A study of chemical kinetics of the reaction `A + B to` products, gave the following data at `25^@C`:

Find : (1) The order of reaction with respect to A. (2) The order of reaction with respect to B. (3) The rate law.

Explanation

For the given reaction, rate `=k[A]^x [B]^Y`
For experiment (1), `4.20 xx 10^(-6) =k[1.0]^x [0.15]^y` ...(1)
For experiment (2), `8.40 xx 10^(-6) =k [2.0]^x [0.15]^y`
For experiment (3), `5.60 xx 10^(-6) =k [1.0]^x [0.20]^y `
Determination of x. In order to determine x, divide equation (2) by (1)
` ( 8.40 xx 10^(-6))/( 4.20 xx 10^(-6)) = ([ 2.0]^x [0.15]^x)/([1.0]^x [0.15]^y) oor (2)^1 = (2)^x or x=1`
Determination of y. In order to determine the value of y, divide equation (3) by (1)
` ( 5.60 xx 10^(-6))/( 4.20 xx 10^(-6)) = ([1.0]^x [ 0.20 ]^y )/( [1.0 ]^x [0.15]^y)`
or ` ( 1.333)^1 = ( 1.333)^y or y=1`
Thus, order of reaction with respect to A = 1