For a first order reaction, the time taken for the initial concentration to become 1/4th, is 10 minutes. What will be the time required to reduce the initial concentration to 1/16 of the initial value?
A
10 min
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B
20 min
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C
30 min
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D
40 min
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Solution
The correct option is B 20 min The time required to reduce the initial concentration to a factor 1/4 is 10 min.
So, half life of the reaction is (t12) = 5 min. ∴ The time required to reduce the initial concentration to a factor 1/16 i.e. 4 half lives is = (5×4) min = 20 min.