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TS EAMCET · Chemistry · Solid State

At \(\mathrm{T}(\mathrm{K})\), copper (atomic mass \(=63.5 \mathrm{u}\) ) has fcc structure with an edge length of \(\mathrm{x} Å\). The density of copper (in \(\mathrm{g} \mathrm{cm}^{-3}\) ) at that temperature approximately is \(\left(\mathrm{N}_{\mathrm{A}}=6.0 \times 10^{23} \mathrm{~mol}^{-1}\right)\)

  1. A \(\frac{423}{x}\)
  2. B \(\frac{4.23}{x^3}\)
  3. C \(\frac{423}{x^3}\)
  4. D \(\frac{212.5}{x^3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{423}{x^3}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { density (d) }=\frac{Z \times M}{N \times a} \\ & \text { for } \mathrm{Cu} ; \mathrm{z}=4(\text { for Fcc) } \\ & \mathrm{a}=\mathrm{x} Å=\mathrm{x} \times 10^{-8} \mathrm{~cm} \\ & \mathrm{~N}_{\mathrm{A}}=6.0 \times 10^{23} \mathrm{~mol}^{-1} \\ &…