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The oxidation number of P is +3 in -...

The oxidation number of P is `+3` in -

A

`H_(3)PO_(3)`

B

`H_(3)PO_(4)`

C

`HPO_(3)-`

D

`H_(4)P_(2)O_(7)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the oxidation number of phosphorus (P) in the compounds provided, we will analyze each compound step by step. ### Step-by-Step Solution: 1. **Identify the Compounds**: The question asks for the oxidation number of phosphorus in various compounds. The first compound we will analyze is H₃PO₃. 2. **Analyze H₃PO₃**: - Write the structure: H₃PO₃ consists of one phosphorus atom, three hydrogen atoms, and three oxygen atoms. - Assign oxidation states: - Hydrogen (H) has an oxidation state of +1. - Oxygen (O) has an oxidation state of -2. - Set up the equation based on the total charge: \[ 3(+1) + x + 3(-2) = 0 \] This simplifies to: \[ 3 + x - 6 = 0 \] \[ x - 3 = 0 \implies x = +3 \] - Therefore, the oxidation number of phosphorus in H₃PO₃ is **+3**. 3. **Analyze H₃PO₄**: - For H₃PO₄, the structure consists of one phosphorus atom, three hydrogen atoms, and four oxygen atoms. - Set up the equation: \[ 3(+1) + x + 4(-2) = 0 \] This simplifies to: \[ 3 + x - 8 = 0 \] \[ x - 5 = 0 \implies x = +5 \] - The oxidation number of phosphorus in H₃PO₄ is **+5**. 4. **Analyze HPO₃²⁻**: - For HPO₃²⁻, we have one hydrogen atom, one phosphorus atom, and three oxygen atoms. - Set up the equation: \[ (+1) + x + 3(-2) = -1 \quad (\text{since the overall charge is -1}) \] This simplifies to: \[ 1 + x - 6 = -1 \] \[ x - 5 = -1 \implies x = +4 \] - The oxidation number of phosphorus in HPO₃²⁻ is **+4**. 5. **Analyze H₄P₂O₇**: - For H₄P₂O₇, we have four hydrogen atoms, two phosphorus atoms, and seven oxygen atoms. - Set up the equation: \[ 4(+1) + 2x + 7(-2) = 0 \] This simplifies to: \[ 4 + 2x - 14 = 0 \] \[ 2x - 10 = 0 \implies x = +5 \] - The oxidation number of phosphorus in H₄P₂O₇ is **+5**. 6. **Conclusion**: The only compound where phosphorus has an oxidation number of **+3** is **H₃PO₃**.
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