Chapter 11, Problem 121QRT

If you know some calculus, derive the integrated first-order rate law for the reaction

$2\text{A}\to \text{products}$

by following these steps:

1. (i) Define the reaction rate in terms of [A].
2. (ii) Write the rate law in terms of [A], k, and t.
3. (iii) Separate variables in the rate law.
4. (iv) Integrate the rate law.
5. (v) Write the integrated equation in the form $y=mx+b$.
6. (vi) Derive the half-life as was done in Section 11-3c.