Ask Question
1 November, 18:34

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

+5
Answers (1)
  1. 1 November, 18:52
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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) ...” in 📗 Chemistry if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers