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  • For a first order reaction, the time taken to reduce the initial concentration to a factor of 1/4 is 10 minute If the reduction in concentration is carried out to a factor of 1/16, then time r

For a first order reaction, the time taken to reduce the initial concentration to a factor of 1/4 is 10 minute If the reduction in concentration is carried out to a factor of 1/16, then time required will be

 

Option: 1

10 minutes 


Option: 2

20 minutes 


Option: 3

40 minutes 


Option: 4

160 minutes


Answers (1)

best_answer

For a first order reaction, rate constant K is given by
\mathrm{\mathrm{K} =\frac{1}{t _1} \times \ln \left(\frac{A_o}{A _1}\right)=\frac{1}{t _2} \times \ln \left(\frac{A_o}{A_2}\right) }

\mathrm{\Rightarrow \frac{1}{10} \times \ln \left(\frac{A_o}{A_o / 4}\right)=\frac{1}{t 2} \times \ln \left(\frac{A_o}{A _o / 16}\right) \\ }

\mathrm{\Rightarrow \mathrm{t}_2 \ln 4=10 \ln 16 \\}

\mathrm{ \Rightarrow \mathrm{t}_2 \ln 4=10 \times 2 \ln 4 }

\mathrm{\Rightarrow \mathrm{t}_2=20 \text { minutes }}

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shivangi.shekhar

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