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.

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the answer is true. hope it .