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

Options

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

Answer

B

Explanation

For the reaction `1/2 A rarr 2B` the instantaneous rate are
`(dx)/(dt)=(-2d[A])/(dt)=+(d[B])/(2dt)=1/4(d][B])/(dt)`