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The oxidation state of Cr in CrO(5) is...

The oxidation state of Cr in `CrO_(5)` is

A

`+6`

B

`+10`

C

`+5`

D

`+4`

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The correct Answer is:
To find the oxidation state of chromium (Cr) in `CrO_(5)`, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the oxidation state of oxygen**: - Oxygen typically has an oxidation state of -2. 2. **Calculate the total contribution of oxygen in `CrO_(5)`**: - Since there are 5 oxygen atoms, the total contribution from oxygen is: \[ 5 \times (-2) = -10 \] 3. **Set up the equation for the oxidation state of chromium**: - Let the oxidation state of chromium be \( x \). - The sum of the oxidation states in a neutral compound must equal zero. Therefore, we can write the equation: \[ x + (-10) = 0 \] 4. **Solve for \( x \)**: - Rearranging the equation gives: \[ x = +10 \] 5. **Determine the maximum oxidation state of chromium**: - The maximum oxidation state of chromium is +6. Since the calculated oxidation state of +10 exceeds this, it indicates that there are peroxy linkages present in the compound. 6. **Calculate the number of peroxy linkages**: - The difference between the calculated oxidation state and the maximum oxidation state is: \[ 10 - 6 = 4 \] - Since each peroxy linkage reduces the oxidation state by 1, we divide this difference by 2: \[ \text{Number of peroxy linkages} = \frac{4}{2} = 2 \] 7. **Conclusion**: - Therefore, the oxidation state of chromium in `CrO_(5)` is +6, considering the presence of 2 peroxy linkages. ### Final Answer: The oxidation state of Cr in `CrO_(5)` is +6.
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