Class 12 Chemistry - Chapter Chemical Kinetics NCERT Solutions | For the reaction: 2A + B → A2B

Welcome to the NCERT Solutions for Class 12th Chemistry - Chapter Chemical Kinetics. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 2: for the reaction 2a b rarr a2b the rate....
Question 2

For the reaction:

2A + B → A2B

the rate = k[A][B]2with k= 2.0 x 10-6mol-2L2s-1. Calculate the initial rate of the reaction when [A] = 0.1 mol L-1, [B] = 0.2 mol L-1. Calculate the rate of reaction after [A] is reduced to 0.06 mol L-1.

Answer

The initial rate of the reaction is

Rate = k [A][B]2

= (2.0 × 10 - 6mol - 2L2s - 1) (0.1 mol L - 1) (0.2 mol L - 1)2

= 8.0 × 10 - 9mol - 2L2s - 1

When [A] is reduced from 0.1 mol L - 1to 0.06 mol - 1, the concentration of A reacted = (0.1 - 0.06) mol L - 1 = 0.04 mol L - 1

Therefore, concentration of B reacted= 1/2 x 0.04 mol L-1 = 0.02 mol L - 1

Then, concentration of B available, [B] = (0.2 - 0.02) mol L - 1

= 0.18 mol L - 1

After [A] is reduced to 0.06 mol L - 1, the rate of the reaction is given by,

Rate = k [A][B]2

= (2.0 × 10 - 6mol - 2L2s - 1) (0.06 mol L - 1) (0.18 mol L - 1)2

= 3.89 mol L - 1s - 1

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