NCERT Class XII Chemistry
Chapter - Chemical Kinetics
Questions with Solutions

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Question : 18
Total: 39
For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction.
Solution:  
99% completion means that x=99% of [R0 ]
or, [R]= [R0 ]0.99 [R0 ]
=0.01 [R0 ]
For first order reaction, t=
2.303
k
log
[R0 ]
[R]

t99%=
2.303
k
log
[R0 ]
0.01 [R0]

=
2.303
k
log
102
=2×
2.303
k

90% completion means that [R]= [R0 ]0.90 R0]
=0.1 [R0 ]
t90%=
2.303
k
log
[R0 ]
0.1 [R0 ]

=
2.303
k
log
10
=
2.303
k

t99%
t90%
= (
2×2.303
k
)
(
2.303
k
)
=2

or, t99%=2×t90%
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