The measured heat release rate is $35-$W for a $2-$

hour feed time. These calorimeter tests were done at $17\mathrm{.}5\backslash$deg C

and at a $1-$L $($reactant volume$)$ scale. What would the acceptable

feed time be for a production scale semi$-$batch reactor $($with

jacketed cooling$)?$

Use the following data for the plant scale reactor:

Heat transfer coefficient $($U$)=300$ W$/$m$2.$K

Rector jacket coolant temperature $=-12\mathrm{.}5\backslash$deg C

The heat transfer area, A$,$ varies with feed. An average value can be assumed

to be $2\mathrm{.}2-$m$2/$m$3$ of reactant volume.

Hint: adjust the feed time to match the heat release rate from the reaction to

be within the heat removal capacity of the reactor, which equals U$.$A$.$ DT