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  • The thermal decomposition of a compound follows first-crder kinetics. If of the compound decomposes in 20 minutes,

The thermal decomposition of a compound follows first-crder kinetics. If 30\% of the compound decomposes in 20 minutes, what is the hall-life of the reaction?

Option: 1

10 \mathrm{~min}


Option: 2

20 \mathrm{~min}


Option: 3

30 \mathrm{~min}


Option: 4

40 \mathrm{~min}


Answers (1)

best_answer

First order integrated Rate Equation

\mathrm{ k=\frac{2.303}{t} \times \log \left(\frac{10}{A}\right)=\frac{2.303}{20} \times \log \left(\frac{100}{70}\right) }
\mathrm{ k=\frac{2.303}{20} \times \log \left(\frac{10}{7}\right) }
Half life
\mathrm{ t_{1/2}=\frac{0.693}{k}=\frac{0.693 \times 20}{2.303 \times \log \left(\frac{10}{7}\right)} }

\mathrm{ t_{1 / 2}=38.86 \, \mathrm{mim}= 40 \mathrm{~min} }.
\mathrm{ t_{1 / 2}=40 \mathrm{~min} }

Posted by

rishi.raj

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