For a reaction between A and B, the initial rate of reaction is measured for various initial concentration of A and B. The data provided are
`{:("[A]","[B]","Initial reaction rate"),("(a) 0.02 M","0.30 M",5xx10^(-5)),("(b) 0.20 M","0.10 M",5xx10^(-5)),("(c) 0.40 M","0.05 M",1xx10^(-4)):}`
The overall order of the reaction is

Options

A. One (1)
B. Two (2)
C. Two and a half (2.5)
D. Three (3)

Answer

A

Explanation

`r = k[A]^(m)[B]^(n)`
`5 xx 1-0^(-5) =k[0.2]^(m)[0.3]^(n)`…(i)
`5xx10^(-5) = k[0.2]^(m)[0.1]^(n)`….(ii)
`1.0 xx 10^(-4) =k[0.4]^(m)[0.05]^(n)`…(iii)
`(i) div (ii)`
`1=3^(n) rArr n =0`
`(iii) div (i)`
`2=(2)^(m)(5//30)^(n)`
But `n=0`
`:. (2)^(m)=2 rArrm=1`
Therefore, ratwe law expression is
rate `=k[A][B]^(0)`
`:.` Order `=1+0=1`