Calculate the actual COP of the refrigerating device if it is ope
| Calculate the actual COP of the refrigerating device if it is operating between the temperature range of 250 K and 300 K. (Take relative COP = 0.5)
A. 4
B. 5
C. 2.5
D. 7
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Concept:
\(Relative\;COP = \frac{{Actual\;COP}}{{Carnot\;COP}}\)
Now,
\(Carnot\;COP = \frac{{{T_L}}}{{{T_H} - {T_L}}}\)
Where, TL = Lower temperature and TH = Higher temperature
Calculation:
Given:
TL = 250 K, TH = 300 K, Relative COP = 0.5
Now,
\(Carnot\;COP = \frac{{250}}{{300 - 250\;}}\)
∴ Carnot COP = 5
Now,
\(Relative\;COP\; = \frac{{Actual\;COP}}{{Carnot\;COP}}\)
∴ Actual COP = Relative COP × Carnot COP
∴ Actual COP = 0.5 × 5
∴ Actual COP = 2.5