Problem 72
Question
Identify the group of elements that corresponds to each of the following generalized electron configurations: (a) [noble gas] \(n s^{2} n p^{5}\) (b) [noble gas] \(n s^{2}(n-1) d^{2}\) (c) [noble gas] \(n s^{2}(n-1) d^{10} n p^{1}\) (d) [noble gas] \(n s^{2}(n-2) f^{6}\)
Step-by-Step Solution
Verified Answer
The groups corresponding to each generalized electron configuration are:
(a) Group 17 (Halogens)
(b) Group 4 (Transition metals)
(c) Group 13
(d) Sixth element within its respective inner transition metals series (Lanthanides or Actinides)
1Step 1: (a) Identify the group with electron configuration [noble gas] \(n s^{2} n p^{5}\)
For this case, the electron configuration only states that it needs one more electron in the \(n p\) shell to achieve a complete configuration of the noble gases' shell. This means the element belongs to the group just before the noble gases, which is halogens. Therefore, the group corresponding to this electron configuration is Group 17.
2Step 2: (b) Identify the group with electron configuration [noble gas] \(n s^{2}(n-1) d^{2}\)
Here, the element has 2 electrons in the \(d\) shell, which means that it is part of the transition metals. The electron configuration suggests that this element has two extra electrons after the noble gas configuration. So, the element belongs to Group 4.
3Step 3: (c) Identify the group with electron configuration [noble gas] \(n s^{2}(n-1) d^{10} n p^{1}\)
In this case, we have a complete filled \(d\) shell and one additional electron in the \(n p\) shell. This suggests that the element belongs to the group just after the noble gases. Thus, the element corresponds to Group 13.
4Step 4: (d) Identify the group with electron configuration [noble gas] \(n s^{2}(n-2) f^{6}\)
This electron configuration indicates the element is part of the inner transition metals with electrons in the \(f\) shell. Although inner transition metals, like Lanthanides and Actinides, are not placed in the main columns of the periodic table, the electron configuration can provide information about the relative position within their series. The element has 6 electrons in the \(f\) shell, suggesting that it is the sixth element within its respective series (Lanthanides or Actinides).
Key Concepts
HalogensTransition MetalsLanthanidesGroup 17Inner Transition Metals
Halogens
Halogens are a fascinating group of elements sitting in Group 17 of the periodic table. They are known for being just one electron short of achieving a full outer shell, similar to noble gases. This is reflected in their generalized electron configuration:
- [noble gas] \(n s^{2} n p^{5}\)
Transition Metals
Transition metals occupy the central part of the periodic table, covering groups 3 to 12. With their electron configuration usually looking something like:
- [noble gas] \(n s^{2}(n-1) d^{x}\)
Lanthanides
Lanthanides, also known as rare earth elements, belong to the group of inner transition metals. Their general electron configuration follows:
- [noble gas] \(n s^{2}(n-2) f^{x}\)
Group 17
When we talk about Group 17, we are directly referring to the halogen family, with their distinctive
- [noble gas] \(n s^{2} n p^{5}\)
Inner Transition Metals
Inner transition metals encompass the Lanthanides and Actinides, which are located beneath the main body of the periodic table. These elements fill their f subshells, as seen in this typical electron configuration:
- [noble gas] \(n s^{2}(n-2) f^{x}\)
Other exercises in this chapter
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