I have a reactant mixture which is first heated up to a reaction temperature lets say from T atmospheric= 25°c to starting reaction temperature T 1=100°c . Once the reaction has started, I have to maintain this temperature for about t=50 minutes and from 50th minutre onwards till end of reaction there is a linear increase of temperature giving me T 2= 150°c at t=100 minutes. so 1°/min increase rate. I want to calculate the total energy that I have to provide from heating the reactants till end of the reaction.
so what I have untill now is
The reaction lets say is:
A+ B :rarrow:C+D
The reaction is overall exothermic.
The stichiometric coefficients are all 1
Energy total supplied= Q_heating(25°c to 100°c) + Q_reaction1(at constant 100°c for 50 minute) + Q_reaction2(from 100°c to 150°c)
i know Q_heating= nA.ΔHA + nB.ΔHB
where ΔH= ∫[cp.dT] from 25 to 100°c
I am not however sure about how to calculate other Q's .
imo Q_reaction1= nc.ΔHFc + nd.ΔHFd -na.ΔHFa- nc.ΔHFc ΔHF= heat of formation at 100°c
ΔHFi= ΔHFi°(25°c) + ∫[cp,i.dT] from 25 to 100°c
also i am confused if this Q_reaction1 is negative does that mean i remove this heat from my overall energy supply??
I am not sure however how to calculate the third term as reaction is also occuring while temperature is not constant. I know the amount of A, B, C, D at all points in the reaction, should i calculate the heat of reaction like in case of Q_reaction1 and what would be the temperature range for temperature (25°c to 150°c??) in cpdt also should i use ΔHF° (25°c) or should i just calculate the enthalpy change from (100 to 150°c) not adding the heat of formations?