The integrated rate law for a zero-order reaction is [A]t-[A]0=kt derive an equation for the half-life of a zero-order reaction.

Asked by  | 29th Nov, 2012, 11:47: AM

Expert Answer:

To illustrate this point, consider the reaction

A   ?   B

The rate of reaction, r, is given by

r = - d [A]

t

Suppose this reaction obeys a first-order rate law:

r = k [A]

This rate law can also be written as

r = - d [A]

t
k [A]

This equation is a differential equation that relates the rate of change in a concentration to the concentration itself. Integration of this equation produces the corresponding integrated rate law, which relates the concentration to time. When you viewed concentration-time curves in previous pages, you viewed the integrated rate laws.

d [A]

[A]
= k d t

At t = 0, the concentration of A is [A]0. The integrated rate law is thus

[A] = [A]0 ek t

Answered by  | 29th Nov, 2012, 03:58: PM

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