MP DTE Packing Efficiency — practice questions

Explore 2 free Packing Efficiency questions in MP DTE Chemistry. Open each question or exercise to read its content, reference answers and available explanation.

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Packing Efficiency questions and exercises with answers

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**Packing efficiency** of fcc (and hcp) close-packed structures is:Read the answer and worked solution →Packing efficiency of a simple cubic (sc) structure is:Read the answer and worked solution →

Worked practice questions

Packing efficiency of fcc (and hcp) close-packed structures is:

52.4%
68.0%
74.0%
100%

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Correct answer: C. 74.0%

Close-packed structures (fcc, hcp): 74% packing efficiency — highest possible for identical spheres. bcc = 68%, simple cubic = 52.4%.

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Packing efficiency of a simple cubic (sc) structure is:

52.4%
68%
74%
100%

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Correct answer: A. 52.4%

Sc has 1 sphere per unit cell of edge $a = 2r$. Volume of sphere = $(4/3)\pi r^3$; volume of cube = $a^3 = 8r^3$. Packing efficiency = $((4/3)\pi r^3)/8r^3 = \pi/6 \approx 52.4\%$. Least efficient — Po is the only element with sc structure.