6. Calculate the density of the bcc lattice if its edge length
is 409 pm. Its molar mass is 216.3 g mol-1 and
Avogadro number is 6.02 x 1023 mol-1.
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12th
Chemistry
The Solid State
Packing Efficiency and Calculations Involving Unit Cell Dimensions
Metal has an fcc lattice. T...
CHEMISTRY
Metal has an fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm
−3
. The molar mass (in g mol
−1
) of the metal is:
[Avogadro's constant =N
A
=6.02×10
23
mol
−1
]
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ANSWER
The formula for the density of the metal is as given below:
d=
V×N
A
Z×M
Substituting values in the above expression, we get
2.72=
(4.04×10
−8
)
3
×6.02×10
23
4×M
M=
4
2.72×(4.04)
3
×6.02×10
−1
=27 g/mol
Hence, the molar mass of the metal is 27 g/mol.
Hence, the correct option is C
Explanation:
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