In a first order reaction 60%of the reactant decompose in 45 minutes calculate the half life of the reaction
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In a first order reaction A→B,60% of the given sample of compounds decomposes in 45 minutes. The half life of the reaction is ______________.
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Correct option is B)
For the first order reaction,
k=
t
2.303
a−x
Log a
where,
k=rate constant
t=age of sample
a=let initial amount of the reactant
a−x=amount left after decay process
k=
45
2.303
100−60
Log 100
k=
45
2.303
log
2
5
k=0.02 min
−1
-------------------------------(1)
t
1/2
=
k
0.693
------------------------------------(2)
on putting value of k in equation (2) from (1) we will get:
t
1/2
=
0.02
0.693
=34.65
Explanation:
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