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First Order Reactions

Reversible First Order Reactions

\[ A \underset{k2} {\overset{k_1}{\rightleftharpoons}} P \]

A differential equation can be written for this reaction:

7. v = d[A]/dt = -k1[A] + k2[P]

This can be solved through integration to give the following equations:

08 revrxeq.gif

Graphs of A and P vs t for this reaction at two different sets of values of k1 and k2 are shown below.

Figure: Reversible First Order Reactions: A ↔ P

09 kinrevrx.gif

 


Consecutive First Order Reactions

11 consecrx.gif

For these reactions:

12 consecutierxderiv.gif

Graphs of A, B, and C vs t for these reaction at two different sets of values of k1 and k2 are shown below.

Figure: Consecutive Irreversible First Order Reactions: A → B → C

12.1 kinconsecutive.gif