Mario Mendes Jr. wrote:
> 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?

That depends on the thermal insulation between A and B.  This will be hard
to calculate up front.  At best you can get a ballpark idea.  The only real
way to determine this is to build it and measure the result.  The flow and
amount of agitation in both liquids will also have a lot to do with it.


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