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Molar binding energy of uranium-235 nuclei

  • Thread starter deezer
  • Start date
  • #1
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Homework Statement



What is the molar binding energy of uranium 235 nuclei?
Givem: The mass of 1 uranium nuecli is 235.0439u

Homework Equations



E=Δmc^2

The Attempt at a Solution



mass of nucleons: m=92P+143n=236.90814u

mass of nucleus: m=234.99343u

Δm=239.90814-234.99343u=1.9147u

Emolar=(1.9147u)(3x10^8m/s)^2(1.67x10^-27kg/u)
=2.8778x10^-10 J/nucleus (6.02x10^23 nuclei/mole)(1kJ/1000J)
=1.7324x10^11 kJ/mol

Is my answer correct? Also did I name the nucleons/nucleus correctly? I'm not sure if I should have called them what I called them since the nucleons are the nucleus technically.
 

Answers and Replies

  • #2
ehild
Homework Helper
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Nucleon is a collective name for the neutron and the proton. These are the two constituents of the atomic nucleus.
I did not check your numbers, but the method looks correct, except you left out the Avogadro's number in the first line.

ehild
 
  • #3
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Nucleon is a collective name for the neutron and the proton. These are the two constituents of the atomic nucleus.
I did not check your numbers, but the method looks correct, except you left out the Avogadro's number in the first line.

ehild
So what should I change the names to?

And why do I need Avogadro's number in the first line?
 
  • #4
ehild
Homework Helper
15,427
1,823
So what should I change the names to?

And why do I need Avogadro's number in the first line?

Emolar=(1.9147u)(3x10^8m/s)^2(1.67x10^-27kg/u)
You used the correct name for protons and neutrons. They are nucleons.
I quoted your first line for Emolar but it was the binding energy of one nucleus.

ehild
 
  • #5
18
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You used the correct name for protons and neutrons. They are nucleons.
I quoted your first line for Emolar but it was the binding energy of one nucleus.

ehild
It is molar, I converted it to kJ/mol.
 

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