What type of elements typically form cations? What type of elements typically form anions? 2. Consider the ionic compound formed between aluminum and oxygen a. How do you determine the charge on the ions in this compound? b. How do you determine the correct subscripts to use for Al and O in the formula? c. Is it appropriate to include charges in writing the formula for this compound? d. Based on your answers, write the formula of this compound, and give its name 3. You are helping a classmate determine the formula of lead (IV) sulfide a. Your classmate writes a formula of Pb
4
?
S. Explain the error they made. It is not enough to simply say what the answer is … you must explain how they got to the incorrect answer PbS S, and why their approach was wrong.
The Correct Answer and Explanation is :
1. Types of Elements Forming Cations and Anions
- Cations: Typically, metals form cations by losing electrons. These elements are found on the left and middle of the periodic table, such as Groups 1 (alkali metals), 2 (alkaline earth metals), and transition metals. For example, sodium (Na), calcium (Ca), and iron (Fe) often form cations like Na⁺, Ca²⁺, and Fe³⁺.
- Anions: Typically, nonmetals form anions by gaining electrons. These elements are found on the right side of the periodic table, mainly in Groups 15, 16, and 17. Examples include nitrogen (N), oxygen (O), and chlorine (Cl), which form N³⁻, O²⁻, and Cl⁻ anions, respectively.
2. Ionic Compound Formed Between Aluminum and Oxygen
a. Determining the Charge on the Ions
- Aluminum (Al) is a Group 13 metal and typically loses three electrons to form Al³⁺.
- Oxygen (O) is a Group 16 nonmetal and typically gains two electrons to form O²⁻.
b. Determining the Correct Subscripts for Al and O
- The goal is to balance the total positive charge with the negative charge so that the compound is neutral.
- Since Al³⁺ contributes +3 charge and O²⁻ contributes -2 charge, the lowest common multiple of 3 and 2 is 6.
- To balance:
- Two Al³⁺ ions (total +6 charge)
- Three O²⁻ ions (total -6 charge)
- This results in the formula Al₂O₃.
c. Should Charges Be Included in the Formula?
- No. When writing the final chemical formula, charges are not included because ionic compounds are neutral overall. The formula represents the simplest whole-number ratio of ions.
d. Formula and Name of the Compound
- Formula: Al₂O₃
- Name: Aluminum oxide
3. Determining the Formula of Lead (IV) Sulfide
a. Explanation of the Error in Pb₄S
- Lead (IV) sulfide means that lead has a +4 charge (Pb⁴⁺), as indicated by the Roman numeral IV.
- Sulfur is in Group 16 and forms an anion with a -2 charge (S²⁻).
- The incorrect formula Pb₄S suggests that four Pb atoms combine with one sulfur atom, which does not correctly balance the charges.
b. Correct Approach
- The total charge must be neutral:
- Pb⁴⁺ contributes +4 charge.
- S²⁻ contributes -2 charge.
- To balance:
- One Pb⁴⁺ ion pairs with two S²⁻ ions to neutralize the charge.
- This results in the correct formula: PbS₂.
c. Correct Answer
- Formula: PbS₂
- Name: Lead(IV) sulfide
300-Word Explanation of the Error
The mistake in writing Pb₄S for lead(IV) sulfide comes from misunderstanding the charge balance required for an ionic compound. The Roman numeral IV in lead (IV) sulfide signifies that lead is in the +4 oxidation state (Pb⁴⁺). Sulfur, being a Group 16 element, naturally forms a -2 charge (S²⁻).
To form a neutral compound, the total positive and negative charges must cancel out. If we use one Pb⁴⁺ ion, we need two S²⁻ ions, because (+4) + 2(-2) = 0. This leads to the correct formula PbS₂.
The incorrect formula Pb₄S suggests that there are four Pb atoms and only one S atom, which would give a total charge of +16 from lead and -2 from sulfur. This is not neutral, meaning the formula is incorrect.
A common mistake students make is assuming that the subscript in a compound comes directly from the oxidation state. For example, they might think that because Pb has a +4 charge, it must have a subscript of 4, which is incorrect. Instead, subscripts should be determined by the lowest common multiple of the ion charges, ensuring overall neutrality.
By correctly balancing charges, we derive the correct formula PbS₂, not Pb₄S. The name Lead (IV) sulfide explicitly states that lead has a +4 charge, differentiating it from PbS (lead(II) sulfide), where lead has a +2 charge. Understanding how to balance ionic charges is crucial in writing proper chemical formulas.