During the kinetic study of the reaction,
`2A+BtoC+D`, following results were obtained

Order of the reaction is

Options

A. 2
B. 3
C. 1
D. 0

Answer

B

Explanation

Let the rate of reaction be given by, rate=`k[A]^(a)[B]^(b)`
Now, consider II and III. Where [A] is constant.
`(7.2xx10^(-2))/(2.88xx10^(-1))=([0.3]^(a)[0.2]^(b))/([0.3]^(a)[0.4]^(b))`
`(1)/(4)=((1)/(2))^(b)impliesb=2`
Now, consider I and IV, where [B] is constant.
`(6.0xx10^(-3))/(2.4xx10^(-2))=([0.1]^(a)[0.1]^(b))/([0.4]^(a)[0.1]^(b))`
`(1)/(4)=((1)/(4))^(b)impliesa=1`
`therefore" Rate"=k[A][B]^(2)`, order=3