Coefficient of Performance, COP:

$\overline{){\mathbf{COP}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{{\mathbf{Q}}_{\mathbf{C}}}{\mathbf{W}}{\mathbf{=}}\frac{{\mathbf{Q}}_{\mathbf{C}}}{{\mathbf{Q}}_{\mathbf{H}}\mathbf{-}{\mathbf{Q}}_{\mathbf{C}}}{\mathbf{=}}\frac{{\mathbf{T}}_{\mathbf{C}}}{{\mathbf{T}}_{\mathbf{H}}\mathbf{-}{\mathbf{T}}_{\mathbf{C}}}}$

Q_{C} is the heat removed from inside and W is the work done. The two must be equal for the coefficient of performance to be 1.

Q_{H} is the heat supplied by the hot reservoir/outside. T_{C} is the temperature of the cold body and T_{H} is the temperature of the hot body.

If the coefficient of performance of a refrigerator is 1, which the following statements is true?

a) The temperature outside equals the temperature inside of the refrigerator.

b) The rate at which heat is removed from the inside equals the rate at which heat is delivered outside.

c) The power consumed by the refrigerator equals the rate at which heat is removed from the inside.

d) The power consumed by the refrigerator equals the rate at which heat is delivered to the outside.

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