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Byju's Answer
Standard IX
Chemistry
Rutherford's Experiment and Observations
The half-life...
Question
The half-life of
238
92
U
is
4.5
×
10
9
years. Uranium emits a
α
−
particle to give thorium. Calculate the time required to get the product which contains equal masses of thorium and uranium.
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Solution
t
1
/
2
=
4.5
×
10
9
years
t
=
?
t
=
2.303
0.693
4.5
×
10
9
l
o
g
(
1
+
n
T
h
n
U
)
t
=
2.303
×
4.5
×
10
9
0.693
×
l
o
g
⎛
⎜ ⎜ ⎜
⎝
1
+
1
293
1
238
⎞
⎟ ⎟ ⎟
⎠
t
=
4.58
×
10
9
years
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0
Similar questions
Q.
The half life period of uranium is
4.5
billion years. After
9.0
billion years, the number of moles of helium liberated from the following nuclear reaction will be:
238
92
U
⟶
234
90
T
h
+
4
2
H
e
Initially there was
1
mole uranium.
Q.
The half-life of
238
92
U
undergoing
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−
decay is
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10
9
years. What is true activity of the
1
g
sample of
238
92
U
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=
6.022
×
10
23
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Q.
A sample of uranium from moon contains equal number of atoms of uranium and lead
(
t
1
/
2
f
o
r
92
U
=
4.5
×
10
9
)
years. The age of rock would be:
Q.
Write a nuclear reaction when Uranium
238
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Q.
In uranium mineral, the atomic ratio
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/
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b
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×
10
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