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The peroxide linkage is not present in:
A.) H2SO5
B.) CrO5
C.) HNO4
D.) HClO4

Answer
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Hint: The peroxide linkage is that linkage in a compound in which two oxygen atoms are linked together by a single covalent bond. This linkage can be represented as (OO) in a compound. Peroxides are also used for bleaching agents.

Complete step by step answer:
In the peroxide bonds the oxidation state of oxygen is 1 (instead of normal 2 for double bonded oxygen). To find out the peroxide bonds in a compound we can consider the oxidation number of a central metal in a compound and if the oxidation number of a central metal in a compound that we are calculating by simple method is coming out to be greater than the maximum possible oxidation state of that central metal then that compound must contain peroxide bonds. These peroxide bonds can compensate the oxidation number of that central metal to a lower value that may be equal to the maximum possible oxidation state of that metal.
To decrease oxidation state by 2 we need one peroxide bond and to decrease oxidation state by 4 we need two peroxide bonds.
For option A.), In H2SO5, when we calculate the oxidation state of sulfur by simple calculation then it will be:
+2+x+(10)=0x=+8
But as we know that sulfur has a maximum oxidation state of +6. So, there will be one peroxide bond in which each oxygen will have 1 oxidation state instead of 2. So, it will have one peroxide bond in it. Its structure can be given as:
seo images


For option B.), In CrO5, when we calculate the oxidation state of chromium by simple calculation then it will be:
x+(10)x=+10
But as we know that chromium has a maximum oxidation state of +6. So, there will be two peroxide bonds in which each oxygen (total four oxygen) will have 1 oxidation state instead of 2. So, it will have two peroxide bonds in it. Its structure can be given as:
seo images


For option C.), In HNO4, when we calculate the oxidation state of nitrogen by simple calculation then it will be:
+1+x+(8)=0x=+7
But as we know that nitrogen has a maximum oxidation state of +5. So, there will be one peroxide bond in which each oxygen will have 1 oxidation state instead of 2. So, it will have one peroxide bond in it. Its structure can be given as:
seo images


For option D.), In HClO4, when we calculate the oxidation state of chlorine by simple calculation then it will be:
+1+x+(8)=0x=+7
As we know that chlorine has a maximum oxidation state of +7. So, there will not be any peroxide bond required. Its structure can be given as:
seo images


Hence, option D.) is the correct answer.

Note:
Always remember that sulfur has maximum possible oxidation state of +6, chromium also has +6 as maximum possible oxidation state, nitrogen has +5 maximum oxidation state and chlorine has maximum possible oxidation state as +7.