Question: Using dsolve and a system of odes to find conditional variable value

Hi!

I am working on a chemical engineering problem and trying to find a value (Ua) that does not result in a reactor temperature (T) exceeding 398.15 K.

I am employing a system of ode's, secondary functions, variables, starting conditions etc., and the dsolve function to determine these parameters.

Some values are given or calculated, UA is not. So for now I have just been guessing at the value (needed to preform the dsolve initially) and plotting to see relations to T and other parameters. My teacher has directed us to employ this trial and error apporach, which I find time consuming.

There is of course a smarter, more time efficient way of doing this and I was wondering how one could implement this? Moreover, how does one find the values of all the other variables at this Ua value? Is there a one-liner?

I tried implementing a loop to check for max UA values <= 398.15, but was not able to implement it..

Any help would be kindly appreciated.

FindingExtractingvaluesdsolvewithspecificconditions.mw