The instataneous rate of disappearance of the `MnO_(4)^(-)` ion in the following reaction is `4.56 xx 10^(-3) Ms^(-1)`. Then the rate of appearance of `I_(2)` is :
`2MnO_(4)^(-)+10 I^(-)+16H^(+) rarr 2Mn^(2+)+5I_(2)+8H_(2)O`

Options

A. `1.14 xx 10^(-3) Ms^(-1)`
B. `5.7 xx 10^(-3) Ms^(-1)`
C. `4.56 xx 10^(-4) Ms^(-1)`
D. `1.14 xx 10^(-2) Ms^(-1)`

Answer

D

Explanation

`(d[MnO_(4)^(-)])/(d t) = 4.56 xx 10^(-3) Ms^(-1)`
`-(1)/(2) (d[MnO_(4)^(-)])/(d t) = +(1)/(5) (d[I_(2)])/(d t)`
`(d[I_(2)])/(d t) = (5)/(2) [-(d[MnO_(4)^(-)])/(d t)]`
`(d[I_(2)])/(d t) = (5)/(2) xx 4.56 xx 10^(-3)`
`=11.4xx10^(-2) Ms^(-1)`