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A first order reaction is half-completed in 45 minutes. How long does it need for 99.9 % of the reaction to be completed ?
 

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By Expert Faculty of Sri Chaitanya
a
20 hours
 
b
10 hours
 
c
7 12 hours
 
d
5 hours

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detailed solution

Correct option is C

t1/2=45 minutes For 1st order reaction t1/2=0.693k k=0.69345min1=0.0154min1  Again for 1st order reaction we have  k=2.303tlog10010099.9  (considering original concentration to be 100)   t=2.303klog[1000.1] t=2.3030.0154log1000 t=2.3030.0154×3=448.636 mintes t=7310-=712hours

 


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