H - T_C}
\]
Where:
- \(T_C\) is the temperature inside the refrigerator (in Kelvin).
- \(T_H\) is the temperature outside the refrigerator (in Kelvin).
### Problem Example
1. **Temperature Conversion and Calculation:**
If the inside fridge temperature is 35°F and the outside temperature is 70°F, we are tasked with finding the maximum possible efficiency of the refrigerator.
**Hint:** Convert the temperatures from Fahrenheit to Kelvin. Google or a calculator can assist with this conversion.
By using these concepts and formulas, you can determine the efficiency and performance metrics of refrigeration systems in various conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc11f26fd-cef8-49ce-a518-26ea804f3de8%2F6443fa9d-8208-46e9-91d4-abf8d1dee2df%2Fng5hwbf_processed.gif&w=3840&q=75)
Transcribed Image Text:### Understanding Refrigerator Efficiency
Refrigerators operate similarly to air conditioners by pumping heat from the inside to the outside. The efficiency of a refrigerator is defined by the ratio of the heat removed from the inside (\(Q_{\text{cold}}\)) to the work (\(W\)) done by the electric motor:
\[
\eta_{\text{AC}} = \frac{Q_{\text{cold}}}{W}
\]
Where:
- \(\eta_{\text{AC}}\) is the efficiency.
- \(Q_{\text{cold}}\) is the heat removed from the fridge.
- \(W\) is the work done.
#### Maximum Theoretical Efficiency
The maximum theoretical efficiency of a refrigerator, considering the temperatures involved, is given by:
\[
\eta_{\text{AC max}} = \frac{T_C}{T_H - T_C}
\]
Where:
- \(T_C\) is the temperature inside the refrigerator (in Kelvin).
- \(T_H\) is the temperature outside the refrigerator (in Kelvin).
### Problem Example
1. **Temperature Conversion and Calculation:**
If the inside fridge temperature is 35°F and the outside temperature is 70°F, we are tasked with finding the maximum possible efficiency of the refrigerator.
**Hint:** Convert the temperatures from Fahrenheit to Kelvin. Google or a calculator can assist with this conversion.
By using these concepts and formulas, you can determine the efficiency and performance metrics of refrigeration systems in various conditions.
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