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A metal (molar mass = 108 g*mol^(-1)) cr...

A metal (molar mass = 108 `g*mol^(-1)`) crystallises in a cubic structure. If 1.08g of the metal contains `1.5057xx10^(21)` unit cells, then how many atoms are there in a unit cell?

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The total number of atoms present in 1.08 g of metal = `1.08/108xx6.022xx10^(23)=6.022xx10^(21)`.
Thus, as mentioned, `1.5057xx10^(21)` unit cell contain `6.022xx10^(21)` atoms.
`therefore` The number of atoms present per unit cell = `(6.022xx10^(21))/(1.5057xx10^(21))=4`.
Therefore, each unit cell contains 4 atoms.
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CHHAYA PUBLICATION-SOLID STATE-WARM UP EXERCISE
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  2. Molar mass of an element is Mg*mol^(-1). The element crystallises in a...

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  3. A metal (molar mass = 108 g*mol^(-1)) crystallises in a cubic structur...

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  4. A cubic unit cell contains one atom at each of its corner and two atom...

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  5. A crystalline compound formed by elements A and B has facecentred cubi...

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  6. What is packing efficiency of a unit cell? Show that the packing effic...

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  7. Show that 32% of the total space within a body-centred cubic unit cell...

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  8. Silver crystallises in a face-centred cubic structure. If the edge len...

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  9. In a simple, body-centred and face-centred cubic unit cell, the radii ...

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  10. Show that for a body-centred cubic unit cell made up of identical part...

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  11. A cubic unit cell with an edge length of a cm consists of identical pa...

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  12. What do you mean by coordination number of a constituent particle in a...

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  13. In two dimensions, which one represents the close-packed structure of ...

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  15. What are hcp and ccp structures? What are their unit cells? In what wa...

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  16. What are tetrahedral and octahedral voids in a close-packed structure ...

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  17. In a crystalline compound AB, B atoms form hexagonal close-packed stru...

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  18. The crystal lattice of the compound M(x)O(y) has cubic close-packed ar...

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  19. The crystal structure of a compound consisting of atoms M and N shows ...

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  20. Nickel (density = 8.9g*cm^(-3), atomic mass = 58.7g*mol^(-1)) crystall...

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