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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 ionic compounds formed are: (a) $\mathrm{CaBr}_2$, (b) $\mathrm{K}_2\mathrm{CO}_3$, (c) $\mathrm{Al}\left(\mathrm{CH}_3\mathrm{COO}\right)_3$, (d) $\left(\mathrm{NH}_4\right)_2\mathrm{SO}_4$, and (e) $\mathrm{Mg}_3\left(\mathrm{PO}_4\right)_2$.

Step by step solution

01

(a) Ca虏鈦 and Br鈦

: First, let's analyze the charges of the ions given: Ca虏鈦 has a charge of +2 and Br鈦 has a charge of -1. To create a neutral compound, we need to balance these charges. In this case, it's easy to see that by having two Br鈦 ions, we get a total charge of -2, which balances the Ca虏鈦 ion. Therefore the resulting formula for this ionic compound is: \[ \mathrm{CaBr}_2 \]
02

(b) K鈦 and CO鈧兟测伝

: The ions given are K鈦 with a charge of +1 and CO鈧兟测伝 with a charge of -2. To balance the charges, we'll need two K鈦 ions each with a charge of +1, in order to equal the -2 charge from CO鈧兟测伝. Thus, the chemical formula for this ionic compound is: \[ \mathrm{K}_2\mathrm{CO}_3 \]
03

(c) Al鲁鈦 and CH鈧僀OO鈦

: In this case, the ions are Al鲁鈦 with a charge of +3 and CH鈧僀OO鈦 with a charge of -1. To balance the charges, we'll need three CH鈧僀OO鈦 ions, one for each of the Al鲁鈦 ion's charges. Therefore, the chemical formula for this ionic compound is: \[ \mathrm{Al}\left(\mathrm{CH}_3\mathrm{COO}\right)_3 \]
04

(d) NH鈧勨伜 and SO鈧劼测伝

: The ions in this instance are NH鈧勨伜 with a charge of +1 and SO鈧劼测伝 with a charge of -2. To balance these charges, two NH鈧勨伜 ions will be necessary to match the -2 charge from the SO鈧劼测伝. The chemical formula for this ionic compound is: \[ \left(\mathrm{NH}_4\right)_2\mathrm{SO}_4 \]
05

(e) Mg虏鈦 and PO鈧劼斥伝

: Finally, the ions given are Mg虏鈦 with a charge of +2 and PO鈧劼斥伝 with a charge of -3. In order to balance these charges, we'll need 2 PO鈧劼斥伝 ions and 3 Mg虏鈦 ions, which means a total charge of -6 and +6, respectively. Thus, the chemical formula for this ionic compound is: \[ \mathrm{Mg}_3\left(\mathrm{PO}_4\right)_2 \]

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Key Concepts

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

Balancing Ionic Charges
Understanding how to balance ionic charges is vital when predicting the chemical formula of ionic compounds. Each ion brings a specific charge, with cations having a positive charge and anions carrying a negative charge. To obtain a neutral compound, the total positive charge must equal the total negative charge.

Consider the example of calcium (Ca虏鈦) and bromine (Br鈦). Calcium has a +2 charge, and bromine has a -1 charge. To balance these, we need two bromine ions, resulting in a neutral compound and the chemical formula \( \mathrm{CaBr}_2 \). This step is crucial as it ensures the stability of the resulting compound by achieving electrical neutrality.
Writing Chemical Formulas
Writing chemical formulas may seem daunting, but with practice, it becomes simpler. Once the charges are balanced, the formula is written by placing the cation first followed by the anion. Subscripts are used to indicate the number of ions needed to balance the charges.

For potassium (K鈦) and carbonate (CO鈧兟测伝), we bring in two potassium ions to offset the -2 charge of carbonate, leading to the formula \( \mathrm{K}_2\mathrm{CO}_3 \). An important point to remember is that when dealing with polyatomic ions like carbonate, parentheses are used only when multiple copies of the polyatomic ion are needed, as seen in \( \mathrm{Mg}_3(\mathrm{PO}_4)_2 \) where two phosphate ions are required.
Ionic Compound Nomenclature
Naming ionic compounds, or ionic compound nomenclature, involves a straightforward set of rules. The name of the cation is given first followed by the name of the anion. For monatomic anions, the end of the element's name is replaced with '-ide', as seen in calcium bromide for \( \mathrm{CaBr}_2 \).

Compounds with polyatomic ions follow the same rule, with the ion's common name being used, such as aluminum acetate for \( \mathrm{Al}(\mathrm{CH}_3\mathrm{COO})_3 \). It's essential to become familiar with common polyatomic ions to accurately name compounds containing them, and to remember that cations with more than one possible charge often have a Roman numeral indicating the charge in the name.
Polyatomic Ions
Polyatomic ions are ions composed of more than one atom, but they act as a single charged particle. These are widespread in ionic compounds and must be understood for accurate formula writing and naming. For example, the ammonium ion (NH鈧勨伜) and the sulfate ion (SO鈧劼测伝) combine to form ammonium sulfate \( (\mathrm{NH}_4)_2\mathrm{SO}_4 \).

The polyatomic ions often have unique names and formulas that must be memorized for correct usage. Importantly, these ions can have multiple charges, and it is the combination of these charges that determines how they combine with other ions to form ionic compounds, as seen with the phosphate ion (PO鈧劼斥伝) in magnesium phosphate \( \mathrm{Mg}_3(\mathrm{PO}_4)_2 \). Understanding polyatomic ions is critical for predicting the chemical formula for more complex ionic compounds.

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Most popular questions from this chapter

Give the names and charges of the cation and anion in each of the following compounds: (a) CuS, (b) \(\mathrm{Ag}_{2} \mathrm{SO}_{4}\), (c) \(\mathrm{Al}\left(\mathrm{ClO}_{3}\right)_{3}\), (d) \(\mathrm{Co}(\mathrm{OH})_{2}\), \((\mathrm{e}) \mathrm{PbCO}_{3}\)

Predict the chemical formulas of the compounds formed by the following pairs of ions: (a) \(\mathrm{Cu}^{2+}\) and \(\mathrm{Br}^{-}\), (b) \(\mathrm{Fe}^{3+}\) and \(\mathrm{O}^{2-}\), (c) \(\mathrm{Hg}_{2}^{2+}\) and \(\mathrm{CO}_{3}^{2-}\), (d) \(\mathrm{Ca}^{2+}\) and \(\mathrm{AsO}_{4}{ }^{3-}\), (e) \(\mathrm{NH}_{4}{ }^{+}\) and \(\mathrm{CO}_{3}{ }^{2-}\).

The natural abundance of \({ }^{3} \mathrm{He}\) is \(0.000137 \%\). (a) How many protons, neutrons, and electrons are in an atom of \({ }^{3} \mathrm{He}\) ? (b) Based on the sum of the masses of their subatomic particles, which is expected to be more massive, an atom of \({ }^{3} \mathrm{He}\) or an atom of \({ }^{3} \mathrm{H}\) (which is also called tritium)? (c) Based on your answer for part (b), what would need to be the precision of a mass spectrometer that is able to differentiate between peaks that are due to \({ }^{3} \mathrm{He}^{+}\) and \({ }^{3} \mathrm{H}^{+} ?\)

(a) What ending is used for the names of alkanes? (b) Hexane is an alkane whose structural formula has all its carbon atoms in a straight chain. Draw the structural formula for this compound, and determine its molecular and empirical formulas. (Hint: You might need to refer to Table 2.6.)

(a) What do ethane and ethanol have in common? (b) How does 1-propanol differ from propane?

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