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3 years ago

The nuclear mass of 48ti is 47.9359 amu. calculate the binding energy per nucleon for 48ti.

1 answer:

4 0

E/Nucleon = mc^2

Where
m= number of protons*mass of a proton+Number of neutrons*mass of a neutron

For 48Ti, Protons = 22, Neutrons = 26. Protons and Neutrons weigh almost equal at 1.673*10^-27 kg
While 1 amu = 1.661*10^-27 kg

Therefore,
m= {(22+26)*1.673*10^-27}-{47.9359*1.661*10^-27} = 6.8247*10^-28 kg
c= speed of light = 3*10^8 m/s

Then,
Binding energy per nucleon = {6.8247*10^-28*(3*10^8)^2}/48 = 1.28*10^-12 J

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