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A metal crystallises in face-centred cub...

A metal crystallises in face-centred cubic lattice with edge length of 450 pm, Molar mass of metal is `50 g mol^(-1)`. The density of the metal is

A

`3.12 g cm^(-3)`

B

`3.64 g cm^(-3)`

C

`3.95 g cm^(-3)`

D

`4.02 g cm^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`3.64 g cm^(-3)`
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Knowledge Check

  • A metal crystallises face-centred cubic lattice with edge length of 450pm. Molar mass of the metal is 50 g "mol"^(-1) . The density of metal will be :

    A
    `2.64 g cm^(-3)`
    B
    `3.64 g cm^(-3)`
    C
    `4.64 g cm^(-1)`
    D
    `2.68 g cm^(-3)`

  • An imaginary metal crystallises in a cubic lattice. The unit cell edge length is 100 pm, (1 pm = 10^(-12)m ). The density of this metal is 200g//cm^3 The atomic mass of the metal is 60.2 g/mol. How many of these metal atoms are there within a unit cell?

    A
    1
    B
    2
    C
    4
    D
    6

  • An element 'X' crystallises as face centred cubic lattice with edge length of 460 pm. The density of the element X, when molar mass of X atom is 60 g mol^(-1) is

    A
    4.096`" "cm^(-3)`
    B
    2.048`" "cm^(-3)`
    C
    6.144`" "cm^(-3)`
    D
    3.072 g `" "cm^(-3)`

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