JEE Challenger
More from p-Block Elements (Group 15-18)

Oxidation State Order of Phosphorus Oxyacids

Determine the correct decreasing sequence of the oxidation state of phosphorus in the molecules H3PO2\text{H}_3\text{PO}_2, H3PO4\text{H}_3\text{PO}_4, H3PO3\text{H}_3\text{PO}_3, and H4P2O6\text{H}_4\text{P}_2\text{O}_6:

Options

A

H3PO3>H3PO2>H3PO4>H4P2O6\text{H}_3\text{PO}_3 > \text{H}_3\text{PO}_2 > \text{H}_3\text{PO}_4 > \text{H}_4\text{P}_2\text{O}_6

B

H3PO4>H3PO2>H3PO3>H4P2O6\text{H}_3\text{PO}_4 > \text{H}_3\text{PO}_2 > \text{H}_3\text{PO}_3 > \text{H}_4\text{P}_2\text{O}_6

C

H3PO4>H4P2O6>H3PO3>H3PO2\text{H}_3\text{PO}_4 > \text{H}_4\text{P}_2\text{O}_6 > \text{H}_3\text{PO}_3 > \text{H}_3\text{PO}_2

Correct
D

H3PO2>H3PO3>H4P2O6>H3PO4\text{H}_3\text{PO}_2 > \text{H}_3\text{PO}_3 > \text{H}_4\text{P}_2\text{O}_6 > \text{H}_3\text{PO}_4

Step-by-Step Solution

To determine the correct decreasing order of the oxidation state of phosphorus (P\text{P}) in the given oxyacids, we calculate the oxidation number of P\text{P} in each molecule using standard oxidation state rules (Hydrogen = +1+1, Oxygen = −2-2):

  1. Orthophosphoric acid (H3PO4\text{H}_3\text{PO}_4): 3(+1)+x+4(−2)=03(+1) + x + 4(-2) = 0 3+x−8=0  ⟹  x=+53 + x - 8 = 0 \implies x = +5

  2. Hypophosphoric acid (H4P2O6\text{H}_4\text{P}_2\text{O}_6): 4(+1)+2x+6(−2)=04(+1) + 2x + 6(-2) = 0 4+2x−12=0  ⟹  2x=8  ⟹  x=+44 + 2x - 12 = 0 \implies 2x = 8 \implies x = +4

  3. Orthophosphorous acid (H3PO3\text{H}_3\text{PO}_3): 3(+1)+x+3(−2)=03(+1) + x + 3(-2) = 0 3+x−6=0  ⟹  x=+33 + x - 6 = 0 \implies x = +3

  4. Hypophosphorous acid (H3PO2\text{H}_3\text{PO}_2): 3(+1)+x+2(−2)=03(+1) + x + 2(-2) = 0 3+x−4=0  ⟹  x=+13 + x - 4 = 0 \implies x = +1

Comparing the calculated oxidation states of phosphorus: H3PO4(+5)>H4P2O6(+4)>H3PO3(+3)>H3PO2(+1)\text{H}_3\text{PO}_4 (+5) > \text{H}_4\text{P}_2\text{O}_6 (+4) > \text{H}_3\text{PO}_3 (+3) > \text{H}_3\text{PO}_2 (+1)

Thus, the correct decreasing sequence of the oxidation state of phosphorus is: H3PO4>H4P2O6>H3PO3>H3PO2\text{H}_3\text{PO}_4 > \text{H}_4\text{P}_2\text{O}_6 > \text{H}_3\text{PO}_3 > \text{H}_3\text{PO}_2

This matches Option C.