The following data were observed for the following reaction at `25^(@)C, CH_(3)OH + (C_(6)H_(5))_(3)C Clrarr(C_(6)H_(5))_(3)C.OCH_(3)+HCl`

Rates `(d[C])/(dt)` in sets I, II, and III are, respectively,
(in `M min^(-1)`):

Options

A. r=k[A][B]
B. r=k`[A]^3` [B]
C. `r=k [A][B]^2`
D. `r= k [A]^2 [B]^2`

Answer

B

Explanation

(II)Rate of Rxn=Rate of formation of C
They we say by I data.
Suppose `["Rate"=k[A]^a[B]^b]`…(i)
`1.32xx10^(-4)=k[.10]^a[.05]^b`…(ii)
`2.6xx10^(-4)=k[.10]^a[.10]^b`…(iii)
`1.02xx10^(-3)=k[.20]^a[.10]^b`…(iv)
By equation (ii) and (iii) we find b=1
By (iii) and (iv) we find `a=2.97~~3`
Then Rate `=k[A]^3[B]^1`