The mass of a lithium-7 atom is 7.016003 amu. What is the nuclear binding energy of a lithium-7 nucleus in units of kJ/mol and eV/nucleus? Enter your answers in scientific notation.

Question

Micaela Odonnell

Chemistry

11 October, 18:16

The mass of a lithium-7 atom is 7.016003 amu. What is the nuclear binding energy of a lithium-7 nucleus in units of kJ/mol and eV/nucleus? Enter your answers in scientific notation.

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Simeon · Answer 1

The nuclear binding energy can be calculated through conversion of mass to energy through the formula,

E = mc²

For the first unit,

E = (7.016 g/mol) (1 kg/1000g) (3 x 10^8 m/s) ²

= 6.3144 x10^14 J/mol ≈ 6.3144 x 10^11 kJ/mol

For eV,

(6.3144 x10^11 kJ/mol) (1 eV / 96.4869 kJ/mol) = 6.09 x 10^13 eV