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  • Consider the reaction initial conc. of A is 1M. 20 minutes time is r

Consider the reaction

A\rightarrow B+C

initial conc. of A is 1M. 20 minutes time is required for completion of 20% reaction.If \frac{\mathrm{d} B}{\mathrm{d} t}=k[A],then\: \: half \: \: life\left ( t_{1/2} \right )is

Option: 1

55.44 min


Option: 2

50 min


Option: 3

62.13 min


Option: 4

None of these


Answers (1)

best_answer

hint: \ln \frac{A_{t}}{A_{0}}=-Kt,A_{t}=1*\frac{80}{100}=0.80M,A_{0}=1M

 

ln((A_o/2)/A_o)=-kt_{1/2}\\ \ ln((.8)/1)=-k20\\ln2/ln.8=t_{1/2}/20\\t_{1/2}=62.13\ min

Posted by

Divya Prakash Singh

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