calculate number ofunit cells in 0.3g ofa species having density of 8.5 g/cm^3 and unit cell edge length 3.25*10^-8cm
Answers
We have to calculate the number of unit cells in 0.3g of a species having density of 8.5 g/cm³ and unit cell edge length is 3.25 × 10^-8 cm.
solution : volume of a unit cell = (edge length)³
= (3.25 × 10^-8 cm)³
= 3.433 × 10¯²³ cm³
mass of a unit cell = density × volume of a unit cell
⇒mass of a unit cell = 8.5 g/cm³ × 3.433 × 10¯²³ cm³ = 29.18 × 10¯²³ g ≈ 0.3 × 10¯²¹ g
now number of unit cells = given mass/mass of a unit cell
= 0.3g/(0.3 × 10¯²¹ g)
= 10²¹
Therefore the number of unit cells is 10²¹.
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