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One bowl of liquid is poured into a cup at an initial temperature of 25C which has heat capacity 200J C^-1. Another bowl of liquid is present as a control. Given that the two bowls of liquid are at 90C and have heat capacity 2000J C^-1. If the control cools at a rate of 18W and the liquid in the cup cools at a rate of 3W, find their temperatures after 45 minutes.
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