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A metallic element has a cubic lattice. ...

A metallic element has a cubic lattice. Each edge of the unit cell is 2Å. The density of the metal is 2.5 g `cm^(-3)`.The unit cells in 200g of the metal are

A

`1 xx 10^(24)`

B

`1 xx 10^(22)`

C

`1 xx 10^(20)`

D

`1 xx 10^(25)`

Text Solution

Verified by Experts

The correct Answer is:
D
Edge length of the unit cell `=2Å=2 xx 10^(-8)cm` Volume of unit cell `=(2 xx 10^(-8))^(3)= 8 xx 1^(-24)cm^(3)` Mass of one unit cell= volume `xx` density `=8xx 10^(-24) xx 2.5`
Number of unit cell in 200g of metal `=("mass of the metal")/("mass of one unit cell")= (200)/(8xx 10^(-24)xx 2.5)=1 xx 10^(25)`
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Knowledge Check

  • A metallic element has a cubic lattice. Each edge of the unif cell is 2A^(@) . The density of the metal is 2.5gcm^(-3) . The unif cells in 200g of metal are

    A
    `1xx10^(24)`
    B
    `1xx10^(20)`
    C
    `1xx10^(22)`
    D
    `1xx10^(25)`

  • A metallic element has a cubic lattice. Each edge of the unit cell is 2 Å. The density of the metal is 25 g cm^(–3) . The number of unit cells in 200 g of the metal will be:

    A
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    B
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    C
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    D
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  • A metallic element has a cubic lattice. Each edge of the unit cell is 2.88 Å. The density of the metals is 7.20 g cm . How many unit cells will be there in 100 g of the metal?

    A
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    B
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    D
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