Thermal Module for Chemically Reactive System

The problem of the mass and energy balance is addressed by considering the kiln as a combustion system in which fuel and oxidizer flow into a control volume and combustion products flow out. Without the details of all the transport models that have been discussed in the previous chapters, one should be able to relate the combustion products to the input mass flow rates and energies and to account for any mass or energy accumulation or destruction that might take place and how they do. The steady flow First Law Equation, Equation (9.11), maybe written for the balance as 

It is easy to envision that no shaft work is involved and that the work done on the surroundings is what transforms the raw material into usable material and which can be accounted for as energy of formation of the intended product. Therefore H includes chemical as well as thermal energy. The enthalpy is the sum of the enthalpies of all product streams leaving the system and is that for the entering reactant streams. The individual enthalpies may each be written as the product of the number of moles of the component in the reaction equation and the respective enthalpy per mole of the component. For example, for k number of products 

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