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_(2)])/(dt) =-(d[Br^(-)])/(dt)`
B. `(d[Br_(2)])/(dt) =(3)/(5)(d[Br^(-)])/(dt)`
C. `(d[Br_(2)])/(dt) =(-3)/(5)(d[Br^(-)])/(dt)`
D. `(d[Br_(2)])/(dt) =(-5)/(3)(d[Br^(-)])/(dt)`

Answer

C

Explanation

`BrO_(3)^(-) (aq) + 5Br^(-) (aq) + 6H^(+) rArr 3Br_(2) (l) + H_(2)O(l)`
rate `=-(1)/(5) (d[Br^(-)])/(dt)=(1)/(3) (d[Br_(2)])/(dt)`
`(d[Br_(2)])/(dt) =(-3)/(5) (d[Br^(-)])/(dt)`