In the following reaction, how is the rate of appearance of the underlined Product related to the rate of disappearance of the underlined reactant ?
`BrO_(3)^(ɵ)(aq) + 5underline(Br)^(ɵ)(aq) + 6H^(o+) (aq) rarr 3underline(Br_(2))(l) + 3H_(2)O(l)`

Options

A. `(d[Br])/(d t) = (5)/(3) (-d[Br^(ɵ)])/(d t)`
B. `(d[Br_(2)])/(d t) = (-d[Br^(ɵ)])/(d t)`
C. `(d[Br_(2)])/(d t) = -(d[Br^(ɵ)])/(d t)`
D. `(d[Br_(2)])/(d t) = (3)/(5)(-d[Br^(ɵ)])/(d t)`

Answer

D

Explanation

For reaction:
`BrO_(3)^(ɵ)(aq) + 5Br^(ɵ)(aq) + 6H^(o+) (aq) rarr 3Br_(2)(l) + 3H_(2)O(l)`
Rate `= (1)/(5) (-d[Br^(ɵ)])/(d t) = (1)/(3) (+d[Br_(2)])/(d t)`
`= (d[Br_(2)])/(d t) = (3)/(5) (-d[Br^(ɵ)])/(d t)`