Cooling two six packs of beer in a small refrigerator

  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.
     
  2. jcsd
  3. kai_sikorski

    kai_sikorski 162
    Gold Member

    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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