In a hypothetical nuclear fusion reactor, the fuel is deuterium gasat a temperature of about 9.1 x 108 K. If this gas could be used tooperate a Carnot engine with TL = 248Â°C, what would be the engine'sefficiency?

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24 Aug 2019

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A. Consider two arbitrary heat engines. Engine A hasanefficiency of 60%. Engine B absorbs the same amount ofheat from theheat reservoir as Engine A; however, it exhauststwice as much heatto the cold reservoir as Engine A. Findthe efficiency of EngineB.

B. Consider a nonreversible heat engine that operatesbetweentemperatures T_h and T_c, whereT_c =1/3 T_h. The engine absorbs anamount of heatQ_h from the heat reservoir in order to doan amount ofwork W.

1) If the engine discards an amount of heat Q_c= 3/5Q_h to the cold reservoir, determine the efficiencyofthis engine.

2) How much work, in terms of Q_h, would beavailableto a Carnot heat engine operating between the same twotemperatures?What would the efficiency of this Carnot enginebe?

C. A freezer with a coefficient of performance of 4 isused toconvert 2kg of water to ice in one hour. The waterstarts at atemperature of 20Â°C, and the ice that is producedis cooled to atemperature of -5Â°C.

1) How much heat must be removed from the water for thisprocessto occur?

2) How much electrical energy does the freezer use duringthishour of operation?

3) How much heat is discarded into the room that housesthefreezer?

1) If the engine discards an amount of heat Q_c= 3/5Q_h to the cold reservoir, determine the efficiencyofthis engine.

2) How much work, in terms of Q_h, would beavailableto a Carnot heat engine operating between the same twotemperatures?What would the efficiency of this Carnot enginebe?

1) How much heat must be removed from the water for thisprocessto occur?

2) How much electrical energy does the freezer use duringthishour of operation?

3) How much heat is discarded into the room that housesthefreezer?

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In a hypothetical nuclear fusion reactor, the fuel is deuterium gasat a temperature of about 9.1 x 108 K. If this gas could be used tooperate a Carnot engine with TL = 248Â°C, what would be the engine'sefficiency?

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