7th edition 7B.13

[Saachi_Kotia_4E]

how do you find the time it takes for the second order reactions to take place in 7B.13? what formula do we need to use?

[Anusha 1H]

you use the half life equation for second order reactions first. With it, you can use the half life and [A]0 value they give you to solve for k.

once you have k, you can solve for the t values by using the integrated rate law equation
(you'll have to use (1/n)([A]o) where 1/n represents the concentration decrease)

[Andrew Bennecke]

The half-life of A in a second-order reaction is 50.5 s when [A]not=0.9=84 mol*L^-1. Calculate the time needed for the concentration of of A to decrease to (a) one-sixteenth; (b)one-fourth; (c) one-fifth of its original value.

Plugging-in the calculated k value and the given initial concentration into the integrated rate law equation, the only variable left to solve for is t.

[taywebb]

First, you find k using the second order half-life equation, then you isolate t in the integrated rate law to solve for it. Because we already have the ratio of initial to final concentrations, you can use that to relate the two fractions together, making [A]t the same as [A]0. You can then subtract using the ratio and plug in the k you solved for and the given initial concentration.