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Byju's Answer
Standard XII
Chemistry
Reasons of Stability
Helium has a ...
Question
Helium has a mass number
4
and the atomic number
2
. Calculate the nuclear binding energy per nucleon. (mass of neutron
=
1.00893
a
m
u
and proton
=
1.00814
a
m
u
,
H
e
=
4.0039
a
m
u
and mass of electron is negligible).
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Solution
B
.
E
=
931.5
M
e
v
×
(
△
m
)
△
m
=
(
4.0039
−
2
×
1.0081
−
2
×
1.00893
)
=
−
0.03016
B
E
=
−
0.03016
×
931.5
=
−
28.094
BE/nucleon
=
−
28.094
4
=
−
1.038
M
e
v
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0
Similar questions
Q.
Calculate the mass defect and binding energy per nucleon of
16
8
O
which has a mass
15.99491
a
m
u
.
Mass of neutron
=
1.008655
a
m
u
Mass of proton
=
1.007277
a
m
u
Mass of electron
=
0.0005486
a
m
u
1
a
m
u
=
931.5
M
e
V
Q.
Assertion :Nuclear binding energy per nucleon is in the order
9
4
B
e
>
7
3
L
i
>
4
2
H
e
. Reason: Binding energy per nucleon increases linearly with difference in number of neutrons and protons.
Q.
The atomic mass of
8
O
16
is
15.9949
a
m
u
. Mass of one neutron and one proton is
2.016490
a
m
u
and the mass of an electron is
0.00055
a
m
u
. The binding energy per nucleon of oxygen atom is
Q.
Nuclear binding energy is the energy released during the hypothetical formation of the nucleus by the condensation of individual nucleons. Thus, binding energy per nucleon =
Total binding energy
Number of nucleons
For example, the mass of hydrogen atom is equal to the sum of the masses of a proton and an electron. For other atoms, the atomic mass is less than the sum of the masses of protons, neutrons and electrons present. This difference in mass, termed as mass defect, is a measure of the binding energy of protons and neutrons in the nucleus. The mass-energy relationship postulated by Einstein is expressed as:
Δ
E
=
Δ
m
c
2
Where
Δ
E
is the energy liberated,
Δ
m
is the loss of mass, and c is the speed of light.
M
P
and
M
n
are masses of a proton and a neutron respectively. For a nucleus, its binding energy is
B
and it contains
Z
protons and
N
neutrons, the correct relation for this nucleus if
C
is velocity of light is:
Q.
Calculate the binding energy per nucleon for Beryllium
4
B
e
9
, its mass being
9.012
u
. The masses of proton and neutron are
1.008
u
and
1.009
u
. (Take
1
u
=
931.5
M
e
V
)
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