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Chemistry Question on Oxidation Number

The oxidation numbers of the sulphur atoms in peroxomonosulphuric acid (H2SO5)(H_{2}SO_{5}) and peroxodisulphuric acid (H2S2O8)(H_{2}S_{2}O_{8}) are respectively

A

+8+8 and +7+7

B

+3+3 and +3+3

C

+6+6 and +6+6

D

+4+4 and +6+6

Answer

+6+6 and +6+6

Explanation

Solution

Both the peroxomonosulphuric acid (H2SO5)\left( H _{2} SO _{5}\right) and peroxodisulphuric acid (H2S2O8)\left( H _{2} S _{2} O _{8}\right) have peroxide linkage and have the following structures.
Thus, the oxidation number of SS in H2SO5H _{2} SO _{5} is calculated as:
2×(+1)( for H)+X( for S)+3×(2) for O×2×(1) (for peroxide) =0\underset{(\text { for } H )}{2 \times(+1)}+\underset{(\text { for } S )}{ X }+\underset{\text { for } O }{3 \times (-2)} \times \underset{\text { (for peroxide) }}{2 \times (-1)}=0
2+x62=02+x-6-2=0
x=+6\therefore x =+6
Thus, oxidation number of SS in H2S2O8H _{2} S _{2} O _{8} is calculated as
2×(+1)( for H+2×(x)( for S)+6×(2)( for O)+2×(1)(for peroxide)=0\underset{(\text{ for } H}{2 \times (+1)} + \underset{(\text{ for } S)}{2\times (x)} +\underset{(\text{ for } O)}{6\times (-2)} +\underset{\text{(for peroxide)}}{2\times (-1)} = 0
2+2x12+2=02+2 x -12+2=0
x=+6\therefore x =+6