For a reaction `1//2 A rarr 2B` rate of disappearance of A is related to rate of appearance of B by the expression

Options

A. `-(d[A])/(dt)= (1)/(4)(d[B])/(dt)`
B. `-(d[A])/(dt)= (4)(d[B])/(dt)`
C. `-(d[A])/(dt)= (1)/(2)(d[B])/(dt)`
D. `-(d[A])/(dt)= (d[B])/(dt)`

Answer

A

Explanation

`(1)/(2)A rarr 2B`
`-(1)/(1 // 2)(d[A])/(dt)=(1)/(2)(d[B])/(dt)`
or `-(2d[A])/(dt)=(1)/(2)(d[B])/(dt) implies (-d[A])/(dt)=(1)/(4)(d[B])/(dt)`