Calculate molar mass of an element having density 8.6 g ,cm^ -3 if it forms bcc structure [a^ 3 N_A = 22.0 cm^ 3 ,mol^ -1 ]

MHT CET 2024 Chemistry question

Not in JEE Main or NEET syllabus

Calculate molar mass of an element having density if it forms bcc structure

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Density of a cubic crystal is . A bcc unit cell has atoms. Rearranging, \dfrac{ρ a^{3} N_A}{Z}\dfrac{8.6\ \mathrm{g cm^{-3}} × 22.0\ \mathrm{cm^{3} mol^{-1}}}{2}\dfrac{189.2}{2}$ =

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Question ID VK-093367