Mass Defect of Hydrogen-2 Electron Binding Energy

AI Thread Summary
The discussion focuses on calculating the mass defect of hydrogen-2 based on its electron binding energy of 13.6 eV. The relevant equation mentioned is the relationship between nuclear binding energy and mass defect, expressed as mass defect = binding energy/c^2. The user attempts to convert the binding energy from eV to MeV and subsequently to atomic mass units (amu), but expresses uncertainty about their calculations. They seek guidance on the correct approach to determine the mass defect accurately. The conversation highlights the challenges faced in applying the formulas correctly for this specific nuclear physics problem.
rayray2216
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Homework Statement :

the binding energy for the electron in the ground state of hydrogen-2 is 13.6ev
what is the corresponding mass defect of the hydrogen atom in amu (atomic mass units)
not sure if you need atmoic mass of the hysgrogen atom its given to be 2.014102u

Relevant equations:

not really sure but i know that nuclear binding energy=Mass defect x c^2
so BE/c^2=Mass deffect

931.58=uc^2

The attempt at a solution:
Havent really got a clue how to start i thought you would just use the above formula but i feel i am wrong :s1 amu = 931.46 MeV/c2 = 0.93146 GeV/c2
1 MeV/c2 = 1.074 × 10–3 amu
Thus 13.6 eV = 13.6 x 10^-6 MeV
=>13.6 eV = 13.6 x 10^-6 x 1.074 x 10^-3 x (3 x 10^8)^2 amu
=>13.6 eV = 1.32 x 10^9 amu

but i feel this is very wrong
 
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