AP EAMCET · Chemistry · Solid State
The density of \(\beta\) - Fe is \(7.6 \mathrm{~g} \mathrm{~cm}^{-3}\). It crystallizes in cubic lattice with \(\mathrm{a}=290 \mathrm{pm}\). What is the value of Z ? \((\mathrm{Fe}=56\) \(\left.\mathrm{g} \mathrm{mol}^{-1} ; \mathrm{N}_{\mathrm{A}}=6.022 \times 10^{23} \mathrm{~mol}^{-1}\right)\)
- A \(2\)
- B \(1\)
- C \(4\)
- D \(6\)
Answer & Solution
Correct Answer
(A) \(2\)
Step-by-step Solution
Detailed explanation
\(\operatorname{Density}(\rho)=\frac{Z \times M}{N_A \times a^3}\) Given, \(\begin{aligned} & \rho=7.6 \mathrm{~g} / \mathrm{cm}^3 \\ & a=290 \times 10^{-12} \mathrm{~m} \\ & =290 \times 10^{-10} \mathrm{~cm} \end{aligned}\)…
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