NCERT Class XII Chemistry
Chapter - Chemical Kinetics
Questions with Solutions

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Question : 16
Total: 39
The rate constant for a first order reaction is 60 s1. How much time will it take to reduce the initial concentration of the reactant to its 1/16th value?
Solution:  
Given, k=60 s1,
[R0 ]= [R0 ][R]=
[R0 ]
16
,t=?

Using formula, t=
2.303
k
log
[R0
[R]

=
2.303
60
log
16
=4.62×102 s

Alternatively, In general, amount of the substance left after n half lives,
R=
[R0 ]
2n
=
[R0 ]
16

n=4 and t=n×t12;
t=n×
0.693
k

=4×
0.693
60
=0.0462 s
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