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The half life period and initial concentration for a reaction as follows. What is order of reaction?

 Initial concentration (M)  350  540  158
 t1/2 (hr)  425  275  941

 

Option: 1

2


Option: 2

1


Option: 3

0


Option: 4

3


Answers (1)

best_answer

How to Determine Order of Reaction:

The half-Life Method is used when the rate law involves only one concentration term.

\mathrm{t_{1 / 2} \propto(a)^{1-n}} 

Now,
\begin{array}{l}{\text { For I } \Rightarrow 425 \propto(350)^{1-n}} \\\\ {\text { For II } \Rightarrow 275 \propto(540)^{1-n}} \\\\ {\text { For III } \Rightarrow 941 \propto(158)^{1-n}} \end{array}

\\\\ {\text { By I and II, \: \: } \frac{425}{275}=\left(\frac{350}{540}\right)^{1-n}}

\\\\ \text { Taking } \log \\\\ \Rightarrow \log \frac{425}{275}=(1-n) \log \frac{350}{540} \\\\\Rightarrow n=2

Posted by

himanshu.meshram

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