# 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 = -k_{1}[A] + k_{2}[P]

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

Graphs of A and P vs t for this reaction at two different sets of values of k_{1} and k_{2} are shown below.

Figure: Reversible First Order Reactions: A ↔ P

### Consecutive First Order Reactions

For these reactions:

Graphs of A, B, and C vs t for these reaction at two different sets of values of k_{1} and k_{2} are shown below.

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

- Reactions Kinetics: Java Applet- Zero, First, and Second Order Reactions
- Graphical determination of reaction order from initial rates