Why Does a Unified Atomic Mass Unit Differ from Calculated Values?

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SUMMARY

The unified atomic mass unit (u) is defined as 1/12 of the mass of a carbon-12 isotope, equating to approximately 1.66 x 10^-27 kg. Calculating the mass of an atom using Avogadro's constant (6.02 x 10^23) yields a value of 1.99 x 10^-26 kg for carbon-12, which differs from the expected value due to rounding and measurement precision. The difference in mass between protons and neutrons arises from their quark composition; protons consist of two up quarks and one down quark, while neutrons contain two down quarks and one up quark. The mass of quarks is not precisely known, but it is accepted that down quarks are more massive than up quarks.

PREREQUISITES
  • Understanding of unified atomic mass unit (u)
  • Familiarity with Avogadro's constant (6.02 x 10^23)
  • Basic knowledge of quark composition in protons and neutrons
  • Concept of mass measurement in atomic physics
NEXT STEPS
  • Research the concept of quark mass and its implications in particle physics
  • Explore the differences between atomic mass and molecular weight
  • Learn about precision measurement techniques in atomic physics
  • Investigate the role of Avogadro's constant in chemical calculations
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Students and professionals in physics, chemistry, and materials science, particularly those interested in atomic structure and mass measurement.

al_201314
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Hi guys

I understand that the unified atomic mass unit is defined as 1/12 of the mass of a carbon-12 isotope and has a value of 1.66 X 10^-27kg. Why is this value slightly different with when I use the calculation 0.012/6.02 X10^23?

Why in theory, is the mass of a protn different from a neutron?

Thanks!
 
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oh dear I realized what I missed out.. but I'd appreciate any help regarding the difference in mass of a proton and a neutron.

I have one more question, given the avagadro's constant, I was told to find the mass of an atom of carbon-12. I took 0.012/6.02X10^23 which gives me 1.99 X10^-26kg but the answer I was given was ^-25. Was there a mistake on my part or the answer is wrong?

Thanks!
 
Last edited:
al_201314 said:
Why in theory, is the mass of a protn different from a neutron?

The simple "hand-waving" answer is that protons and neutrons contain different quarks which have different masses. A proton is composed of two up quarks and a down quark. Wheras neutrons consist of two down quarks and an up quark. The exact mass of these quarks are unknow but it is commonly accepted that a down quark is more massive than an up quark.

~H
 

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