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Unformatted text preview: 5.7. SIMPLE ONE-STEP KINETICS 201 Define forward and reverse reaction coefficients, R , and R , respectively, as R k ( T ) N productdisplay i =1 i i , (5.483) R k ( T ) K c N productdisplay i =1 i i . (5.484) Both R and R have units of kmole/m 3 /s . It is easy to see that r = R R . (5.485) Note that since k ( T ) > 0, K c > 0, and i 0, that both R 0 and R 0. Since i = i i , one finds that 1 K c N productdisplay i =1 i i = 1 K c k ( T ) k ( T ) N productdisplay i =1 i i i = R R . (5.486) Then Eq. (5.482) reduces to dS dt vextendsingle vextendsingle vextendsingle vextendsingle U,V = RV R parenleftbigg 1 R R parenrightbigg ln parenleftbigg R R parenrightbigg . (5.487) Finally, we get dS dt vextendsingle vextendsingle vextendsingle vextendsingle U,V = RV ( R R ) ln parenleftbigg...
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- Fall '11