How are they finding the total change in the oxidation number?

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I can not understand the part in the box. How can one H_{2}0_{2}H202 give 2H_{2}O2H2O and 2H^{+}H+ .
Is this a standard equation and do I have to memorise this equation?

1 Answer
Apr 23, 2018

Look at the molecule....you gots a peroxide.....""^(-)O-O^(-)OO

Explanation:

By definition, the oxidation number of an atom involved in a chemical bond, is the charge it WOULD have if we conceive the bonding to be ionic, break the bond conceptually, and distribute the charge, i.e. the two electrons of the covalent bond, to the most electronegative atom...

Now we do this for water...H-O-Hrarr2xxH^+ +O^(2-)HOH2×H++O2...and so here we starts with a NEUTRAL water molecule, and the FOUR electrons of the 2xxH-O2×HO bonds ... devolve to oxygen as the MOST electronegative element. And so we gets 2xxstackrel(+I)H+stackrel(-II)O2×+IH+IIO...

And now we do this for hydrogen peroxide....we gots NEUTRAL HO-OHrarr 2xxdotOHHOOH2×.OH...we got an element-element bond, and because there is no difference in electronegativity given the SAME OXYGEN atom....the oxygens EACH get ONE electron from the peroxo linkage. And so FORMALLY, we got 2xxstackrel(-I)O2×IO, a peroxo linkage.

And so we can write the half equations in the normal manner...permanganate is reduced to Mn^(2+)Mn2+...with DISCHARGE of colour...

MnO_4^(-) +8H^+ +5e^(-) rarrMn^(2+)+4H_2O(l)MnO4+8H++5eMn2++4H2O(l) (i)(i)

And hydrogen peroxide is OXIDIZED to dioxygen gas...O(-I)rarrO(0)O(I)O(0)

H_2O_2(l) rarrO_2 +2H^+ + 2e^(-)H2O2(l)O2+2H++2e (ii)(ii)

Both redox reactions CONSERVE mass and charge, so this is kosher...and we gets the final redox equation by adding 2xx(i)+5xx(ii):2×(i)+5×(ii):

2MnO_4^(-) +16H^++5H_2O_2(l) +10e^(-) rarr2Mn^(2+)+5O_2 +10H^+ + 10e^(-)++8H_2O(l)2MnO4+16H++5H2O2(l)+10e2Mn2++5O2+10H++10e++8H2O(l)

And now we indulge in a cancellation banquet...

2MnO_4^(-) +5H_2O_2(l)+6H^+ rarr2Mn^(2+)+5O_2(g) +8H_2O(l)2MnO4+5H2O2(l)+6H+2Mn2++5O2(g)+8H2O(l)

Note that peroxide could be either oxidized OR reduced....