Chemistry, asked by aishwaryasolunke95, 7 days ago

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

Answered by abhi178
1

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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