ECHH256MidTerm_2014

For a non isothermal reaction in which heat transport

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Unformatted text preview: reaction, in which heat transport is by conduction only, the steady state temperature profile in the liquid drop is given by r2 r r2 T Hrxn r r 0, 0 r R where is the thermal conductivity of the liquid and Hrxn is the heat of reaction. You may assume all physical parameters are effectively constant. Show that the temperature anywhere in the drop is given by Hrxn A CAR T r TR 1 A r , where A CA r CAR A where A is the stoichiometric coefficient of species A in the reaction. (iii) For an exothermic reaction show that the rate constant can be expressed as k T where a k TR Exp 1 A 1 1 A , where a R TR , Hrxn TR A CAR R TR (iv) Use the result from (iii) to show that concentration of species A in the drop is given by 2 A 2 2 2 Exp A 1 A 1 1 A 0, 0 1 BC1 : 0, A 0 ECHH256MidTerm_2014.nb 3 BC2 : where r R, A 1, A 1 CA CAR , R k TR A Problem 3 Cons...
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This document was uploaded on 03/14/2014.

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