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Problem 2: Cool drinks on the beach (75 points) It's the week of Spring Break; after months of relentless snowstorms in Montreal and considerable suffering at McGill, you and your buddies are enjoying a few days of well-deserved R&R on the Florida coast. You brought six bottles of an age- appropriate drink to the beach, but forgot to put them in the refrigerator and you don't have a cooler. The bottles are now at ambient temperature (Tamb- 35°C or 308 K): you can either have your drink warm (in which case you will receive zero credit on this problem or use your newly-acquired knowledge of thermodynamics to determine what it would take to cool the bottles. There is a small refrigerator at the tiki bar; you put the bottles in the refrigerator and plug it in a power outlet. The bottles (including their liquid content) have a total mass of 3.1 kg and an average specific heat of 2900 J/kg-K. a) (10 Points) Taking the refrigerator (but not the bottles within) as the system, draw a black-box' schematic diagram showing all the energy transfers (including their sign) between the system and the environment (35 Points) Calculate the work transfer required by the refrigerator to cool the bottles to 5°C (278 K). In doing so, you may assume that the refrigerator has a COP which is only 70% the COP of a reversible refrigerator. You may also assume that the refrigerator itself is massless, therefore it does not store either energy or entropy. This implies that the temperature inside the refrigerator is equal to the temperature of the bottles at any given time during the process. b) c) (30 Points) Calculate the total entropy generated in the refrigerator during the process
Problem 2: Cool drinks on the beach (75 points) It's the week of Spring Break; after months of relentless snowstorms in Montreal and considerable suffering at McGill, you and your buddies are enjoying a few days of well-deserved R&R on the Florida coast. You brought six bottles of an age- appropriate drink to the beach, but forgot to put them in the refrigerator and you don't have a cooler. The bottles are now at ambient temperature (Tamb- 35°C or 308 K): you can either have your drink warm (in which case you will receive zero credit on this problem or use your newly-acquired knowledge of thermodynamics to determine what it would take to cool the bottles. There is a small refrigerator at the tiki bar; you put the bottles in the refrigerator and plug it in a power outlet. The bottles (including their liquid content) have a total mass of 3.1 kg and an average specific heat of 2900 J/kg-K. a) (10 Points) Taking the refrigerator (but not the bottles within) as the system, draw a black-box' schematic diagram showing all the energy transfers (including their sign) between the system and the environment (35 Points) Calculate the work transfer required by the refrigerator to cool the bottles to 5°C (278 K). In doing so, you may assume that the refrigerator has a COP which is only 70% the COP of a reversible refrigerator. You may also assume that the refrigerator itself is massless, therefore it does not store either energy or entropy. This implies that the temperature inside the refrigerator is equal to the temperature of the bottles at any given time during the process. b) c) (30 Points) Calculate the total entropy generated in the refrigerator during the process