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Potassium crystallizes in bcc unit cell ...

Potassium crystallizes in bcc unit cell with distance nearest neighbours of 4.52 Å, if its atomic mass = 39 amu.
(a)What would be edge length of unit cell ?
(b)What would be the density of K metal ?
(c ) How many nearest neighbouring atoms does each potassium atom has ?

Text Solution

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(a)5.22 Å, (b)`"0.919 g cm"^(-3)` , (c ) 8
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Potassium crystallises in a bcc lattice as shown in figure : (a) What is the distance the nearest neighbours ? (b) What is the distance between the next nearest neighbours ? (c) How many nearest neighbours does each potassium atom have ? (d) How many next nearest neighbours does each potassium atom have ?

Potassium has a bcc structure with nearest neighour distance 4.52 Å its atomic weight is 39 its density (in kg m^(-3) ) will be

Knowledge Check

  • A metal crystallises in a bcc lattice ,its unit cell edge length in about 300 pm and its molar mass is about 50g mol^(-1) what would be the density of the metal (in g cm^(-3)) ?

    A
    `"10 g cm"^(-3)`
    B
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    D
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