What will be the order of reaction of the type `A to ` Product for which the following data were obtained ?

Explanation

Since the specific reaction rate k is the rate when reactant concentration is unity , we see from data (i)
k = 1 as
d[A] dt = 1 at [A] = 1 .
From data (ii) or (iii) we thus have ,
`(d[A])/(dt) = k[A]^(m) ` , (m is the order )
`(d[A])/(dt) = 1 " at " [A] = 1 `
From data (ii) or (iii) we thus have ,
`(d[A])/(dt) = k[A]^(m) ` , (m is the order)
` or 8 = 1 .(2)^(m)`
or `2^(3) = 2^(m) or m = 3 `
Again ` 27 = 1.(3)^(m)`
` 3^(m) = 3^(m)`
or m = 3
Hence the order is three .