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Determine the \mathrm{t_{50 \%}} of the Reaction \mathrm{A \rightarrow} Product. Follow first order reaction if 20 % of reaction is completed in 20 min. Initial concentration of A is =4 M.

Option: 1

76.5 min


Option: 2

65.6 min


Option: 3

70.7 min


Option: 4

80.5 min


Answers (1)

best_answer

First order reaction 

\begin{aligned} &\mathrm{ K=\frac{2 \cdot 303}{t} \operatorname{log}\left(\frac{A_0}{A_0-x}\right) }\\ \\& \mathrm{k=\frac{2.303}{20} \log \left(\frac{100}{80}\right)=0.0098 \mathrm{~min}^{-}} \\ \\&\mathrm{ t_{1 / 2}=\frac{0.693}{k}=\frac{0.643}{0.0098}=70.7 \mathrm{~min}} \\ & \end{aligned}

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Deependra Verma

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