Q.

A copper complex crystallising in a CCP lattice with a cell edge of 0.4518 nm has been revealed by employing X-ray diffraction studies. The density of a copper complex is found to be 7.62 g cm–3. The molar mass of copper complex is _____g mol–1. [Given: NA = 6.022 × 1023 mol–1]

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answer is 106.

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Detailed Solution

Given, CCP lattice with a cell edge of 0.4518 nm
We need to find the molar mass of copper complex.

A copper complex's density is equal to= 7.62gcm−3, NA= 6.022×1023 mol−1,a=0.4518 nm, Z=4
Knowing the d = Z×Ma×NA
fcc structure of the CCP lattice:
Atoms are present at the corners and face centres of a fcc unit cell:
Quantity of atoms in a single cell is 8×18+6×12=4
7.62=4×M0.4518×10-73×6.022×1023=M = 105.8  106 g/mol

Therefore the correct answer is 106 

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