KVPY SX SB Exam 19-Nov-2017 Question Paper

Question : 109 of 120

Marks: +1, -0

Polonium (atomic mass = 209) crystallizes in a simple cubic structure with a density of 9.32 g cm

^{–3}

. Its lattice parameter (in pm) is closest to

Solution:

d ={N× M}/{ N _A×a^3}

9.32 ={1 ×209}/{6.023 ×10^23× a^3}

∴

a3 = 37.2 × 10^{–24}S

a = 3.33 × 10^{–8}

cm
≅ 334 pm

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