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Phosphorous has the oxidation state of +...

Phosphorous has the oxidation state of +1 in:

A

(a)Orthophosphoric acid

B

(b)Phosphorous acid

C

(C)Hypophosphoric acid

D

(d)Metaphosphoric acid

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To determine the oxidation state of phosphorus in various compounds, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Compound**: We need to analyze the oxidation state of phosphorus in the given compounds: orthophosphoric acid (H₃PO₄), phosphorus acid (H₃PO₃), hypophosphorous acid (H₃PO₂), and metaphosphoric acid (HPO₃). 2. **Orthophosphoric Acid (H₃PO₄)**: - Let the oxidation state of phosphorus be \( x \). - The oxidation state of hydrogen (H) is +1, and there are 3 hydrogen atoms: \( 3 \times (+1) = +3 \). - The oxidation state of oxygen (O) is -2, and there are 4 oxygen atoms: \( 4 \times (-2) = -8 \). - The overall charge of the compound is neutral (0), so we set up the equation: \[ +3 + x - 8 = 0 \] - Simplifying gives: \[ x - 5 = 0 \implies x = +5 \] - Therefore, the oxidation state of phosphorus in orthophosphoric acid is +5. 3. **Phosphorus Acid (H₃PO₃)**: - Let the oxidation state of phosphorus be \( x \). - The oxidation state of hydrogen is +1, and there are 3 hydrogen atoms: \( 3 \times (+1) = +3 \). - The oxidation state of oxygen is -2, and there are 3 oxygen atoms: \( 3 \times (-2) = -6 \). - Setting up the equation: \[ +3 + x - 6 = 0 \] - Simplifying gives: \[ x - 3 = 0 \implies x = +3 \] - Therefore, the oxidation state of phosphorus in phosphorus acid is +3. 4. **Hypophosphorous Acid (H₃PO₂)**: - Let the oxidation state of phosphorus be \( x \). - The oxidation state of hydrogen is +1, and there are 3 hydrogen atoms: \( 3 \times (+1) = +3 \). - The oxidation state of oxygen is -2, and there are 2 oxygen atoms: \( 2 \times (-2) = -4 \). - Setting up the equation: \[ +3 + x - 4 = 0 \] - Simplifying gives: \[ x - 1 = 0 \implies x = +1 \] - Therefore, the oxidation state of phosphorus in hypophosphorous acid is +1. 5. **Metaphosphoric Acid (HPO₃)**: - Let the oxidation state of phosphorus be \( x \). - The oxidation state of hydrogen is +1, and there is 1 hydrogen atom: \( 1 \times (+1) = +1 \). - The oxidation state of oxygen is -2, and there are 3 oxygen atoms: \( 3 \times (-2) = -6 \). - Setting up the equation: \[ +1 + x - 6 = 0 \] - Simplifying gives: \[ x - 5 = 0 \implies x = +5 \] - Therefore, the oxidation state of phosphorus in metaphosphoric acid is +5. ### Conclusion: The oxidation state of phosphorus is +1 in **hypophosphorous acid (H₃PO₂)**. ---
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