Answer :
Sure, I'll walk you through the process of naming these compounds step-by-step. Each of these compounds contains a metal that can exhibit more than one ionic charge, so we need to determine the charge of the metal in each case to name them accurately.
### (a) [tex]\( Cr_2O_3 \)[/tex]
1. Identify the non-metal and its typical charge:
- Oxygen (O) typically has a charge of [tex]\(2- \)[/tex].
2. Calculate the total charge contributed by the non-metal:
- There are 3 oxygen atoms.
- Total charge from oxygen = [tex]\( 3 \times -2 = -6 \)[/tex].
3. Determine the charge on chromium (Cr) to balance the compound:
- The compound is neutral, so the total positive charge from chromium must balance the total negative charge from oxygen.
- To balance the [tex]\( -6 \)[/tex] charge, the total charge from chromium must be [tex]\( +6 \)[/tex].
4. Determine the charge of each chromium atom:
- There are 2 chromium atoms.
- Charge per chromium = [tex]\( \frac{+6}{2} = +3 \)[/tex].
5. Name the compound:
- Chromium with a [tex]\( 3+ \)[/tex] charge is named as Chromium(III).
- Therefore, the name of [tex]\( Cr_2O_3 \)[/tex] is Chromium(III) oxide.
### (b) [tex]\( FeCl_2 \)[/tex]
1. Identify the non-metal and its typical charge:
- Chloride (Cl) typically has a charge of [tex]\(1- \)[/tex].
2. Calculate the total charge contributed by the non-metal:
- There are 2 chloride ions.
- Total charge from chloride = [tex]\( 2 \times -1 = -2 \)[/tex].
3. Determine the charge on iron (Fe) to balance the compound:
- The compound is neutral, so the total positive charge from iron must balance the total negative charge from chloride.
- To balance the [tex]\( -2 \)[/tex] charge, the charge from iron must be [tex]\( +2 \)[/tex].
4. Name the compound:
- Iron with a [tex]\( 2+ \)[/tex] charge is named as Iron(II).
- Therefore, the name of [tex]\( FeCl_2 \)[/tex] is Iron(II) chloride.
### (c) [tex]\( CrO_3 \)[/tex]
1. Identify the non-metal and its typical charge:
- Oxygen (O) typically has a charge of [tex]\(2- \)[/tex].
2. Calculate the total charge contributed by the non-metal:
- There are 3 oxygen atoms.
- Total charge from oxygen = [tex]\( 3 \times -2 = -6 \)[/tex].
3. Determine the charge on chromium (Cr) to balance the compound:
- The compound is neutral, so the total positive charge from chromium must balance the total negative charge from oxygen.
- To balance the [tex]\( -6 \)[/tex] charge, the charge from chromium must be [tex]\( +6 \)[/tex].
4. Name the compound:
- Chromium with a [tex]\( 6+ \)[/tex] charge is named as Chromium(VI).
- Therefore, the name of [tex]\( CrO_3 \)[/tex] is Chromium(VI) oxide.
In summary, the names of the compounds are:
- (a) [tex]\( Cr_2O_3 \)[/tex]: Chromium(III) oxide
- (b) [tex]\( FeCl_2 \)[/tex]: Iron(II) chloride
- (c) [tex]\( CrO_3 \)[/tex]: Chromium(VI) oxide
### (a) [tex]\( Cr_2O_3 \)[/tex]
1. Identify the non-metal and its typical charge:
- Oxygen (O) typically has a charge of [tex]\(2- \)[/tex].
2. Calculate the total charge contributed by the non-metal:
- There are 3 oxygen atoms.
- Total charge from oxygen = [tex]\( 3 \times -2 = -6 \)[/tex].
3. Determine the charge on chromium (Cr) to balance the compound:
- The compound is neutral, so the total positive charge from chromium must balance the total negative charge from oxygen.
- To balance the [tex]\( -6 \)[/tex] charge, the total charge from chromium must be [tex]\( +6 \)[/tex].
4. Determine the charge of each chromium atom:
- There are 2 chromium atoms.
- Charge per chromium = [tex]\( \frac{+6}{2} = +3 \)[/tex].
5. Name the compound:
- Chromium with a [tex]\( 3+ \)[/tex] charge is named as Chromium(III).
- Therefore, the name of [tex]\( Cr_2O_3 \)[/tex] is Chromium(III) oxide.
### (b) [tex]\( FeCl_2 \)[/tex]
1. Identify the non-metal and its typical charge:
- Chloride (Cl) typically has a charge of [tex]\(1- \)[/tex].
2. Calculate the total charge contributed by the non-metal:
- There are 2 chloride ions.
- Total charge from chloride = [tex]\( 2 \times -1 = -2 \)[/tex].
3. Determine the charge on iron (Fe) to balance the compound:
- The compound is neutral, so the total positive charge from iron must balance the total negative charge from chloride.
- To balance the [tex]\( -2 \)[/tex] charge, the charge from iron must be [tex]\( +2 \)[/tex].
4. Name the compound:
- Iron with a [tex]\( 2+ \)[/tex] charge is named as Iron(II).
- Therefore, the name of [tex]\( FeCl_2 \)[/tex] is Iron(II) chloride.
### (c) [tex]\( CrO_3 \)[/tex]
1. Identify the non-metal and its typical charge:
- Oxygen (O) typically has a charge of [tex]\(2- \)[/tex].
2. Calculate the total charge contributed by the non-metal:
- There are 3 oxygen atoms.
- Total charge from oxygen = [tex]\( 3 \times -2 = -6 \)[/tex].
3. Determine the charge on chromium (Cr) to balance the compound:
- The compound is neutral, so the total positive charge from chromium must balance the total negative charge from oxygen.
- To balance the [tex]\( -6 \)[/tex] charge, the charge from chromium must be [tex]\( +6 \)[/tex].
4. Name the compound:
- Chromium with a [tex]\( 6+ \)[/tex] charge is named as Chromium(VI).
- Therefore, the name of [tex]\( CrO_3 \)[/tex] is Chromium(VI) oxide.
In summary, the names of the compounds are:
- (a) [tex]\( Cr_2O_3 \)[/tex]: Chromium(III) oxide
- (b) [tex]\( FeCl_2 \)[/tex]: Iron(II) chloride
- (c) [tex]\( CrO_3 \)[/tex]: Chromium(VI) oxide
