Write the chemical formula for each of the following, and indicate the oxidation state of the halogen or noble-gas atom in each: (a) xenon trioxide difluoride, \((\mathbf{b})\) chlorine dioxide, \((\mathbf{c})\) molybdenum hexafluoride, \((\mathbf{d})\) iodic acid, (e) sodium hypobromite, \((\mathbf{f})\) magnesium iodite.

Short Answer

Expert verified
The chemical formulas and oxidation states for the given compounds are: a) Xenon trioxide difluoride: XeO₃F₂, oxidation state of Xe is +8. b) Chlorine dioxide: ClO₂, oxidation state of Cl is +4. c) Molybdenum hexafluoride: MoF₆, oxidation state of Mo is +6. d) Iodic acid: HIO₃, oxidation state of I is +5. e) Sodium hypobromite: NaBrO, oxidation state of Br is +1. f) Magnesium iodite: Mg(IO₂)₂, oxidation state of I is +3.

Step by step solution

01

a) Xenon trioxide difluoride

First, we need to identify the elements involved: xenon (Xe), oxygen (O), and fluorine (F). The prefixes 'tri' and 'di' tell us there are three oxygen atoms and two fluorine atoms. The chemical formula is XeO₃F₂. To find the oxidation state of Xe, we can set up an equation based on the oxidation state of oxygen (-2) and fluorine (-1), and then solve for Xe: \(x + 3(-2) + 2(-1) = 0 \Rightarrow x = +8\). The oxidation state of xenon in the compound is +8.
02

b) Chlorine dioxide

Chlorine (Cl) and oxygen (O) are the elements involved. In chlorine dioxide, there is one chlorine and two oxygen atoms. The chemical formula is ClO₂. The oxidation state of oxygen is -2, so to find the oxidation state of chlorine, we set up the equation: \(x + 2(-2) = 0 \Rightarrow x = +4\). The oxidation state of chlorine in the compound is +4.
03

c) Molybdenum hexafluoride

The elements in this compound are molybdenum (Mo) and fluorine (F). The prefix 'hexa' indicates that there are six fluorine atoms. The chemical formula is MoF₆. The oxidation state of fluorine is -1. To find the oxidation state of Mo, we set up an equation: \(x + 6(-1) = 0 \Rightarrow x = +6\). The oxidation state of molybdenum in the compound is +6.
04

d) Iodic acid

In iodic acid, the elements involved are iodine (I), hydrogen (H), and oxygen (O). The chemical formula is HIO₃. The oxidation state of hydrogen is +1 and for oxygen is -2. To find the oxidation state of iodine, we set up an equation: \((+1) + x + 3(-2) = 0 \Rightarrow x = +5\). The oxidation state of iodine in the compound is +5.
05

e) Sodium hypobromite

The elements in the sodium hypobromite are sodium (Na), bromine (Br), and oxygen (O). The chemical formula is NaBrO. The oxidation state of sodium is +1 and for oxygen is -2. To find the oxidation state of bromine, we set up an equation: \( (+1) + x + (-2) = 0 \Rightarrow x = +1\). The oxidation state of bromine in the compound is +1.
06

f) Magnesium iodite

Magnesium (Mg) and iodine (I) are the elements in magnesium iodite. This compound contains the iodite ion (IO₂⁻). The chemical formula is Mg(IO₂)₂. The magnesium ion (Mg²⁺) has an oxidation state of +2 and each iodite ion has a charge of -1. The oxidation state of iodine in the iodite ion is found by setting up an equation: \(x + 2(-2) = -1 \Rightarrow x = +3\). The oxidation state of iodine in the compound is +3.

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