Finding the binding energy for lithium

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Homework Help Overview

The original poster attempts to find the binding energy for lithium-8, providing the atomic mass and relevant equations. The problem involves concepts from nuclear physics, specifically relating to binding energy calculations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for binding energy and the units used in calculations. There are attempts to clarify the correct application of the formula and the conversion of units.

Discussion Status

Some participants have pointed out potential errors in the original poster's calculations and unit usage. There is an ongoing exploration of the correct formula and unit consistency, but no consensus has been reached on the correct approach yet.

Contextual Notes

Participants note the importance of using consistent units, particularly when converting atomic mass units to kilograms, and the implications of using the speed of light in calculations.

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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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