I'm trying to find out where I can find the following information.  My
initial google searches have only led me to half the answer.  If you know
a good source of information on how to solve this I'd appreciate it if
you'd let me know.  Thanks.

I need to build an aparatus that will heat up a couple of gallons of water
[max].  But in this tank there will be another container with milk in it. 
The milk cannot be heated directly otherwise the flavor of the end product
can be affected.

I think a little sketch will help me describe what I need help with.

 ___________
|    ___    |
| a |   |   |
|   | b |   |
|   |___|   |
|___________|

First, assume the b container is not in the picture, so, if a is at 0c and
I need to raise it to 30c in 30 minutes, then I'll need to raise the
temperature of a by 1 degree per minute.  Easy so far.

But, what I am trying to find out is the rate of change for a if b is at
15 and it needs to be at 30 in 30 minutes.  So b will need to heat up at
0.5 degree per minute, but what is the rate of change for a in order to
accomplish this?


Thanks.


-Mario
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