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Question: Find the oxidation state of metals in oxides, oxo-cation, oxo-anion? $Sc_2O_3$, $TiO_2$, $VO_2^+$, ...

Find the oxidation state of metals in oxides, oxo-cation, oxo-anion?

Sc2O3Sc_2O_3, TiO2TiO_2, VO2+VO_2^+, CrO42CrO_4^{2-}, MnO4MnO_4^-

Answer

Sc: +3, Ti: +4, V: +5, Cr: +6, Mn: +7

Explanation

Solution

To find the oxidation state of metals in the given compounds, we use the following rules:

  1. The oxidation state of oxygen is typically -2.
  2. The sum of oxidation states of all atoms in a neutral compound is zero.
  3. The sum of oxidation states of all atoms in a polyatomic ion is equal to the charge of the ion.

Let 'x' be the oxidation state of the metal in each case.

  1. Sc2O3Sc_2O_3 (Scandium oxide)

    • 2(x)+3(2)=02(x) + 3(-2) = 0
    • 2x6=02x - 6 = 0
    • 2x=62x = 6
    • x=+3x = +3
    • The oxidation state of Sc is +3.
  2. TiO2TiO_2 (Titanium dioxide)

    • x+2(2)=0x + 2(-2) = 0
    • x4=0x - 4 = 0
    • x=+4x = +4
    • The oxidation state of Ti is +4.
  3. VO2+VO_2^+ (Vanadyl cation)

    • x+2(2)=+1x + 2(-2) = +1
    • x4=+1x - 4 = +1
    • x=+1+4x = +1 + 4
    • x=+5x = +5
    • The oxidation state of V is +5.
  4. CrO42CrO_4^{2-} (Chromate ion)

    • x+4(2)=2x + 4(-2) = -2
    • x8=2x - 8 = -2
    • x=2+8x = -2 + 8
    • x=+6x = +6
    • The oxidation state of Cr is +6.
  5. MnO4MnO_4^- (Permanganate ion)

    • x+4(2)=1x + 4(-2) = -1
    • x8=1x - 8 = -1
    • x=1+8x = -1 + 8
    • x=+7x = +7
    • The oxidation state of Mn is +7.

Oxidation states are determined by setting the sum of oxidation states of all atoms in a neutral compound to zero, or to the charge of a polyatomic ion. Oxygen is assigned an oxidation state of -2.