Write the formula of a compound formed by combining (a) \(\mathrm{Ca}\) and \(\mathrm{P}\); (b) \(\mathrm{Al}\) and \(\mathrm{Br}\); (c) \(\mathrm{K}\) and \(\mathrm{F}\); (d) Li and S.

Short Answer

Expert verified
The formulas are (a) \(Ca_3P_2\), (b) \(AlBr_3\), (c) \(KF\), (d) \(Li_2S\).

Step by step solution

01

- Determine the valences

Find the valences of calcium (Ca), phosphorus (P), aluminum (Al), bromine (Br), potassium (K), fluorine (F), lithium (Li), and sulfur (S). Calcium and aluminum are in group 2 and 13 respectively, so they have valences of +2 and +3. Phosphorus is in group 15, so it has a valence of -3. Bromine, fluorine, and sulfur are in group 17 and 16, so they have valences of -1 and -2 respectively. Potassium is in group 1, so it has a valence of +1. Lithium is also in group 1 so it has a valence of +1.
02

- Write the formulas

Using the valences, write the formulas by crisscrossing the valences to balance the charges. If necessary, simplify the ratios to get the simplest whole number ratio.
03

- Compounds with Ca and P

Calcium has a valence of +2 and phosphorus has a valence of -3. Crisscross the numbers to balance the charge and get \(Ca_3P_2\), calcium phosphide.
04

- Compounds with Al and Br

Aluminum has a valence of +3 and bromine has a valence of -1. Crisscross the numbers to get \(AlBr_3\), aluminum bromide.
05

- Compounds with K and F

Potassium has a valence of +1 and fluorine has a valence of -1. Crisscross the numbers to get \(KF\), potassium fluoride.
06

- Compounds with Li and S

Lithium has a valence of +1 and sulfur has a valence of -2. Crisscross the numbers to get \(Li_2S\), lithium sulfide.

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Key Concepts

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

Valence of Elements
Understanding the valence of elements is crucial when venturing into chemical compound formulas. Think of the valence as the 'bonding capacity' of an atom; it tells us how many electrons an element is willing to lose, gain, or share to achieve a stable electronic configuration, akin to the closest noble gas.

Valence is often determined by the group number in the periodic table. For example, elements in group 1, like lithium (Li) and potassium (K), have a valence of +1 because they have one electron available for bonding. Conversely, halogens, like fluorine (F) and bromine (Br) in group 17, typically have a valence of -1 since they are one electron shy of reaching stability.

Group and Valence Relationship

  • Group 1: +1 valence
  • Group 2: +2 valence (Calcium)
  • Group 13: +3 valence (Aluminum)
  • Group 15: -3 valence (Phosphorus)
  • Group 16: -2 valence (Sulfur)
  • Group 17: -1 valence (Halogens like F and Br)
Grasping this concept provides a solid foundation for crafting chemical compound formulas.
Chemical Formula Writing
The art of chemical formula writing hinges on accurately expressing the composition of a compound. After determining the valences, the next step is to combine them in a way that the charges cancel each other out, resulting in a neutral compound.

This is often done through the 'crisscross method' which serves as a shortcut to equating the total positive and negative charges. You essentially swap the absolute values of the element's valences to the opposite ion to determine the ratio of atoms in the compound. The ultimate goal is to find the simplest whole number ratio that balances the charge.

Crisscross Method

  • Match the positive valence of one element to the negative valence of the other.
  • If there is a common multiple, reduce to the simplest form.
  • Write the chemical formula with the element symbols and numerical subscripts indicating the ratio.
Through this process, we neatly transform individual element characteristics into a new, stable chemical entity.
Ionic Compound Nomenclature
The ionic compound nomenclature is the systematic way of naming these compounds. It's a game of clarity and precision. For metal and nonmetal combinations, the metal (usually having a positive charge) is named first followed by the nonmetal with its name ending in -ide.

When dealing with transition metals capable of taking on multiple valences, Roman numerals are employed to denote the charge - this is known as the Stock system. However, for the representative elements (those in groups 1, 2, and 13 to 17), their valences are usually fixed and easily deduced.

Naming Rules Simplified

  • The name of the metal comes first, unchanged.
  • The nonmetal's name follows with an -ide suffix.
  • For transition metals use Roman numerals to indicate the charge.
  • Do not use prefixes; the chemical formula's subscripts give the necessary information.
If done correctly, the name of the compound reflects its formula, and vice versa, allowing for clear communication in scientific contexts.
Balancing Charges in Compounds
The practice of balancing charges in compounds is a straightforward yet vital part of chemical formula writing. The stability of compounds comes from the balance between the positively charged ions (cations) and the negatively charged ions (anions).

Our goal is to ensure that the total positive charge equals the total negative charge, so the compound is electrically neutral. The charges balance by adjusting the numbers of each type of ion so that the total positive and negative charges are the same. These numbers become the subscripts in the chemical formula.

Ensuring Charge Balance

  • Determine the charge of both ions.
  • Adjust the quantities of each ion so that total positive and negative charges are equal.
  • Use lowest whole numbers for the subscripts in the formula.
Mastering this balancing act ensures the creation of proper, stable chemical formulas—a cornerstone of chemical comprehension.

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