For a reaction `aA +b B rarr` products the following data were found
`{:(,[A],[B],"rate",),(,0.10,0.10,1xx10^(-2),),(,0.20,0.20,8xx10^(-2),),(,0.10,0.20,2xx10^(-2),):}`
The overall order of reaction is

Options

A. 3
B. 1
C. zero
D. 2

Answer

A

Explanation

Rate `=k[A]^(x)[B]^(y)`
Order of reaction = x + y
`(r_(2))/(r_(3)) =(8xx10^(-2))/(2xx10^(-2))=((0.2)^(x)xx(0.2)^(y))/((0.1)^(x)(0.2)^(y))`
or `4=(2)^(x)`
or x = 2 w.r.t. A.
`(r_(3))/(r_(1))=(2xx10^(-2))/(1xx10^(-2))=((0.2)^(x)xx(0.2)^(y))/((0.1)^(x)(0.1)^(y))`
or `2=(2)^(y)`
`therefore y = 1` w.r.t. B
`therefore` order of reaction `= 2+1=3`