Question

For the reaction

2A+2B  →Products

the following initial rates were obtained at various given inital concentrations

S.no	[A]	[B]	Rate (mol L-1 sec-1)
1.	0.1	0.2	0.46
2.	0.2	0.2	1.84
3.	0.2	0.1	0.92

The specific rate constant for the reaction is

(a) 2.3 sec^-1

(b) 0.46 L mol^-1 sec^-1

(c) 2.3 x 10²L²mol^-1sec^-1

(d) 1.125 x 10²L² mol^-1sec^-1

Answer 1

Correct Option  (d) 1.125 x 10²L² mol^-1sec^-1

Explanation: 

From data (1) and (2) we observe that

On doubling the concentration of A, rate become four times

:. order w.r.t A = 2

 From data (2) and (3) we observe that

On making the concentration of B to one half, rate also become one half.

:. order w.r.t B = 1

overall order = 3 

As only (d) option have unit of rate constant corresponds to third order.