A) Calculate the mass defect of the oxygen nucleus 16 8O. The mass of neutral 16
ID: 879221 • Letter: A
Question
A)
Calculate the mass defect of the oxygen nucleus 16 8O. The mass of neutral 16 8O is equal to 15.994914 atomic mass units.
Express your answer in atomic mass units to four significant figures.
B)
Calculate the binding energy E of the oxygen nucleus 16 8O (1eV=1.602×1019J).
Express your answer in millions of electron volts to four significant figures.
C)
Calculate the binding energy per nucleon of the oxygen nucleus 16 8O.
Express your answer in millions of electron volts to four significant figures.
D)
Calculate the mass defect of the helium nucleus 52He. The mass of neutral 52He is given by MHe=5.012225amu.
Express your answer in atomic mass units to four significant figures.
E)
Calculate the binding energy E of the helium nucleus 52He (1eV=1.602×1019J).
Express your answer in millions of electron volts to four significant figures.
F)
Calculate the binding energy per nucleon of the helium nucleus 52He.
Express your answer in millions of electron volts to four significant figures.
Explanation / Answer
A)
Calculate the mass defect of the oxygen nucleus 16 8O. The mass of neutral 16 8O is equal to 15.994914 atomic mass units.
Express your answer in atomic mass units to four significant figures.
Mass number = 16
No. of protons = 8, then
Neutrons = Mass number – proton number = 8 protons and 16-8= 8neutrons are present
Mass of proton = 1.007316
Mass of neutrón = 1.008665
Total mass = 8* 1.007316 + 8*1.008665 = 16.127848amu
The mass defect:
15.994914 -16.127848= -0.132934 amu
Mass = 0.132934/(6.022*10^23) = 2.2074726*10^-25 g or 2.2074726*10^-28 kg
B)
Calculate the binding energy E of the oxygen nucleus 16 8O (1eV=1.602×1019J).
Express your answer in millions of electron volts to four significant figures.
Energy released (Einstein E = mC^2)
E = m*C^2 = 2.2074726*10^-28 * (3*10^8)^2 = 1.9867253*10^-11 J
Nuclear binding energy = E = 1.9867253*10^-11 J
1eV=1.602×1019J
x eV = 1.9867253*10^-11 J
x = (1.9867253*10^-11)/(1.602*10^-19) = 124015312.11 eV
C)
Calculate the binding energy per nucleon of the oxygen nucleus 16 8O.
Express your answer in millions of electron volts to four significant figures.
Nuclear binding energy per nucleon
Nucleon = neutron + protons = 8+8 = 16
E per nucleon = E / nucleon =124015312.11 /8 = 15501914.0137 eV /nucleon
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