Use Coulomb's law to calculate the ionization energy in kJ>mol of an atom composed of a proton and an electron separated by 100.00 pm. What wavelength of light has sufficient energy to ionize the atom?
Ch.8 - Periodic Properties of the Elements
Chapter 8, Problem 114
Consider the elements: Na, Mg, Al, Si, P. a. Which element has the highest second ionization energy?

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Identify the elements given: Na, Mg, Al, Si, P.
Understand that the second ionization energy is the energy required to remove the second electron after the first has already been removed.
Consider the electronic configurations of the elements after the first electron is removed: Na^+, Mg^+, Al^+, Si^+, P^+.
Recognize that the second ionization energy is highest for the element that achieves a stable electron configuration after the first ionization.
Determine which element, after losing one electron, has a stable noble gas configuration or a half-filled or fully filled subshell, making it difficult to remove the second electron.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Ionization Energy
Ionization energy is the energy required to remove an electron from an atom or ion in its gaseous state. It is a key factor in determining an element's reactivity and is influenced by the atomic structure, including the number of protons and the distance of electrons from the nucleus. Generally, ionization energy increases across a period and decreases down a group in the periodic table.
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Second Ionization Energy
The second ionization energy refers to the energy needed to remove a second electron from a singly charged cation. This value is typically higher than the first ionization energy because the remaining electrons experience a greater effective nuclear charge, making them more tightly bound to the nucleus. Understanding the trends in second ionization energy helps predict the stability of ions formed from elements.
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Periodic Trends
Periodic trends are patterns observed in the periodic table that describe how certain properties of elements change across periods and down groups. For ionization energy, trends show that it generally increases from left to right across a period due to increasing nuclear charge and decreases from top to bottom in a group due to increased electron shielding. Recognizing these trends is essential for predicting the behavior of elements during ionization.
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