For the reactions `:`
`4KClO _(3) rarr 3KClO_(4)+KCl`
if `" "-(d[KClO_(3)])/(dt)=k_(1)[KClO_(3)]^(4)`
`(d[KClO_(4)])/(dt)=k_(2)[KClO_(3)]^(4)`
`(d[KCl])/(dt)=k_(3)[KClO_(3)]^(4)`
the correct relation between `k_(1),k_(2) & k_(3)` is `:`

Options

A. `k_(1)=k_(2)=k_(3)`
B. `4k_(1)=3k_(2)=k_(3)`
C. `3k_(1)=4k_(2)=12k_(3)`
D. none of these

Answer

C

Explanation

Rate `=-(1)/(4)(d[KClO_(3)])/(dt)=(1)/(3)(d[KClO_(4)])/(dt)=(d[KCl])/(dt)`
or `(k_(1))/(4)[KClO_(3)]^(4)=k_(2)/3[KClO_(4)]^(4)=k_(3)[KClO_(4)]^(4)`
or `3k_(1)=4k_(2)=12k_(3)`