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An Element Occurs in a Body-centred Cubic Structure. Its Density is 8.0 G/Cm3. If the Cell Edge is 250 Pm, Calculate the Atomic Mass of an Atom of this Element. (N0 = 6.023 × 1023) - Chemistry (Theory)

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Question

An element occurs in a body-centred cubic structure. Its density is 8.0 g/cm3. If the cell edge is 250 pm, calculate the atomic mass of an atom of this element. (N0 = 6.023 × 1023)

Sum

Solution

Z = 2(BCC)

ρ = 8.0 g/cm3

a = 250 × 10-10 cm

N0 =6.022 × 1023

A = ?

We know that ρ = `("Z" xx "A")/("N"_0 xx "a"^3)`

A = `(rho xx "N"_0 xx "a"^3)/"Z"`

`= (8.0 xx 6.022 xx 10^23 xx (250 xx 10^-10)^3)/2`

A = 94 amu

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States of Matters: Structure and Properties Solid State - Calculation of Density of Unit Cell
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2018-2019 (March) Set 1
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