The reaction `2A + B + C rarr D + 2E` is found to be first order in `A`, second order in `B` and zero order in `C`.
(a) Write the rate expresison.
(b) What is the effect on rate on increaisng the concentration of `A, B`, and `C` two times ?

Explanation

(a) Rate `= k[A]^(1)[B]^(2)[C ]^(0)`
(b) Let the initial concentration of `A, B` and `C` be `a, b`, and `c mol L^(-1)`, respectively.
Then, rate `r_(1) = k a^(1)b^(2)c^(0)` …(i)
Now if concentrations of `A, B`, and `C` are double, i.e., `2a, 2b`, and `2c`, respectively.
`r_(2) = k(2a)^(1)(2b)^(2)(2c)^(0)` ...(ii)
By Eqs. (i) and (ii), `(r_(1))/(r_(2)) = (1)/(8) :. r_(2) = 8r_(1)`.