# How the shapes of the plots [dye] vs time, ln[dye] vs time, and 1/[dye] vs time are used to determine the order of the reaction with respect to the dye concentration?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

**Warning! Long Answer.** They come from the integrated rate laws for zero-, first-, and second-order reactions.

#### Explanation:

Chemists like to plot graphs that are straight lines.

**Zero-order reactions**

The integrated rate law is

Compare this with the equation for a straight line.

If we let

Thus, if a plot of

**First-order reactions**

The integrated rate law is

Compare this with the equation for a straight line.

If we let

Thus, if a plot of

**Second-order reactions**

The integrated rate law is

Compare this with the equation for a straight line.

If we let

Thus, if a plot of

Thus, you plot [dye] vs time, ln[dye] vs time, and 1/[dye] vs time.

The graph that is a straight line gives you the order of the reaction.

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