The rate of decay of a chemical involved in a reaction that is second order (bimolecular) in one reactant a is given by: = k [aj? -d[a/dt where k is the reaction rate coefficient. derive an expression for the half-life of a in terms of k and the concentration of a at time t-0 (ao)

Explanation:

According to mass action,

Where, k is the rate constant

So,

Integrating and applying limits,

we get:

Where,

is the concentration at time t

is the initial concentration

Half life is the time when the concentration reduced to half.

So,

Applying in the equation as:

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