Nuclear Physics - Mass Defect & Binding Energy

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SUMMARY

The discussion focuses on calculating the mass defect of Carbon-12 (^{12}_{6}C) using the equation Δm = [Z(mp + me) + (A - Z)mn] - matom. The nuclear mass of Carbon-12 is 1.99264 x 10-26 kg, with protons and neutrons having masses of 1.67353 x 10-27 kg and 1.67492 x 10-27 kg, respectively. The mass of an electron (me = 9.10938 x 10-31 kg) is significant in this calculation, as the total mass of 12 electrons is 0.01093 x 10-27 kg, which cannot be ignored when determining the mass defect with six significant digits.

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Kylah
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[SOLVED] Nuclear Physics - Mass Defect & Binding Energy

1. Carbon 12 (^{12}_{6}C) has a nuclear mass of 1.99264 x 10-26 kg, a proton has a mass of 1.67353 x 10-27, and a neutron has a mass of 1.67492 x 10-27 kg. Calculate the mass defect for carbon 12.

My equation looks like this:
\Deltam = [Z(mp+me) + (A-Z)mn]-matom

Where:
\Deltam = ?
mp = 1.67353 x 10-27 kg
mn = 1.67353 x 10-27 kg
me =
matom = 1.99264 x 10-26
Z = 6
A = 12


What I'm not sure is what me is. Could anybody help me?
 
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Hey,

The mass of an electron is 1836 times smaller than the mass of a proton m_{e}=9.10938*10^{-31}Kg, though I think that even if you take it into consideration in your calculation you will find it makes no difference to your result, since your other numbers don't have sufficient decimal places.
 
Actually the electron mass will be significant here. 12 electrons will have a total mass of 0.01093 x 10^-27kg. With 6 significant digits, this mass can not be ignored.
 
Chi Meson said:
Actually the electron mass will be significant here. 12 electrons will have a total mass of 0.01093 x 10^-27kg. With 6 significant digits, this mass can not be ignored.

Thank you!
 

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