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Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory
Chapter 6, Problem 122

Which atom in each of the following pairs has a larger radius? (a) Na or K (b) V or Ta (c) V or Zn (d) Li or Ba

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Atomic Radius

Atomic radius is defined as the distance from the nucleus of an atom to the outermost shell of electrons. It is a key factor in determining the size of an atom and varies across the periodic table. Generally, atomic radius increases down a group due to the addition of electron shells, while it decreases across a period from left to right due to increased nuclear charge attracting electrons more strongly.
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Periodic Trends

Periodic trends refer to the predictable patterns observed in the properties of elements as you move across or down the periodic table. For atomic radius, the trend shows that elements in the same group have larger radii as you move down, while elements in the same period have smaller radii as you move from left to right. Understanding these trends is essential for comparing the sizes of different atoms.
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Effective Nuclear Charge

Effective nuclear charge (Z_eff) is the net positive charge experienced by an electron in a multi-electron atom. It accounts for the shielding effect of inner electrons that reduces the full nuclear charge felt by outer electrons. A higher effective nuclear charge leads to a smaller atomic radius, as the increased attraction pulls the outer electrons closer to the nucleus, which is crucial for understanding the size differences in the given pairs.
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Related Practice
Textbook Question
The ionization energy of an atom can be measured by photo-electron spectroscopy, in which light of wavelength l is directed at an atom, causing an electron to be ejected. The kinetic energy of the ejected electron 1EK2 is measured by determining its velocity, v since EK = 1/2 mv2. The Ei is then calculated using the relationship that the energy of the inci-dent light equals the sum of Ei plus EK. (a) What is the ionization energy of rubidium atoms in kilo-joules per mole if light with l = 58.4 nm produces elec-trons with a velocity of 2.450 * 106m/s? (The mass of an electron is 9.109 * 10-31 kg.)
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Textbook Question
Take a guess. What do you think is a likely ground-state electron configuration for the sodium ion, Na+, formed by loss of an electron from a neutral sodium atom?
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Textbook Question
Order the following atoms according to increasing atomic radius: S, F, O.
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Textbook Question
Which atom in each of the following pairs has a larger radius? (a) C or Ge (b) Ni or Pt (c) Sn or I (d) Na or Rb
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Textbook Question
One method for calculating Zeff is to use the equation

where E is the energy necessary to remove an electron from an atom and n is the principal quantum number of the elec-tron. Use this equation to calculate Zeff values for the highest-energy electrons in potassium (E = 418.8 kJ/mol) and krypton (E = 1350.7 kJ/mol).
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Textbook Question
At 0 °C, the density of liquid water is 0.9998 g/mL and the value of Kw is 1.14 * 10-15. What fraction of the molecules in liquid water are dissociated at 0 °C? What is the percent dissociation at 0 °C? What is the pH of a neutral solution at 0 °C?
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