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An element with molar mass 2.7×10-2 kg mol-1 forms a cubic unit cell with edge length 405 pm. If its density is 2.7×103 kg m-3, what is the nature of the cubic unit cell?
question : An element with molar mass 2.7×10-2 kg mol-1 forms a cubic unit cell with edge length 405 pm. If its density is 2.7×103 kg m-3, what is the nature of the cubic unit cell ?
Key points to answer this question :
First of all we need to calculate the number of atoms present in the unit cell (Z) =
Then find the type of the cubic unit cell on the based of number of Z , as follows –
If Z = 1 then This will simple cell (SC)
If Z = 2 then This will Body-centered cubic (BCC)
If Z = 4 then This will be Face-centred Cubic Unit Cell (FCC)
solution : given data –
Molar mass of the given element , M = 2.7×10-2 kg mol-1
Edge length of given cubic unit cell , a = 405 pm
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