NCERT Class XII Chemistry
Chapter - Chemical Kinetics
Questions with Solutions

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Question : 19
Total: 39
A first order reaction takes 40 min for 30% decomposition. Calculate t12.
Solution:  
30% decomposition means that x = 30% of [R0]
or, [R]= [R0]0.3 [R0 ]
=0.7 [R0 ]
For reaction of 1 st order, k=
2.303
t
log
[R]0
[R]

=
2.303
40
log
[R0 ]
0.70 [R0 ]

=
2.303
40
log
10
7
min1

=
2.303
40
×0.1549min1

=8.918×103min1
For a 1 st order reaction,t12=
0.693
k

=
0.693
8.918×103 min1

=77.7 min
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