An atom of 110I has a mass of 109.935060 amu. Calculate its binding energy per MOLE in kJ. Enter your answer in exponential format (1.23E4) with 3 significant figures and no units. Use the masses: mass of 1H atom = 1.007825 amu mass of a neutron = 1.008665 amu 1 amu = 931.5 Mev c = 2.99792 x 108 m/s

E = 2.72E8 KJ (to 3. S. f)

Explanation:

Binding energy is the reason for the slight difference between masses of nucleus components to the actual masses of nucleus.

Binding energy (E) = mc^{2}

where m is the mass defect. c

c is the speed of light.

Mass defect is calculated as follows.

iodine element has a structure

/left / { {{y=110} / atop {x=53}} / right I

mass number (sum of proton + neutron) = 110

atomic number (proton only) = 53

number of neutrons = mass number - atomic number = 110-53 = 57

we will calculate the mass of protons and neutron in the atom.

Proton = 1.007825amu * 53 = 53.414725amu

neutron = 1.008665amu * 57 = 57.493905

actual mass of nucleus = 109.935060amu

mass defect = sum of mass of protons and neutrons - actual mass of nucleus

= 53.414725amu + 57.493905amu - 109.935060amu

m = 0.97357amu.

E = mc^{2}

1amu = 931.5Mev

E = 0.97357 * 931.5 * 2.99792*10^{8}

E=2718.755053*10^{8}

E = 2.718 * 10^{11}J

E = 2.72E8 KJ (to 3. S. f)

E = 2.72E8