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The reaction S_(2)O_(8)^(2-) + 3I^(-) rarr 2SO_(4)^(2-) + I_(3)^(-) is of first order both with respect to the persulphate and iodide ions. Taking the initial concentration as 'a' and 'b' respectively and taking x as the concentration of the trioxide at time t a differential rate equation can be written. Two suggested mechanisms for the reaction are: (I) S_(2)O_(8)^(2-)+I^(-) rarr SO_(4)I^(-)+SO_(4)^(2-)(fast) I^(-)+SO_(4)I^(-) overset(k_(1)) rarr I_(2) + SO_(4)^(2-)(slow) I^(-)+I_(2) overset (k_(2)) rarr I_(3)^(-)(fast) (II) S_(2)O_(8)^(2-)+I^(-) overset(k_(1)) rarr S_(2) O_(8) I^(3-)(slow) S_(2)O_(8)I^(3-) overset(k_(2)) rarr 2SO_(4)^(2-) +I^(+)(fast) I^(+)+I^(-) overset (k_(3)) rarr I_(2)(fast) I_(2)+I^(-) overset(k_(4)) rarr I_(3)^(-)(fast) The general differential equation for the above reaction is: |
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Answer» `(DX)/(DT) =K[a-x][b-3x]` |
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