AP EAMCET · Chemistry · Solid State
The crystal structure of an element has fcc lattice. If the edge length of the crystal is \(4^{\circ} \mathrm{A}\), what is the atomic weight (in \(\mathrm{g} \mathrm{mol}^{-1}\) ) of the element, if the density of the crystal is \(\left.11.21 \mathrm{~g} \mathrm{~cm}^{-3}\right)\left(\mathrm{N}_{\mathrm{A}}=6.023 \times 10^{23} \mathrm{~mol}^{-1}\right)\)
- A \(63.5\)
- B \(85.5\)
- C \(108.0\)
- D \(197.0\)
Answer & Solution
Correct Answer
(C) \(108.0\)
Step-by-step Solution
Detailed explanation
The effective no. of atoms in a fcc unit cell \(=4\) \(\therefore \quad \mathrm{d}=\frac{\mathrm{MW} \times 4}{\mathrm{~N}_{\mathrm{A}} \mathrm{a}^3} ; \mathrm{a}=4 Å=4 \times 10^{-8} \mathrm{~cm}\) \(\therefore \quad \mathrm{MW}=\frac{\mathrm{dN}_{\mathrm{A}} \mathrm{a}^3}{4}\)…
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