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Unformatted text preview: 5.5. CHEMICAL KINETICS OF A SINGLE ISOTHERMAL REACTION 185 5.5.2 Isobaric systems The form of the previous section is the most important as it is easily extended to a Cartesian grid with fixed volume elements in fluid flow problems. However, there is another important spatially homogeneous problem in which the formulation needs slight modification: isobaric reaction, with P equal to a constant. Again, in this section only isothermal conditions will be considered. In an isobaric problem, there can be volume change. Consider first the problem of isobaric expansion of an inert mixture. In such a mixture, the total number of moles of each species must be constant, so one gets dn i dt = 0 , inert, isobaric mixture. (5.331) Now carry out the sequence of operations, realizing the the total mass m is also constant: 1 m d dt ( n i ) = 0 , (5.332) d dt parenleftBig n i m parenrightBig = 0 , (5.333) d dt parenleftbigg n i V V m parenrightbigg = 0 , (5.334) d dt parenleftbigg ρ i ρ parenrightbigg...
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- Fall '11
- Dynamics, dt, J. M. Powers, ρi dρ, Isobaric systems