An inventor claims to have devised a refrigeration cycle operating between hot and cold reservoirs at \( 303 \mathrm{~K} \) and \( 256 \mathrm{~K} \), respectively, that removes an amount of energy \( Q_{C} \) by heat transfer from the cold reservoir that is a multiple of the net work input-that is, \( Q_{C}= \)
Determine the maximum theoretical value of the number \( \mathrm{N} \) for any such cycle.