A metal has density of 4500 kg/m3 with an fcc crystal structure and edge length is 400 pm. The number of unit cells present in 1 kg of the metal is n × 1024. Value of n is ________. (upto two decimal place)

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answer is 3.47.

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Detailed Solution

Volume available =1kg4500kg/m3=14500m3 Vol. of a unit cell =400×10−123m3 No. of unit cell =14500×400×10−123=3.47×1024

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