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Zero and first order integrated rate laws
JEE Main level
Numerical answer
Difficulty 2 of 3
ck042
A first order reaction has a half-life of
30
min
. Find the time for
99%
completion in minutes (nearest integer; use
ln
2
=
0.693
and
ln
10
=
2.303
).
Numerical answer type, answer in min, tolerance 1.
Answer: 199.3939 min
k
=
0.693/30
=
0.0231
mi
n
−
1
. For
99%
completion
[
A
]
0
/
[
A
]
=
100
, so
t
=
(
2.303/
k
)
lo
g
100
=
2.303
×
2/0.0231
=
199.4
, i.e. about
199
min
.
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