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Predict the chemical formula for the ionic compound formed by (a) \(\mathrm{Ca}^{2+}\) and \(\mathrm{Br}^{-},\) (b) \(\mathrm{K}^{+}\) and \(\mathrm{CO}_{3}^{2-},\) (c) \(\mathrm{Al}^{3+}\) and \(\mathrm{CH}_{3} \mathrm{COO}^{-}\) (d) \(\mathrm{NH}_{4}^{+}\) and \(\mathrm{SO}_{4}^{2-}\), (e) \(\mathrm{Mg}^{2+}\) and \(\mathrm{PO}_{4}^{3-}\).

Short Answer

Expert verified
The chemical formulas for the given ionic compounds are: (a) \(\mathrm{CaBr}_{2}\) (b) \(\mathrm{K}_{2}\mathrm{CO}_{3}\) (c) \(\mathrm{Al}(\mathrm{CH}_{3}\mathrm{COO})_{3}\) (d) \((\mathrm{NH}_{4})_{2}\mathrm{SO}_{4}\) (e) \(\mathrm{Mg}_{3}(\mathrm{PO}_{4})_{2}\)

Step by step solution

01

Identify the charges on the ions

The calcium ion carries a positive charge of 2 (\(\mathrm{Ca}^{2+}\)), and the bromide ion has a negative charge of 1 (\(\mathrm{Br}^{-}\)).
02

Balance the charges

To balance the charges, we need to find the lowest common multiple (LCM) of the charges, which is 2 in this case. This means we need 1 calcium ion and 2 bromide ions to balance the charges. Thus, the chemical formula is \(\mathrm{CaBr}_{2}\). (b) \(\mathrm{K}^{+}\) and \(\mathrm{CO}_{3}^{2-}\)
03

Identify the charges on the ions

The potassium ion has a positive charge of 1 (\(\mathrm{K}^{+}\)), and the carbonate ion has a negative charge of 2 (\(\mathrm{CO}_{3}^{2-}\)).
04

Balance the charges

The LCM of the charges is 2, so we need 2 potassium ions and 1 carbonate ion to balance the charges. The chemical formula is \(\mathrm{K}_{2}\mathrm{CO}_{3}\). (c) \(\mathrm{Al}^{3+}\) and \(\mathrm{CH}_{3}\mathrm{COO}^{-}\)
05

Identify the charges on the ions

The aluminum ion has a positive charge of 3 (\(\mathrm{Al}^{3+}\)), and the acetate ion has a negative charge of 1 (\(\mathrm{CH}_{3}\mathrm{COO}^{-}\)).
06

Balance the charges

The LCM of the charges is 3, so we need 1 aluminum ion and 3 acetate ions to balance the charges. The chemical formula is \(\mathrm{Al}(\mathrm{CH}_{3}\mathrm{COO})_{3}\). (d) \(\mathrm{NH}_{4}^{+}\) and \(\mathrm{SO}_{4}^{2-}\)
07

Identify the charges on the ions

The ammonium ion has a positive charge of 1 (\(\mathrm{NH}_{4}^{+}\)), and the sulfate ion has a negative charge of 2 (\(\mathrm{SO}_{4}^{2-}\)).
08

Balance the charges

The LCM of the charges is 2, so we need 2 ammonium ions and 1 sulfate ion to balance the charges. The chemical formula is \(($$\mathrm{NH}_{4})_{2}\mathrm{SO}_{4}\). (e) \(\mathrm{Mg}^{2+}\) and \(\mathrm{PO}_{4}^{3-}\)
09

Identify the charges on the ions

The magnesium ion has a positive charge of 2 (\(\mathrm{Mg}^{2+}\)), and the phosphate ion has a negative charge of 3 (\(\mathrm{PO}_{4}^{3-}\)).
10

Balance the charges

The LCM of the charges is 6, so we need 3 magnesium ions and 2 phosphate ions to balance the charges. The chemical formula is \(\mathrm{Mg}_{3}(\mathrm{PO}_{4})_{2}\).

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Key Concepts

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

Chemical Formulas
Understanding chemical formulas is essential in grasping how compounds are formed and represented. When ions combine to create an ionic compound, it's important to depict their proportions correctly in a simple formula. Ionic compounds consist of positive and negative ions merged together. The chemical formula enunciates how many of each type of ion are needed to balance out the charges.
For instance, to form calcium bromide (\( \mathrm{CaBr}_2 \)), one calcium ion (positively charged) balances with two bromide ions (negatively charged). This approach ensures that the compound's net charge equals zero. A formula such as \( \mathrm{CaBr}_2 \) does not indicate the physical structure but neatly represents the proportionate ratio of ions within the compound. Remember, every ion impacts the formula, given its specific charge and number ratio. By mastering this skill, students can accurately predict the outcome of chemical reactions and compound structures they encounter.
Charge Balancing
Charge balancing is a critical concept in writing chemical formulas for ionic compounds. The fundamental concept is ensuring the total positive charge balances with the total negative charge, ensuring a neutral total charge. This balance allows atoms to reach a state of stability.
Imagine a see-saw where ions and their charges on both sides must equalize for equilibrium. When considering potassium carbonate, for instance, one must recognize that two potassium ions, each with a positive charge of +1, are needed to balance a single carbonate ion carrying a -2 charge. Thus, the formula becomes \( \mathrm{K}_2\mathrm{CO}_3 \). Similarly, in aluminum acetate, three acetates are required to match one aluminum's +3 charge, leading to the formula \( \mathrm{Al} (\mathrm{CH}_3\mathrm{COO})_3 \).
The process requires simple arithmetic to find the smallest whole number ratio that will equalize the total charge balance. Once understood, this concept becomes immensely powerful, aiding in the ease of forming correct chemical formulas.
Ions
Ions are atoms or molecules that have gained or lost one or more electrons, resulting in a net electrical charge. Understanding ions is vital since they play a crucial role in the formation of ionic compounds. There are two types of ions: cations, which are positively charged, and anions, which carry a negative charge.
Consider a cation like \( \mathrm{Ca}^{2+} \), derived from calcium losing two electrons. On the other hand, an anion like \( \mathrm{Br}^{-} \) forms when bromine gains an electron. Through their charge interactions, cations and anions join to neutralize each other's charge and create a stable ionic compound.
Each ion has a specific charge resulting from the difference in protons and electrons, and this charge is key to predicting the formulas of the compounds they form. Recognizing the charge on ions allows students to balance them correctly and create chemical formulas, unlocking the understanding of chemical interactions and compositions in nature.

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Most popular questions from this chapter

The element oxygen has three naturally occurring isotopes, with \(8,9,\) and 10 neutrons in the nucleus, respectively. (a) Write the full chemical symbols for these three isotopes. (b) Describe the similarities and differences between the three kinds of atoms of oxygen.

Naturally occurring magnesium has the following isotopic abundances: $$ \begin{array}{ccc} \hline \text { Isotope } & \text { Abundance } & \text { Atomic mass (amu) } \\\ \hline{ }^{24} \mathrm{Mg} & 78.99 \% & 23.98504 \\ { }^{25} \mathrm{Mg} & 10.00 \% & 24.98584 \\ { }^{26} \mathrm{Mg} & 11.01 \% & 25.98259 \\ \hline \end{array} $$ (a) What is the average atomic mass of \(\mathrm{Mg}\) ? (b) Sketch the mass spectrum of \(\mathrm{Mg}\).

For each of the following elements, write its chemical symbol, determine the name of the group to which it belongs (Table 2.3 ), and indicate whether it is a metal, metalloid, or nonmetal: (a) potassium, (b) iodine, (c) magnesium, (d) argon, (e) sulfur.

In a series of experiments, a chemist prepared three different compounds that contain only iodine and fluorine and determined the mass of each element in each compound: $$ \begin{array}{ccc} \hline \text { Compound } & \text { Mass of lodine (g) } & \text { Mass of Fluorine (g) } \\ \hline 1 & 4.75 & 3.56 \\ 2 & 7.64 & 3.43 \\ 3 & 9.41 & 9.86 \\ \hline \end{array} $$ (a) Calculate the mass of fluorine per gram of iodine in each compound. (b) How do the numbers in part (a) support the atomic theory?

How many of the indicated atoms are represented by each chemical formula: (a) carbon atoms in \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{COOCH}_{3}\), (b) oxygen atoms in \(\mathrm{Ca}\left(\mathrm{ClO}_{4}\right)_{2}\), (c) hydrogen atoms in \(\left(\mathrm{NH}_{4}\right)_{2} \mathrm{HPO}_{4} ?\)

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