a) A basement refrigerator is used to store cool beverages during the long hot summer. The refrigerator is maintained at 2°C and the ambient basement temperature is 20°C. Glass bottles filled with cola at 25°C are placed in the refrigerator. Each bottle weighs 0.20 kg and there is 0.25 kg of cola in each bottle. Assume the glass bottles are in thermal equilibrium with the cola at all times (i.e. the temperature of the bottles and cola are equal). The available energy (work) to cool the bottles of cola in the refrigerator space is 110 kJ. The coefficient of performance of the refrigerator is 0.20 % of that of a Carnot refrigerator. Assume the bottle has the properties of plate glass, and the cola has the properties of saturated liquid water. How many bottles containing cola can be placed in the refrigerator and cooled to 2°C? b) Define the reversible (Q /Q)rev ratio in terms of T, and T. Prove that the coefficient of performance of a reversible heat pump (). is IH TH-TL rev

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a) A basement refrigerator is used to store cool beverages during the long hot summer. The refrigerator
is maintained at 2°C and the ambient basement temperature is 20°C. Glass bottles filled with cola at
25°C are placed in the refrigerator. Each bottle weighs 0.20 kg and there is 0.25 kg of cola in each
bottle. Assume the glass bottles are in thermal equilibrium with the cola at all times (i.e. the
temperature of the bottles and cola are equal). The available energy (work) to cool the bottles of cola
in the refrigerator space is 110 kJ.
The coefficient of performance of the refrigerator is 0.20 % of that of a Carnot refrigerator. Assume
the bottle has the properties of plate glass, and the cola has the properties of saturated liquid water.
How many bottles containing cola can be placed in the refrigerator and cooled to 2°C?
b) Define the reversible (Q /Q.)rev ratio in terms of TH and T. Prove that the coefficient of
performance of a reversible heat pump ()
TH
TH-TL"
rev
Transcribed Image Text:a) A basement refrigerator is used to store cool beverages during the long hot summer. The refrigerator is maintained at 2°C and the ambient basement temperature is 20°C. Glass bottles filled with cola at 25°C are placed in the refrigerator. Each bottle weighs 0.20 kg and there is 0.25 kg of cola in each bottle. Assume the glass bottles are in thermal equilibrium with the cola at all times (i.e. the temperature of the bottles and cola are equal). The available energy (work) to cool the bottles of cola in the refrigerator space is 110 kJ. The coefficient of performance of the refrigerator is 0.20 % of that of a Carnot refrigerator. Assume the bottle has the properties of plate glass, and the cola has the properties of saturated liquid water. How many bottles containing cola can be placed in the refrigerator and cooled to 2°C? b) Define the reversible (Q /Q.)rev ratio in terms of TH and T. Prove that the coefficient of performance of a reversible heat pump () TH TH-TL" rev
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