For a reaction in which `A` and `B` form `C`, the following data were obtained form theee experiments:

What is the rate equation of the equation and what is the value of rate constant ?

Explanation

Let the rate equation be `k[A]^(x)[B]^(y)`.
form experiment (1), `0.3 xx 10^(-4) = k[0.03]^(x)[0.03]^(y)` …(i)
form experiment (2), `1.2 xx 10^(-4) = k[0.06]^(x)[0.06]^(y)` …(ii)
`(1.2 xx 10^(-4))/(0.3 xx 10^(-4)) = ([0.06]^(x) [0.06]^(y))/([0.03]^(x)[0.03]^(y))`
`4 = 2^(x) xx 2^(y)` ...(iii)
ismilarly, form experiments (1) and (3),
`2^(x) xx 3^(y) = 9` ...(iv)
Solving Eq. (iii) and (iv), we get
`x = 0, y = 2`
Rate equation , rate `= k[B]^(2)`
Conisdering Eq. (i) again,
`k = (0.3 xx 10^(-4))/([0.03]^(2)) = 3.33 xx 10^(-2) mol^(-1) L s^(-1)`