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Question

In the reaction,
xOH+yAs2S3+zClO3aAsO34+bClO+3SO24+cH2O,

x,y,z,a,b, and c are respectively:

A
2,14,24,14,4,12
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B
24,4,14,2,14,12
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C
20,4,12,4,12,10
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D
24,2,14,4,14,12
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Solution

The correct option is D 24,2,14,4,14,12
a) First, let us split As2S3 into As3+ and S2 ions where As3+ is oxidized to AsO34 while S2 is oxidized to SO24. Whereas ClO3 is reduced to ClO.

b) Let us write balance the electrons for As3+AsO34 as
2+3As3+2+5AsO34+4e

c) Now let us balance the O atoms in the above reaction by adding H2O
2+3As3++8H2O2+5AsO34+4e

As you can see, there is an excess of 16H atoms on the LHS. To balance this, we add OH to the LHS (since the medium is basic) and also add an equal number of H2O to the RHS. The reaction now looks like,

16OH+2As3++8H2O2AsO34+4e+16H2O

which can be simplified as,
16OH+As6+2+2AsO34+4e+8H2O ...(i)

d) Now let us balance the other half oxidation reaction S2SO24 as

S633SO24+24e

e) in the above reaction, let us add 12H2O to the LHS to balance the O atoms

12H2O+S633SO24+24e

In the above reaction, as you can see, there is an excess of 24H atoms on the LHS. To balance this, we add OH to the LHS (since the medium is basic) and also add an equal number of H2O to the RHS. The reaction now looks like,

24OH+12H2O+S633SO24+24e+24H2O

which can be simplified to
24OH+S633SO24+24e+12H2O ...(ii)

Now, by adding the two half oxidation reactions (i) and (ii), we get the overall half oxidation reaction as

40OH+As2S32AsO34+3SO24+28e+20H2O ...(iii)

f) Balancing the only reduction half reaction takes a similar approach to the above two.

First, let us balance the electrons in ClO3ClO

4e+ClO3ClO

In the above reaction, let us balance for the O atoms by adding \2H+2O\) to the RHS.

4e+ClO3ClO+2H2O

g) In the above reaction we can see that there is an excess of 4H atoms on the RHS. So we add 4OH to the RHS
and also add 4H2O to the LHS. The reaction now looks like,

4e+ClO3+4H2OClO+2H2O+4OH

which can be simplified to ​

4e+ClO3+2H2OClO+4OH ...(iv)


h) multiplying equation (iii) × 2 && equation (iv) × 14 and adding, we get the balanced overall redoc reaction as

24OH+2As2S3+14ClO34AsO34+14ClO+12H2O+6SO24

Hence x = 24, y = 2, z = 14, a = 4, b = 14, c = 12.

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