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Draw Lewis symbols for \(\operatorname{In}^{+}, \mathrm{I}^{-}, \mathrm{Ca}^{2+},\) and \(\mathrm{Sn}^{2+} .\) Which ions have a complete valence-shell octet?

Short Answer

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Question: Draw the Lewis symbols for the following ions and determine which ions have a complete valence-shell octet: \(\operatorname{In}^{+}, \mathrm{I}^{-}, \mathrm{Ca}^{2+}\), and \(\mathrm{Sn}^{2+}\). Answer: The Lewis symbols for the ions are: - \(\operatorname{In}^{+}\): ``` In鈦 路 路 ``` - \(\mathrm{I}^{-}\): ``` I鈦 路路: :路路 ``` - \(\mathrm{Ca}^{2+}\): ``` Ca虏鈦 ``` - \(\mathrm{Sn}^{2+}\): ``` Sn虏鈦 路 路 ``` Only the \(\mathrm{I}^{-}\) ion has a complete valence-shell octet.

Step by step solution

01

Determine the number of valence electrons for each ion

To find the valence electrons of the given ions, we can look at their position in the periodic table. - \(\operatorname{In}^{+}\) (Indium) has a group number of 13 (3 valence electrons) and is losing 1 electron to form the ion, giving it \((3-1)=2\) valence electrons. - \(\mathrm{I}^{-}\) (Iodine) has a group number of 17 (7 valence electrons) and is gaining 1 electron to form the ion, giving it \((7+1)=8\) valence electrons. - \(\mathrm{Ca}^{2+}\) (Calcium) has a group number of 2 (2 valence electrons) and is losing 2 electrons to form the ion, giving it \((2-2)=0\) valence electrons. - \(\mathrm{Sn}^{2+}\) (Tin) has a group number of 14 (4 valence electrons) and is losing 2 electrons to form the ion, giving it \((4-2)=2\) valence electrons.
02

Draw the Lewis symbols for each ion

Remember that Lewis symbols represent valence electrons using dots around the chemical symbol. - \(\operatorname{In}^{+}\): 2 valence electrons ``` In鈦 路 路 ``` - \(\mathrm{I}^{-}\): 8 valence electrons ``` I鈦 路路: :路路 ``` - \(\mathrm{Ca}^{2+}\): 0 valence electrons ``` Ca虏鈦 ``` - \(\mathrm{Sn}^{2+}\): 2 valence electrons ``` Sn虏鈦 路 路 ```
03

Determine which ions have a complete valence-shell octet

An ion with a complete valence-shell octet will have 8 valence electrons. In this case, only \(\mathrm{I}^{-}\) has 8 valence electrons.
04

Conclusion

The Lewis symbols for the ions are: - \(\operatorname{In}^{+}\): ``` In鈦 路 路 ``` - \(\mathrm{I}^{-}\): ``` I鈦 路路: :路路 ``` - \(\mathrm{Ca}^{2+}\): ``` Ca虏鈦 ``` - \(\mathrm{Sn}^{2+}\): ``` Sn虏鈦 路 路 ``` Only the \(\mathrm{I}^{-}\) ion has a complete valence-shell octet.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Valence Electrons
Valence electrons are crucial players in the realm of chemistry. They are the electrons located in the outermost shell of an atom and determine the atom's chemical properties and reactivity. Understanding the number of valence electrons helps us to predict how an element will bond with others.
For example:
  • Indium (In) is in group 13 and typically has 3 valence electrons. However, when it forms the ion \({In}^{+}\), it loses one electron, resulting in 2 remaining valence electrons.
  • Iodine (I), located in group 17, has 7 valence electrons. As a \({I}^{-}\) ion, it gains an electron, completing its valence shell with 8 electrons.
  • Calcium (Ca), from group 2, possesses 2 valence electrons, but the \({Ca}^{2+}\) ion loses both, resulting in zero valence electrons.
  • Tin (Sn) resides in group 14 with 4 valence electrons and forms the \({Sn}^{2+}\) ion by losing 2 electrons, which leaves it with 2 valence electrons.
Recognizing valence electrons aids in understanding bonding behaviors and predicting the outcome of chemical reactions.
Ion Formation
Ion formation is the process wherein atoms either lose or gain electrons to achieve a more stable electron configuration. This alteration turns an atom into either a cation (positively charged) or an anion (negatively charged), contributing to forming ionic compounds.
Steps in ion formation include:
  • Electron Loss: Atoms like Indium and Calcium tend to lose electrons. For instance, Indium loses one electron becoming \({In}^{+}\), whereas Calcium sheds two electrons, forming \({Ca}^{2+}\). This loss gives each a positive charge.
  • Electron Gain: Atoms such as Iodine prefer to gain electrons, seen with \({I}^{-}\) obtaining one extra electron and gaining a negative charge.
Through these electron shifts, atoms achieve stability and resemble the electron configuration of noble gases, which are inherently stable due to their full valence shells.
Valence-Shell Octet
The valence-shell octet is a foundational concept in chemistry, emphasizing that atoms often achieve stability when they have eight electrons in their outermost shell. This stability mirrors the electron configuration of noble gases.
In the Lewis symbol exercise, the goal was to observe which ions fulfilled the valence-shell octet rule. Let's see:
  • Iodine Ion (\({I}^{-}\)): Successfully achieves a full octet, possessing 8 valence electrons after gaining one electron.
  • Other Ions: \({In}^{+}\), \({Ca}^{2+}\), and \({Sn}^{2+}\) do not have complete octets. For instance, \({Ca}^{2+}\) has no valence electrons after losing its two original ones.
The pursuit of a valence-shell octet was articulated by the octet rule, where atoms are stabilized within a full outer shell, typically attained via electron exchange in ionic bonding. Recognizing this principle explains why some substances exhibit impressive stability.

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