The binding energy per nucleon for magnesium-27 is 1.326*10-12 J/nucleon. Calculate the atomic mass of magnesium-27, in...

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The binding energy per nucleon for magnesium-27 is1.32610^-12 J/nucleon. Calculate the atomic mass ofmagnesium-27, in amu. You may assume that the mass of a nucleon is1.008 amu. (1 kg = 6.02210²⁶ amu)

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The binding energy per nucleon for magnesium-27 is 1.326*10^-12 J/nucleon

neucleons = protons + neutrons

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 12 + 15 = 27

Binding energy in J = 1.326*10^-12 *27Â Â = 3.58*10^-11 J

Â Â E = mC²

3.58*10^-11Â Â =, m*(3*10⁸)²

mÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 3.58*10^-11/9*10¹⁶

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 3.97*10^-28 KgÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 3.97*10^-28 *6.022*10²⁶ amu Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (1 kg = 6.022*10²⁶ amu)Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.2390734amu

mass diffect = 0.239074amu

actual mass -theoreticl mass = mass diffect

(12*1.007825 + 15*1.008665 )-theoretical mass = 0.2390734

27.223875-theoretical mass = 0.2390734

-Theoretical massÂ Â Â = 0.2390734 -27.223875

Â Â Â Theretical mass of Mg Â Â Â Â Â Â Â Â = 26.9848amu >>>>> answer

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