Exam 14: Second Law of Thermodynamics

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The figure shows a pV diagram for a cycle of a thermodynamic engine for which QH = 59 J.What is the thermal efficiency of the engine? The figure shows a pV diagram for a cycle of a thermodynamic engine for which Q<sub>H</sub> = 59 J.What is the thermal efficiency of the engine?

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If the efficiency of a Carnot engine were to be 100%,the cool reservoirs would have to be

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An ideal Carnot engine operating between a warm reservoir of unknown temperature and a cold reservoir at 1.76 K1.76 \mathrm {~K} has an efficiency of 11.0%11.0 \% What is the temperature of the warm reservoir?

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A thermodynamic engine has an efficiency of 35.0% and receives 150 J of energy per cycle. (a)How much work does it do in each cycle? (b)How much thermal energy does it "waste" in each cycle?

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A gas follows the pV trajectory shown in Figure 16.2.How much work is done per cycle by the gas if the gas in a thermodynamic engine follows the cycle shown in the pV diagram.How much work does this engine do each cycle if p0 = 5.4 atm? 5.4 \text { atm? }  A gas follows the pV trajectory shown in Figure 16.2.How much work is done per cycle by the gas if the gas in a thermodynamic engine follows the cycle shown in the pV diagram.How much work does this engine do each cycle if p<sub>0</sub> =  5.4 \text { atm? }

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Which of the following is a false statement?

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On a cold winter day,the outside temperature is -20°C and the inside temperature is maintained at 20°C.There is a net thermal energy flow to the outside through the walls,roof,etc.,of 25 kW.What is the rate of increase of the entropy of the universe as a result of this energy flow?

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An ideal Carnot engine operates between a high temperature reservoir at 492 K492 \mathrm {~K} and a river with water at 290 K.290 \mathrm {~K} . If it absorbs 4000 J4000 \mathrm {~J} of energy each cycle,how much work per cycle does it perform?

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An ideal Carnot engine extracts 529 J of energy from a high-temperature reservoir during each cycle,and rejects 225 J225 \mathrm {~J} of energy to a low-temperature reservoir during the same cycle.What is the efficiency of the engine?

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For a certain ideal Carnot engine,the hot reservoir is 35 C° higher than the cold reservoir.If this engine is to have an efficiency of 20%,what must be the temperature of the hot reservoir?

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An ideal Carnot engine operating between a warm reservoir of unknown temperature and a cold reservoir at 1.76 K1.76 \mathrm {~K} has an efficiency of 40.0%40.0 \% What is the temperature of the warm reservoir?

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A real (non-Carnot)thermodynamic engine,operating between thermal energy reservoirs at temperatures of 450 K and 270 K,performs 3.3 kJ of net work,and rejects 8.2 kJ of energy in a single cycle. (a)What is the thermal efficiency of this thermodynamic engine? (b)What is the maximum efficiency it could possibly have?

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A container of ideal gas at STP undergoes an isothermal expansion and its entropy changes by 3.7 J/K.How much work does it do?

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An ideal gas undergoes an isothermal expansion.During this process,its entropy

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A 15.0-kg block of ice at 0.00°C falls into Lake Superior,which is a fresh water lake.The lake water is at 10.0°C,and the latent heat of fusion for ice is 3.34 × 105 J/kg.Find the change in entropy due to the melting of the ice (a)of the block of ice,(b)of the lake,and (c)of the system consisting of the lake and the ice.(d)Is your answer to part (c)consistent with the reversibility or irreversibility of the melting process?

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A thermodynamic pump absorbs thermal energy from the atmosphere at a rate of 30 kW.If work is being done to run this thermodynamic pump at a rate of 7.7 kW,what is the coefficient of performance (COP)of the thermodynamic pump?

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When 0.50 kg of water at 0°C freezes,what is the change in entropy of the water? The latent heat of fusion of water is 33,400 J/kg.

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A refrigerator has a coefficient of performance equal to 4.2.How much work must be done on the operating gas in the refrigerator in order to remove 250 J of energy from the interior compartment?

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An ideal Carnot engine is operated as an air conditioner to cool a house in the summer.The air conditioner removes 14 kJ 14 \text { kJ } of thermal energy per second from the house,and maintains the inside temperature at 293 K, 293 \mathrm {~K} \text {, } while the outside temperature is 369 K.369 \mathrm {~K} . The power required to run the air conditioner under these operating conditions is closest to

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An ideal Carnot engine has an efficiency of 83.0% and performs 4500 J of work every cycle.How much energy is discharged to the lower temperature reservoir every cycle?

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