Question: 8 ralarr,0Lenovochegg expert login - SearchQ&A Expert Sign up - Chegg IncProblems - AUT_Chemistry_1xoutlook.office.com/mail/oauth心

Question

Question: 8 ﻿ralarr,0Lenovochegg expert login - ﻿SearchQ&A Expert Sign up - ﻿Chegg IncProblems - ﻿AUT_Chemistry_1xoutlook.office.com/mail/oauth心

Anu Bhardwaj · Accepted Answer

Let's solve this step-by-step. The question involves third-order kinetics for the reaction:

$ext{A} ightarrow ext{P}$

Order of reaction: 3rd order
Initial concentration
$[A]_0 = 0.02 ext{ mol dm}^{-3}$
% decomposition: 40%
⇒ Final concentration,
$[A] = 60\% ext{ of initial} = 0.6 imes 0.02 = 0.012 ext{ mol dm}^{-3}$
Rate constant
$k = 0.0095 \, ext{dm}^6\, ext{mol}^{-2}\, ext{s}^{-1}$

For a third-order reaction, the integrated rate law is:

$\frac{1}{[A]^2} - \frac{1}{[A]_0^2} = 2kt$

We want to solve for t (time):

$t = \frac{1}{2 k}$

Computer science