# Cooling two six packs of beer in a small refrigerator...

by Protocol2.0
Tags: calculus, law of cooling, temperature
 P: 1 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.
 PF Gold P: 162 First of all.. best homework question ever Second of all: you need to show some attempt at a solution before we can help you.

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