# For the reaction 2A+2B →Products the following initial rates were obtained at various given inital concentrations

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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

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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.