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  • Consider a reaction follow the first order kinetics wi

Consider a reaction \mathrm{A \rightarrow B+C} follow the first order kinetics with rate constant \mathrm{( k ) \: 0.02 \mathrm{~s}^{-1}}. What percentage of A will be left after after 5 half-lives?

Option: 1

3.125 %


Option: 2

6.25%


Option: 3

12.5%


Option: 4

25%


Answers (1)

best_answer

For a first order reaction
\mathrm{t_{1 / 2}=\frac{0.693}{k}=\frac{0.693}{0.02}=34.65 \mathrm{~s}^{-1}}

\mathrm{%} of \mathrm{A} left \mathrm{\frac{A_{E}}{A_{0}} \times 100}

\mathrm{ |A|_{t}=(A)_{0}\left(\frac{1}{2}\right)^{n} \quad(n=\text { wong half lifes })}
\mathrm{ |A|_{t}=\frac{[A]_{0}}{2}\left(\frac{1}{2}\right)^{5}=\frac{ [A] _{0}}{32}}

\mathrm{ %\, of\, A\, left= \frac{[A]_{0}}{[A]_{0}}\times 100= \frac{[A]_{0}/32}{[A]_{0}}\times 100}
                        \mathrm{ = 3.125%}

Posted by

Kuldeep Maurya

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