A metal has a fcc lattice. The edge length of the cell is 404 pm. The density of the metal is 2.72gcm−3 . The molar mass of the metal is (NA Avogadro's constant = 6.02×1023mol−1)
A
27gmol−1
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B
20gmol−1
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C
40gmol−1
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D
30gmol−1
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Solution
The correct option is A
27gmol−1
M =d.a3.NAZ =2.72×[4.4×10−10]3×6.02×10234=26.9gmol−1≈27gmol−1