1.

For a reaction ` A + B to C + 2D` , experimental results were collected for three trials and the data obtained are given below The correct rate law of the reaction isA. Rate = k`[A]^(0) [B]^(2)`B. Rate = k`[A][B]^(2)`C. Rate = k`[A][B]`D. Rate = k`[A] [B]^(0)`

Answer» Correct Answer - a
Let the rate according to the rate law = `k [A]^(x) [B]^(y)`
Then from the experiments
`5.5 xx 10^(-4) = k [0.4]^(x) [0.2]^(y) ….. (i)`
`5.5 xx 10^(-4) = k[0.8]^(x) [0.2]^(y) …. (ii)`
`2.2 xx 10^(-3) = k [0.4]^(x) [0.4]^(y) …. (iii)`
From equation (i) and (ii)
`(5.5 xx 10^(-4))/(5.5 xx 10^(-4)) = (k[0.4]^(x) [0.2]^(y))/(k[0.8]^(x) [0.4]^(y))`
`(1)/(4) = ((0.2)/(0.4))^(y) = ((1)/(2))^(y) implies y = 2`
Thus , rate law
Rate = `k[A]^(0) [B]^(2)`


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