Question

The densities of the elements K, Ca, Sc, and Ti are 0.86, 1.5, 3.2, and 4.5 g/cm³, respectively. One of these elements crystallizes in a body-centered cubic structure; the other three crystallize in a face-centered cubic structure.
Which one crysta llizes in the body-centered cubic structure? Justify your answer

Answer 1

Answer:

K

Explanation:

Given that

Elements                                    Density

K                                                  0.86 g/cm³

Ca                                                 1.5 g/cm³

Sc                                                  3.2 g/cm³

Ti                                                    4.5 g/cm³

As we know that density of the BCC ( body centered cubic )element is lower than the FCC(Face centered cubic )element.

In the given problem only K have lower density all of these element that is why is in BCC and all others are in FCC.

The packing efficiency of the FCC structure element is higher than the BCC element that is why FCC is more denser than BCC.And also FCC having good packing of element.

Answer 2

The element that crystallizes in the body-centered cubic structure is:

K

What information we have:

Elements   Density

K                  0.86 g/cm³

Ca                1.5 g/cm³

Sc                 3.2 g/cm³

Ti                  4.5 g/cm³

Body centered cubic arrangement:

The density of the BCC ( body centered cubic )element is lower than the FCC(Face centered cubic )element.

In the given problem only K have lower density all of these element thus in BCC and all others are in FCC.

The packing efficiency of the FCC structure element is higher than the BCC element thus FCC is more denser than BCC and also FCC having good packing of element.

Find more information about Body centered cubic arrangement here:

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