The rate expresison for the reaction: `NH_(4)CNO hArr NH_(2)CONH_(2)` can be derived form the mechanism: (i) `NH_(4)CNO underset(k_(2))overset(k_(1))hArr NH_(4)NCO ("Fast")` (ii) `NH_(4)CNO overset(k_(3))rarrNH_(3) + HNCO` ("fast") (iii) `NH_(3)+HNCo overset(k_(4))rarr NH_(2)CONH_(2)` (Slow) Which of the following statement `(s)` is/are correct about the rate expresison?A. `(d_(["urea]))/(dt) = (k_(1)k_(3))/(k_(2))[NH_(4)NCO]`B. `(d_(["urea]))/(dt) = (k_(1)k_(3))/(k_(2)k_(4))[NH_(4)NCO]`C. `(d_(["urea]))/(dt) = k[NH_(4)NCO]`D. `(d_(["urea]))/(dt) = (k_(1) xx k_(2))/(k_(3) xx k_(4))[NH_(4)NCO]`

The rate expresison for the reaction: `NH_(4)CNO hArr NH_(2)CONH_(2)`

1.	The rate expresison for the reaction: `NH_(4)CNO hArr NH_(2)CONH_(2)` can be derived form the mechanism: (i) `NH_(4)CNO underset(k_(2))overset(k_(1))hArr NH_(4)NCO ("Fast")` (ii) `NH_(4)CNO overset(k_(3))rarrNH_(3) + HNCO` ("fast") (iii) `NH_(3)+HNCo overset(k_(4))rarr NH_(2)CONH_(2)` (Slow) Which of the following statement `(s)` is/are correct about the rate expresison?A. `(d_(["urea]))/(dt) = (k_(1)k_(3))/(k_(2))[NH_(4)NCO]`B. `(d_(["urea]))/(dt) = (k_(1)k_(3))/(k_(2)k_(4))[NH_(4)NCO]`C. `(d_(["urea]))/(dt) = k[NH_(4)NCO]`D. `(d_(["urea]))/(dt) = (k_(1) xx k_(2))/(k_(3) xx k_(4))[NH_(4)NCO]`
Answer» Correct Answer - A::C `(d)/(dt)[NH_(2)CONH_(2)] = k_(4)[NH_(3)][HNCO]` from (iii) Applying steady state approximation to `HNCO` or `NH_(3)` `(d[HNCO])/(dt) = O = k_(3) [NH_(4)NCO]-k_(4)[NH_(3)][HNCO]` `:. (k_(3))/(k_(4)) = ([NH_(3)][HNCO])/([NH_(4)CNO])` `(d["urea"])/(dt) = k_(4) xx [NH_(3)][HNCO] = k_(4) xx (k_(3))/(k_(4))[NH_(4)NCO]` Also, `[NH_(4)NCO] = (k_(1))/(k_(2)) xx [NH_(4)CNO]` `:. (d["urea"])/(dt) = k_(3) xx (k_(1))/(k_(2)) xxx [NH_(4)CNO]` `= k[NH_(4)CNO]`

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