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Unformatted text preview: 5.6. SOME CONSERVATION AND EVOLUTION EQUATIONS 193 The term N i =1 li i represents the number of moles of element l per unit volume, by the following analysis N summationdisplay i =1 li i = N summationdisplay i =1 moles element l moles species i moles species i volume = moles element l volume e l . (5.405) Here the elemental mole density , e l , for element l has been defined. So the element concen- tration for each element remains constant in a constant volume reaction process: d e l dt = 0 , l = 1 ,...,L. (5.406) One can also multiply by the elemental mass, M l to get the elemental mass density , e l : e l M l e l , l = 1 ,...,L. (5.407) Since M l is a constant, one can incorporate this definition into Eq. (5.406) to get d e l dt = 0 , l = 1 ,...,L. (5.408) The element mass density remains constant in the constant volume reaction. One could also simply say since the elements density is constant, and the mixture is simply a sum of the elements, that the mixture density is conserved as well.elements, that the mixture density is conserved as well....
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- Fall '11