AP EAMCET · Chemistry · Solid State
The cubic unit cell of a metal (molar mass \(=63.55 \mathrm{~g} \mathrm{~mol}^{-1}\) ) has an edge length of \(362 \mathrm{pm}\). Its density is \(8.92 \mathrm{~g} \mathrm{~cm}^{-3}\). The type of unit cell is
- A primitive
- B face centred
- C body centred
- D end centred
Answer & Solution
Correct Answer
(B) face centred
Step-by-step Solution
Detailed explanation
Density, \(d=\frac{M Z}{N_0 a^3}\) where, \(Z=\) number of atoms in unit cell \(\begin{aligned} \therefore \quad Z & =\frac{d N_0 a^3}{M} \\ & =\frac{8.92 \times 6.023 \times 10^{23} \times\left(362 \times 10^{-10}\right)^3}{63.55} \\ & =4.0 \end{aligned}\) Thus, metal has face…
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