# Molar binding energy of uranium-235 nuclei

## Homework Statement

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

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.

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ehild
Homework Helper
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

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?

ehild
Homework Helper
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

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.