Predict the rate law of the following reaction based on the data given below :
`2A + B rarr C + 3D`
`{:("[A]M","[B]M","Magnitude of initial rate Ms"^(-1)),(1,1,x),(2,1,2x),(1,2,4x),(2,2,8x):}`

Options

A. Rate `=k[A][B]^(2)`
B. Rate `= k[A]^(2)[B]`
C. Rate `=k[A][B]`
D. rate `=k[A]^(2)[B]^(2)`

Answer

A

Explanation

Rate `=k[A]^(p)[B]^(q)`
Exp 1. `x = k(1)^(p)(1)^(q)`….(i)
Exp 2. `2x = k(2)^(p) (1)^(q)` ….(ii)
Exp 3. `4x = k(1)^(p)(2)^(q)`….(iii)
Exp 4. `8x = k(2)^(p)(2)^(q)`….(iv)
From (i) and (ii), p=1
From (i) and (iii), q = 1 ltbgt `:.` Rate law is, rate `=k[A][B]^(2)`.