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)^(-3)(aq))+5Br^(-)(aq)+6H^(+)(aq)to(3Br_(2)(l))+3H_(2)O(aq)`

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)`