An element exists as hexagonal close packed structure as well as cubic...
The packing efficiency of both hcp and ccp is aprrox. same i.e. 74%. This means there is same mass for given same volume for both packing and hence density will be same for both packing, given the element is same.
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An element exists as hexagonal close packed structure as well as cubic...
Density of Element in HCP and CCP Structures
Introduction:
The density of an element is defined as the mass per unit volume. The crystal structure of an element is one of the factors that determine its density. In this question, we are asked to determine which crystal structure of an element, either HCP or CCP, would result in a higher density.
HCP and CCP Structures:
HCP and CCP are two common crystal structures found in metals and metalloids. In an HCP structure, the atoms are arranged in a hexagonal pattern with close packing. In a CCP structure, the atoms are arranged in a cubic pattern with close packing. Both structures have the same close packing efficiency, which means that they have the same number of atoms per unit volume.
Density of HCP and CCP:
Since both structures have the same close packing efficiency, they would have the same number of atoms per unit volume. Therefore, the density of the element in both structures would be the same. This is the reason why the correct answer is option 'C', which states that the density is the same in both structures.
Conclusion:
The crystal structure of an element is one of the factors that determine its density. In the case of an element that exists in both HCP and CCP structures, the density would be the same in both structures since they have the same close packing efficiency.
An element exists as hexagonal close packed structure as well as cubic...
In ccp and hcp both case packing fraction is same so density also