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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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