NCERT Class XII Chemistry
Chapter - Chemical Kinetics
Questions with Solutions

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Question : 25
Total: 39
Sucrose decomposes in acid solution into glucose and fructose according to the first order rate law, with t12 = 3.00 hours. What fraction of sample of sucrose remains after 8 hours ?
Solution:  
Sucrose decomposes according to first order rate law, hence
k=
2.303
t
log
[R0 ]
[R]
,

t12=3hrs,
t=8 hrs,
[R]
[R0 ]
=?

t12=3.0 hrs,
k=
0.693
t12

=
0.693
3
=0.231hr1

Hence, 0.231=
2.303
8
log
[R0 ]
[R]

or, log
[R0 ]
[R]
=0.8024

or,
[R0 ]
[R]
=
Antilog (0.8024)=6.345
or,
[R]
[R0 ]
=
1
6.345
=0.158
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