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JEE Advanced 2022 Paper 2 · Chemistry · Redox Reactions and Titrations · medium

White phosphorus reacts with hot aqueous NaOH: P4+3NaOH+3H2OrightarrowPH3+3NaH2PO2. In an experiment, 12.4 g of P4 (molar mass 124 g mol^-1) reacts…

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White phosphorus reacts with hot aqueous NaOH\mathrm{NaOH}: P4+3NaOH+3H2O→PH3+3NaH2PO2\mathrm{P_4}+3\mathrm{NaOH}+3\mathrm{H_2O}\rightarrow\mathrm{PH_3}+3\mathrm{NaH_2PO_2}. In an experiment, 12.4 g12.4\ \mathrm{g} of P4\mathrm{P_4} (molar mass 124 g mol−1124\ \mathrm{g\,mol^{-1}}) reacts completely with excess alkali. Molar mass of NaH2PO2=88 g mol−1\mathrm{NaH_2PO_2}=88\ \mathrm{g\,mol^{-1}}. The mass of sodium hypophosphite formed and the number of moles of electrons gained by phosphorus in the reduction half of this disproportionation are, respectively,
  1. A. 8.8 g8.8\ \mathrm{g} and 0.3 mol0.3\ \mathrm{mol}
  2. B. 26.4 g26.4\ \mathrm{g} and 0.9 mol0.9\ \mathrm{mol}
  3. C. 88.0 g88.0\ \mathrm{g} and 0.3 mol0.3\ \mathrm{mol}
  4. D. 26.4 g26.4\ \mathrm{g} and 0.3 mol0.3\ \mathrm{mol}
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Answer: (D) 26.4 g26.4\ \mathrm{g} and 0.3 mol0.3\ \mathrm{mol}

Moles of P4=12.4/124=0.100\mathrm{P_4}=12.4/124=0.100 mol. From the balanced equation (check: P 4 = 1 + 3, Na 3, O 6 = 6, H 9 = 3 + 6), each mole of P4\mathrm{P_4} gives 3 mol of NaH2PO2\mathrm{NaH_2PO_2} and 1 mol of PH3\mathrm{PH_3}.

Mass of NaH2PO2=0.100×3×88=26.4\mathrm{NaH_2PO_2}=0.100\times3\times88=26.4 g.

Oxidation states: in P4\mathrm{P_4} each P is 00; in NaH2PO2\mathrm{NaH_2PO_2}, P is +1+1 (oxidation, 3 atoms per P4\mathrm{P_4}, losing 3 electrons in total); in PH3\mathrm{PH_3}, P is −3-3 (reduction, 1 atom, gaining 3 electrons). Electron balance: 3×1=33\times1=3 lost =1×3=3=1\times3=3 gained. Electrons gained =0.100×3=0.30=0.100\times3=0.30 mol.

Option 1 uses only one mole of product; option 2 multiplies the electron count by 3 (counting all P atoms); option 3 takes 88 g as the mass for the whole P4\mathrm{P_4} run, ignoring the amounts of substance. The answer is 26.426.4 g and 0.30.3 mol.
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