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CUET · CHEMISTRY · PYQ PAPER 2023

A compound is formed by two elements P and Q. Atoms of the element Q (anions) make hcp lattice and those of element P (cations) occupies \(\frac{1}{8}\)th of the tetrahedral voids. What is the formula of the compound?

  1. A \(PQ_4\)
  2. B \(PQ\)
  3. C \(PQ_2\)
  4. D \(P_3Q_2\)
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Answer & Solution

Correct Answer

(A) \(PQ_4\)

Step-by-step Solution

Detailed explanation

Number of Q atoms (hcp) = \(6\) Number of tetrahedral voids = \(2 \times 6 = 12\) Number of P atoms = \(\frac{1}{8} \times 12 = \frac{3}{2}\) Ratio P:Q = \(\frac{3}{2} : 6 = 3 : 12 = 1 : 4\) Formula of compound = \(PQ_4\)
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