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For a first order reaction, the time taken to reduce the initial concentration by a factor of 1/4 is 20 minutes. The time required to reduce initial concentration by a factor of 1/16 is
Options
(a) 20 min
(b) 10 min
(c) 80 min
(d) 40 min
Correct Answer:
40 min
Explanation:
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■Case-1 =Let initial conc.is R and final conc.is R/4 so, k=2.303 ×[logR/(R/4)]×1/20 ● {20 min is time]● =》k=0.0693 sec^-1 ■Case -2 = for 1/16 to be reduce time=2.303 ×log16×1/0.093=40min.