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Question
Calculate the number of unit cells in 0.3 g of a species having density of 8.5 g/cm3 and unit cell edge length 3.25 × 10-8 cm.
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Solution
Given: Density (ρ) = 8.5 g/cm3, Edge length (a) = 3.25 × 10-8 cm, Mass of the species (x) = 0.3 g
To find: Number of unit cells in 0.3 g
Formula: Number of unit cells in x g of species = `x/(rho "a"^3)`
Calculation: Using formula,
Number of unit cells in 0.3 g of the species
`= (0.3 "g")/(8.5 "g cm"^-3 xx (3.25 xx 10^-8 "cm")^3)`
`= 1.03 xx 10^21`
Number of unit cells in 0.3 g of the given species is 1.03 × 1021.
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