ExamBro
ExamBro
AP EAMCET · Chemistry · Solid State

Silver forms CCP structure and it's density is \(10.5 \mathrm{~g} / \mathrm{cm}^3\). What is the edge length of unit cell. (molar mass of silver is \(107.9 \mathrm{~g} / \mathrm{mol}\) )

  1. A \(\sqrt[3]{0.68} Å\)
  2. B \(\sqrt[3]{48} Å\)
  3. C \(\sqrt[3]{68.1} Å\)
  4. D \(\sqrt[3]{680} Å\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\sqrt[3]{68.1} Å\)

Step-by-step Solution

Detailed explanation

\(\mathrm{d}=\frac{\mathrm{ZM}}{\mathrm{N}_{\mathrm{A}} \mathrm{a}^3} \Rightarrow \mathrm{a}^3=\frac{\mathrm{ZM}}{\mathrm{N}_{\mathrm{A}} \mathrm{d}}=\frac{(4)(107.9)}{\left(6.022 \times 10^{23}\right)(10.5)}\)…