The following is a schematic representation of a refrigerator or a heat pump. The coefficient of performance (α) of a refrigerator is given by

Question

The following is a schematic representation of a refrigerator or a heat pump. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/6aabbba8ff847e12d1ff6a6fe277fd3e-.png" /> The coefficient of performance (α) of a refrigerator is given by (A) α=(Q1/W) (B) α=(Q1/Q1-Q2) (C) α=(W/Q1) (D) α=(Q2/Q1-Q2)

Tardigrade Admin · Accepted Answer

α=(Q2/W) Now, Q1=Q2+W or Q2=Q1-Q2 ⇒ α=(Q2/Q1-Q2).

Q. The following is a schematic representation of a refrigerator or a heat pump.

The coefficient of performance $(α)$ of a refrigerator is given by

$α = \frac{Q _{1}}{W}$

$α = \frac{Q _{1}}{Q _{1} - Q _{2}}$

$α = \frac{W}{Q _{1}}$

$α = \frac{Q _{2}}{Q _{1} - Q _{2}}$

$α = \frac{Q _{2}}{W}$
Now, $Q_{1} = Q_{2} + W$ or $Q_{2} = Q_{1} - Q_{2}$
$\Rightarrow α = \frac{Q _{2}}{Q _{1} - Q _{2}}$ .

Q. The following is a schematic representation of a refrigerator or a heat pump. The coefficient of performance (α) of a refrigerator is given by

α=WQ1​​

α=Q1​−Q2​Q1​​

α=Q1​W​

α=Q1​−Q2​Q2​​