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SP3. A Carnot engine operating in reverse as a heat pump moves heat from a cold reservoir at 7°C to a warmer one at 22°C. a) What is the efficiency of a Carnot engine operating between these two temperatures? b) If the Carnot heat pump releases 250 J of heat into the higher-temperature reservoir in each cycle, how much work must be provided in each cycle? c) How much heat is removed from the 7°C reservoir in each cycle? d) The performance of a refrigerator or heat pump is described by a ""coefficient of performance"" defined as $K = Q_c/W$. What is the coefficient of performance for our Carnot heat pump? 

          SP3. A Carnot engine operating in reverse as a heat pump moves heat from a cold reservoir at 7°C to a warmer one at 22°C.
a) What is the efficiency of a Carnot engine operating between these two temperatures?
b) If the Carnot heat pump releases 250 J of heat into the higher-temperature reservoir in each cycle, how much work must be provided in each cycle?
c) How much heat is removed from the 7°C reservoir in each cycle?
d) The performance of a refrigerator or heat pump is described by a ""coefficient of performance"" defined as $K = Q_c/W$. What is the coefficient of performance for our Carnot heat pump?
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SP3. A Carnot engine operating in reverse as a heat pump moves heat from a cold reservoir at 7°C to a warmer one at 22°C. a) What is the efficiency of a Carnot engine operating between these two temperatures? b) If the Carnot heat pump releases 250 J of heat into the higher-temperature reservoir in each cycle, how much work must be provided in each cycle? c) How much heat is removed from the 7°C reservoir in each cycle? d) The performance of a refrigerator or heat pump is described by a ""coefficient of performance"" defined as K = Qc/W. What is the coefficient of performance for our Carnot heat pump?

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A Carnot engine operating in reverse as a heat pump moves heat from a cold reservoir at 7°C to a warmer one at 22°C. a) What is the efficiency of a Carnot engine operating between these two temperatures? b) If the Carnot heat pump releases 250 J of heat into the higher-temperature reservoir in each cycle, how much work must be provided in each cycle? c) How much heat is removed from the 7°C reservoir in each cycle? d) The performance of a refrigerator or heat pump is described by a "coefficient of performance" defined as K = Qc/W. What is the coefficient of performance for our Carnot heat pump?
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Transcript

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00:01 So here in this question we are given the value of sink temperature and the sink temperature is represented by ts which will be equal to 7 degrees celsius.
00:09 We are given our source temperature and the source temperature is represented by a to which will be equals to 22 degrees celsius.
00:17 So we can say that in k1, sink temperature will be equal to 280 kelvin in the terms of kelvin and source temperature will be 295 kelvin.
00:30 So, in the first part, we have to find out the efficiency of carnot heat engine.
00:40 So this will be n is equal to 1 minus temperature of sync divided by the temperature of source.
00:48 So, neta will be equals to 1 minus 280 divided by the 295.
00:52 So from here we can say that the value of nita will be equals to 0 .051 or nita will be equals to 5 .1%.
01:00 So this is the answer here to this part.
01:04 Now in the next part we have to find out the coefficient of performance...
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