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Q.

For the first order reaction half-life is 14 sec, the time required for the initial concentration to reduce to 1/8 of its value is: 

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a

142 sec

b

143 sec

c

28 sec

d

42 sec

answer is C.

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Detailed Solution

t1/2=14 sec, N=N08

NNo=12nN8No=12n⇒123=12n⇒n=3t=nt1/2=3×14=42 sec

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For the first order reaction half-life is 14 sec, the time required for the initial concentration to reduce to 1/8 of its value is: