Copper crystallises into a fcc lattice with ...

NCERT Class XII Chemistry
Chapter - The Solid State
Questions with Solutions

Question : 15 of 50

Marks: +1, -0

Copper crystallises into a fcc lattice with edge length 3.61 × 10

^{-8}

cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm

^{-3}

Solution:

G Given

a=3.61 \times 10^{-8} \text{ cm}, Z=4(

for

\text{fcc}), M=63.5(

for

\mathrm{Cu}),

N_A=6.022 \times 10^{23}, d=?

Using formula, $ $

d= \frac{Z \times M}{a^{3} \times N_{A}}

= \frac{4 \times 63.5}{(3.61 \times 10^{-8})^{3} \times (6.022 \times 10^{23})}

=8.97 \text{ g} \text{ cm}^{-3}

This value is in close agreement with the measured value (8.92 g cm

^{-3}

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