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The COP of a refrigerator working on reversed carnot cycle is 4. The ratio of highest absolute temperature is lowest absolute temperature is .
  • a)
    1.5
  • b)
    4.0
  • c)
    1.25
  • d)
    2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The COP of a refrigerator working on reversed carnot cycle is 4. The r...
Solution:

Carnot cycle is a reversible cycle consisting of four processes- isothermal compression, adiabatic compression, isothermal expansion, and adiabatic expansion.

The coefficient of performance (COP) of a refrigerator working on reversed Carnot cycle is given by:

COP = T1 / (T1 - T2)

where T1 is the absolute temperature of the source (higher temperature) and T2 is the absolute temperature of the sink (lower temperature).

Given that the COP of the refrigerator is 4, we have:

4 = T1 / (T1 - T2)

Solving for T1/T2, we get:

T1/T2 = 5

Now, we need to find the ratio of T1 and T2. Let's assume that T1 is the highest absolute temperature and T2 is the lowest absolute temperature.

Therefore, we have:

T1/T2 = 5

T1 = 5T2

Substituting this in the expression for COP, we get:

4 = 5T2 / (5T2 - T2)

4 = 5T2 / 4T2

T2 = T1/5 = T1 - T1/5 = 4T1/5

Therefore, the ratio of T1 to T2 is:

T1/T2 = T1 / (4T1/5) = 5/4

Hence, the correct option is (c) 1.25.
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Community Answer
The COP of a refrigerator working on reversed carnot cycle is 4. The r...
COP= TL/(TH-TL)=4
so, 5*TL=4TH
or, TH/TL=5/4=1.25

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The COP of a refrigerator working on reversed carnot cycle is 4. The ratio of highest absolute temperature is lowest absolute temperature is .a)1.5b)4.0c)1.25d)2Correct answer is option 'C'. Can you explain this answer?
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