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An element crystallises in cubic structu...

An element crystallises in cubic structure. Its density is `2.41g*cm^(-3)`. The edge length of the unit cell of the crystal is 1.8Å. How many number of unit cells are present in 250g of element?

Text Solution

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The volume of unit cell, `a^(3)=(1.8xx10^(-8)cm)^(3)`
Mass of each unit cell = `2.41xx(1.8xx10^(-8))^(3)=14.055xx10^(-24)g`
`therefore` number of unit cells present in 250g of element
`=(1xx250)/(14.055xx10^(-24))=17.78xx10^(24)`
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