Use mathematical software or an electronic spreadsheet to examine thetime dependence of [i] in the reaction mechanism a →i→p (k1,k2). youmay either integrate eqn 22.39 numerically (seeappendix2) or use eqn 22.40directly. in all the following calculations, use [a]0=1 mol dm−3and a timerange of 0 to 5 s. (a) plot [i] against tfork1=10 s−1andk2=1 s−1. (b) increasethe ratio k2/k1steadily by decreasing the value of k1and examine the plot of [i]againsttat each turn. what approximation about d[i]/dtbecomesincreasingly valid?

Here's what I get  

Explanation:

(a) Plot I against t

I assume that Equation 22.40 is something like

If the initial conditions are  

[A]₀ = 1.0 mol·dm⁻³; k₁ = 10 s⁻¹; k₂ = 1 s⁻¹

The equation becomes  

The graph of [I] vs t is shown in Fig 1.

(b) Increasing k₂/k₁ ratio

In Fig. 2, I added the same plots, but with k₂ = 3, 11, and 51 s⁻¹ (black, green and purple).  

The graphs show that, as k₂ becomes increasingly greater than k₁, the maximum concentration of I becomes smaller and the graph becomes (except for the very beginning) a flat line.

Thus, the approximation that

becomes increasingly valid.

explanation: it gains negative electrons, therefore becoming negatively charged. as charge cannot be created, nor destroyed, only transferred, this leaves the wool positive. now that they have opposite charges, the two items attract.