# How do you find the integrated rate laws for zeroth, first, and second order reactions?

##### 1 Answer

We integrate the differential rate laws.

#### Explanation:

Here's how to do it.

**Integrated rate law for zero order reaction**

The differential rate law is

Rearrange this to give

Integrate both sides of the equation.

Solve for **zeroth-order integrated rate law**:

**Integrated rate law for first order reaction**

The differential rate law is

Rearrange this to give

Integrate both sides of the equation.

Solve for **first-order integrated rate law**:

**Integrated rate law for second-order reaction**

The differential rate law is

Rearrange this to give

Integrate both sides of the equation.

The final version of the **second-order integrated rate law** is: