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Question 3.11: Applying Various Rules in Writing Formulas. Write the formul......

Applying Various Rules in Writing Formulas

Write the formula of the compound (a) tetranitrogen tetrasulfide; (b) ammonium chromate; (c) bromic acid; (d) calcium hypochlorite.

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Analyze

We must apply our knowledge of prefixes (such as tetra-) and endings (such as -ic), as well as the names of common polyatomic ions (such as ammonium, chromate, and hypochlorite).

Solve

(a) Molecules of this compound consist of four N atoms and four S atoms. The formula is N_{4}S_{4}.

(b) Two ammonium ions (NH_{4}^{+}) must be present for every chromate ion (CrO_{4}^{2−}). Place parentheses around NH_{4}^{+}, followed by the subscript 2. The formula is (NH_{4})_{2}CrO_{4}. (This formula is read as “N-H-4, taken twice, C-R-O-4.”)

(c) The -ic acid for the oxoacids of the halogens (group 17) has the halogen in the oxidation state of +5. Bromic acid is HBrO_{3} (analogous to HClO_{3} in Table 3.6).

(d) Here there are one Ca^{2+} and two ClO^{−} ions in a formula unit. This leads to the formula Ca(ClO)_{2}.

Assess

Notice that in writing formulas for compounds containing two or more polyatomic ions of the same type, as in (b) and (d), we put parentheses around the formula of the ion (without the charge), followed by a subscript indicating the number of ions of that type. Proper use and placement of parentheses in writing formulas is important.

TABLE 3.6        Nomenclature of Some Oxoacids and Their Salts
Oxidation

State

Formula

of Acid^{a}

 

Name of Acid^{b}

Formula

of Salt

 

Name of Salt^{b}

Cl: +1 HClO Hypochlorous acid NaClO Sodium hypochlorite
Cl: +3 HClO_{2} Chlorous acid NaClO_{2} Sodium chlorite
Cl: +5 HClO_{3} Chloric acid NaClO_{3} Sodium chlorate
Cl: +7 HClO_{4} Perchloric acid NaClO_{4} Sodium perchlorate
N: +3 HNO_{2} Nitrous acid NaNO_{2} Sodium nitrite
N: +5 HNO_{3} Nitric acid NaNO_{3} Sodium nitrate
S: +4 H_{2}SO_{3} Sulfurous acid Na_{2}SO_{3} Sodium sulfite
S: +6 H_{2}SO_{4} Sulfuric acid Na_{2}SO_{4} Sodium sulfate

^{a}In all these acids, H atoms are bonded to O atoms, not the central nonmetal atom. Often formulas are written to reflect this fact, for instance, HOCl instead of HClO and HOClO instead of HClO_{2}.
^{b}In general, the -ic and -ate names are assigned to compounds in which the central nonmetal atom has an oxidation state equal to the periodic table group number minus 10. Halogen compounds are exceptional in that the -ic and -ate names are assigned to compounds in which the halogen has an oxidation state of +5 (even though the group number is 17).

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