For the reaction between A and B
` A+B to ` product
the following rate data were obtained .
`
the reaction is

Options

A. Zero order
B. first order
C. second order
D. third order

Answer

D

Explanation

Rate `=K[A]^(x)[B]^(y)`
for expt , (1) `1.2xx10^(-2)=k[0.1]^(x)[0.2]^(y) `
`(2) 3.6xx10^(-2)=k [ 0.3 ]^(x)[0.2]^(y)`
`(3) 4.8xx10^(-2)=k[0.3]^(x)[0.2]^(y)`
Dividing II by `I,3 =[3]^(x) therefore x=1`
Dividing III by ,I ,4 `=[2]^(y) therefore y=2`
order of reaction `x+y=1+2=3`