(a) What is the trend in first ionization energies as one proceeds down the group 17 elements? Explain how this trend relates to the variation in atomic radii. (b) What is the trend in first ionization energies as one moves across the fourth period from \(\mathrm{K}\) to \(\mathrm{Kr}\) ? How does this trend compare with the trend in atomic radii?

Short Answer

Expert verified
\( (a) \) The first ionization energies decrease as one proceeds down the group 17 elements, as the atomic radii increase because outermost electrons are less strongly attracted to the nucleus. \( (b) \) As one moves across the fourth period from K to Kr, the first ionization energies increase, contrary to the trend in atomic radii which decrease. This is due to the stronger attraction between the nucleus and the electrons, as the number of protons increases.

Step by step solution

01

Ionization Energy and Atomic Radii

Ionization energy is the energy required to remove an electron from an atom (or ion) in the gaseous state. As for atomic radius, it is defined as the distance between the nuclei of two adjacent atoms. Step 2: Analyzing the Trend in First Ionization Energies in Group 17 elements
02

Trend in Group 17 elements

Group 17 elements are also known as halogens. As we move down the group, the atomic radii increase as there are more electron shells present in each successive element. With a larger atomic radius, the electrons in the outermost shell are further away from the nucleus and are less strongly attracted to it. Consequently, less energy is required to remove an electron from the outermost shell. Therefore, the first ionization energies decrease as one proceeds down the group 17 elements. Step 3: Relating the Trend in Ionization Energies with Atomic Radii for Group 17 elements
03

Relation between Ionization Energies and Atomic Radii in Group 17

The trend in first ionization energies in group 17 elements is directly related to the variation in atomic radii. As the atomic radii increase down the group, the first ionization energies decrease due to the outermost electrons being further away from the nucleus and being less strongly attracted to it. Step 4: Analyzing the Trend in First Ionization Energies across the Fourth Period
04

Trend in the Fourth Period

As we move across the fourth period from K (potassium) to Kr (krypton), the atomic number increases which implies that the number of protons in the nucleus increases. Consequently, the positive charge in the nucleus becomes stronger. This results in a stronger attraction between the nucleus and the electrons. This stronger attraction makes it more difficult to remove an electron, meaning the ionization energies increase from left to right across the fourth period. Step 5: Comparing the Trend in Ionization Energies with the Trend in Atomic Radii across the Fourth Period
05

Comparison in Fourth Period

The trend in first ionization energies across the fourth period is contrary to the trend in atomic radii. As we move from K to Kr, the atomic radii decrease because the increasing number of protons in the nucleus pulls the electrons closer to it. However, the ionization energies increase from left to right across the fourth period due to the stronger attraction between the nucleus and the electrons.

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