Finding the binding energy for lithium

AI Thread Summary
The discussion focuses on calculating the binding energy for lithium-8 using the formula that incorporates the masses of protons and neutrons. The provided atomic masses for protons and neutrons are 1.007825 u and 1.008665 u, respectively. A calculation attempt yields a binding energy that appears incorrect, prompting a reminder to check units and the formula used. Participants emphasize the importance of consistency in units, particularly when converting from atomic mass units to kilograms. The conversation highlights common pitfalls in binding energy calculations and the necessity for careful unit management.
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Homework Statement


Find the binding energy (in MeV) for lithium 3Li8 (atomic mass = 8.022486 u).


Homework Equations


Binding energy = (#p)(mass proton) + (#n)(mass neutron) - (mass nuclei*c^2)


The Attempt at a Solution


mass proton = 1.007825
mass neutron = 1.008665
Binding energy = (3)(1.007825) + (5)(1.008665) - (8.022486*(3e8)^2)
Binding energy = -7.22e17 J x 1 eV/1.602e-19 J = -4.506e36 eV x 1e-6 MeV / 1 eV = -4.506e30 MeV
 
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Check your units please. Also your formula for binding energy is wrong. Check the c2's.
 
Oops, sorry I know I typed the formula wrong on here, but I did it the correct way on my homework... It's still telling me my answer is incorrect. :/
 
mass proton = 1.007825
mass neutron = 1.008665

are atomic mass units (amu). Be careful about mixing units.

If one is using c = 3 x 108 m/s, then one must use atomic masses in kgs.
 
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