the derivation of second order reaction rate constant expression when there are two different reactants are reacting.

Dear Neeta Gupta,

A second-order reaction depends on the concentrations of one second-order reactant, or two first-order reactants.

For a second order reaction, its reaction rate is given by:

 or  or 

In several popular kinetics books, the definition of the rate law for second-order reactions is . Conflating the 2 inside the constant for the first, derivative, form will only make it required in the second, integrated form (presented below). The option of keeping the 2 out of the constant in the derivative form is considered more correct, as it is almost always used in peer-reviewed literature, tables of rate constants, and simulation software.^[8]

The integrated second-order rate laws are respectively

or

[A]₀ and [B]₀ must be different to obtain that integrated equation.

The half-life equation for a second-order reaction dependent on one second-order reactant is . For a second-order reaction half-lives progressively double.

Another way to present the above rate laws is to take the log of both sides: 

Examples of a Second-order reaction

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