Copper crystallizes into a fcc lattice with edge length 3-61- 10-8 cm- The calculated density is-

nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp;Density, ρ=Z× Ma^3× N_A For fcc lattice, Z = 4; Atomic mass of copper, M = 63.5 ...

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Standard IX

Mathematics

Volume of a sphere

Copper crysta...

Question

Copper crystallizes into a fcc lattice with edge length $3.61 \times 10^{- 8} cm$ . The calculated density is:

5.45 gm / cc

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8.97 gm / cc

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6.02 gm / cc

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10.9 gm / cc

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Solution

The correct option is B $8.97 gm / cc$
$Density, ρ = \frac{Z \times M}{a^{3} \times N_{A}}$

For fcc lattice, $Z = 4$ ;
$Atomic mass of copper, M = 63.5 {g mol}^{- 1}$
$\Rightarrow ρ = \frac{4 \times 63.5 {g mol}^{- 1}}{{(3.61 \times 10^{- 8} cm)}^{3} \times (6.022 \times 10^{23} {mol}^{- 1})} = 8.97 {g cm}^{- 3}$
Hence, option (a) is the correct answer.

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Similar questions

Copper crystallises into a fcc lattice with edge length $3.61 \times 10^{- 8} c m .$ Show that the calculated density is in agreement with its measured value of $8.92 g c m^{- 3}$

Silver crystallizes in fcc lattice. If the edge length of the cell is $4.07 \times 10^{- 8} c m$ and density is $10.5 g c m^{- 3}$ , calculate the atomic mass of silver.

Q. a) Copper crystallizes into a fcc lattice with edge length

3.61 \times 10^{- 8}

. Show that the calculated density is in agreement with its measured value of

8.92 g / c m^{3}

b) Which type of forces are present in ionic solids?

Q. Copper crystallises into a fcc structure and the unit cell has length of edge

3.61 \times 10^{- 8} c m

calculate the density of copper if the molar mass of Cu is

63.5 g m o l^{- 1}

Silver crystallizes in the fcc lattice. If the edge length of the cell is $4.07 * 10^{- 8}$ cm and the density is $10.5 g {cm}^{- 3}$ . Calculate the atomic mass of metal?

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Copper crystallizes into a fcc lattice with edge length 3.61×10−8 cm. The calculated density is:

The correct option is B 8.97 gm/cc Density, ρ=Z×Ma3×NA For fcc lattice, Z=4; Atomic mass of copper,M=63.5 g mol−1 ⇒ρ=4×63.5 g mol−1(3.61×10−8 cm)3×(6.022×1023mol−1)=8.97 g cm−3 Hence, option (a) is the correct answer.

Copper crystallizes into a fcc lattice with edge length $3.61 \times 10^{- 8} cm$ . The calculated density is: