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Standard XII

Chemistry

Multi-Electron Configurations and Orbital Diagrams

The atomic ma...

Question

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

7.97 M e V

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11.5 M e V

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22.8 M e V

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82.3 M e V

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Solution

The correct option is A $7.97 M e V$
The number of proton $p = 8$ and number of neutron, $n = 16 - 8 = 8$
Total number of nucleon $N = 16$
Combined mass of nuclei $=$ total mass of proton + total mass of neutron $= 8 \times 2.016490 = 16.13192$ amu
Mass defect $Δ m = 16.13192 - 15.9949 = 0.13702$ amu
Binding energy per nucleon $= Δ m c^{2} / N = (0.137 \times 931.49) / 16 = 127.6141 / 16 = 7.975 M e V$ where $1 a m u = 931.49 / c^{2} M e V$

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Similar questions

Q. 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).

Q. The atomic mass of

^{16} O

is 15.995

m_{u}

while the individual masses of proton and neutron are 1.0073 and 1.0087

m_{u}

. The mass of electron = 0.000548

m_{u}

. Calculate the binding energy of the oxygen nucleus in joules.

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 =

\frac{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

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protons and

N

neutrons, the correct relation for this nucleus if

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is velocity of light is:

Q. Calculate the mass defect and binding energy per nucleon of

_{8}^{16} 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. If the mass of

p r o t o n = 1.008 a . m . u .

and mass of

n e u t r o n = 1.009 a . m . u .

, then binding energy per nucleon for

_{4} B e^{9}

(m a s s = 9.012 a m u)

would be:

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The atomic mass of 8O16 is 15.9949amu. Mass of one neutron and one proton is 2.016490amu and the mass of an electron is 0.00055amu. The binding energy per nucleon of oxygen atom is

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