Answer:

is the lowest possible temperature of the cold reservoir.
Step-by-step explanation:
Given:
Coefficient of performance of refrigerator,

A)
We know that for a refrigerator:

Given that 10 J of energy is consumed by the compressor:

Now the by the conservation of energy the heat exhausted :


B)
Also

where:
are the absolute temperatures of high and low temperature reservoirs respectively.



is the lowest possible temperature of the cold reservoir.