An element (at. Wt. = 50) crystallises in FCC lattice, with a = 0.50 nm. What is the density of the unit cell if it contains 0.25% Schottky defects? $(u s e N_{A} = 6 \times 10^{23})$ (a = Edge length of the unit cell)

2.0 g/cc

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2.66 g/cc

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3.06 g/cc

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None of these

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Solution

The correct option is B $2.66 g/cc$
Schottky defect is known to bring about a reduction in density due to the decrease in effective number of atoms per unit cell.
Hence, n = $4 \times (1 - \frac{0.25}{100}) = 3.99$
$ρ = \frac{Z M}{V N_{A}}$
$ρ = \frac{3.99 \times 50}{(0.5 \times 10^{- 9})^{3} \times 1000 \times 6 \times 10^{23}}$
$⟹ ρ = 2660 k g / m^{3} = 2.66 g / c c$

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Similar questions

Q. An element (at. Wt. = 50) crystallises in FCC lattice, with a = 0.50 nm. What is the density of the unit cell if it contains 0.25% Schottky defects?

(u s e N_{A} = 6 \times 10^{23})

(a = Edge length of the unit cell)

Q. An element (atomic weight = 50) crystallises in an fcc lattice, with a = 0.50 nm. The density of the unit cell (in gm/cc) if it contains 0.25% Schottky defects is

Q. If an element (atomic weight

= 50

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a = 0.50 nm

, the density

({in g/cm}^{3})

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Schottkey defects is: (use

N_{A} = 6 \times 10^{23}

)

Q. An element (atomic weight = 50) crystallises in an fcc lattice, with a = 0.50 nm. The density of the unit cell (in gm/cc) if it contains 0.25% Schottky defects is

If an element with atomic mass=50 crystalizes in FCC lattice, with edge length of unit cell as 0.5nm. What is the density of unit cell if it contains 0.25% Schottky defects

(a) 2 g/cc (b)2.66 g/cc (c)3.06 g/cc (d)none of these

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An element (at. Wt. = 50) crystallises in FCC lattice, with a = 0.50 nm. What is the density of the unit cell if it contains 0.25% Schottky defects? ( use NA=6×1023) (a = Edge length of the unit cell)

The correct option is B 2.66 g/ccSchottky defect is known to bring about a reduction in density due to the decrease in effective number of atoms per unit cell. Hence, n = 4×(1−0.25100)=3.99 ρ=ZMVNA ρ=3.99×50(0.5×10−9)3×1000×6×1023 ⟹ρ=2660 kg/m3=2.66 g/cc

An element (at. Wt. = 50) crystallises in FCC lattice, with a = 0.50 nm. What is the density of the unit cell if it contains 0.25% Schottky defects? $(u s e N_{A} = 6 \times 10^{23})$ (a = Edge length of the unit cell)