Cooling two six packs of beer in a small refrigerator

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SUMMARY

The discussion focuses on cooling two six packs of beer in a small refrigerator, where the room temperature is 72 °F and the fridge temperature is 44 °F. To achieve a drinking temperature of 61 °F, the first six pack must be cooled to a temperature below 50 °F, which is not the naive assumption. The optimal temperature for the first six pack, denoted as [T][/low], is calculated to ensure that it reaches drinking temperature in the time it takes to cool the second six pack. The total time required for this cooling strategy is determined to be 60 minutes.

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Your dorm room has a temperature of 72 °F, and you have two six packs of beer that you want to get ready to a drinking temperature of 61 °F for dinner. Your fridge has a temperature of 44 °F, and experience has shown that a room-temperature six pack, placed in the fridge, will be at drinking temperature after 30 minutes.
Unfortunately, your fridge can only take one six pack at a time...
You devise the following strategy of having both six packs cool by dinner time:

Cool the first six pack to a temperature of [T][/low], which is suitably BELOW drinking temperature, so that when you take six pack #1 out, it will come up to drinking temperature in exactly the time required to cool six pack #2.

1.) To get to drinking temperature from room temperature takes a lowering by 11 degrees. Why is it that [T][/low] is NOT 50 °F (as one might naively assume)?

2.) Determine [T][/low], and the total time required to cool both six packs with this strategy.
 
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