Question

In a gas cycle refrigeration, refrigerant at temperature $T_1$ enters the compressors and compressed upto a temperature $T_3$ which is the ambient temperature . What is the COP of the cycle?

• A. 0
• B. 1
• C. Inderterminate
• D. $\frac{T_1}{T_3-T_1}$

Answer 1

The correct option is C Inderterminate

As refrigerant is compressed upto ambient temperature $T_3$ and it is the minimum temperature to which the gas can be cooled. That means, without any in temperature or without any condenser process, it expanded to the temperature $T_1$ so refrigeration effect and net work done both are zero.

$COP=\frac{\text{Refrigeneration effect}}{\text{Net work done}}=\frac{0}{0}=\text{Inderterminate form}$