$\"\"$

The rate of change of chemical reaction is $\"\"$ .

Let $\"\"$ .

Rewrite the chemical reaction is

$\"\"$

The chemical reaction is $\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

Take common term of the equation.

$\"\"$

Find the maximum of $\"\"$ value by equating $\"\"$ .

$\"\"$

$\"\"$ .

The rate of chemical reaction is maximum at $\"\"$ .

$\"\"$

The rate of chemical reaction is maximum at $\"\"$ .