An element with molar mass 2 .7 × 10 − 2 kg mol − 1 forms a cubic unit cell with edge length 405 pm . If its density is 2 . 7 × 10 3 kg m - 3 , the radius of the element is approximately … … … . × 10 - 12 m (to the nearest integer)

Question

An element with molar mass 2 .7 × 10 − 2 kg mol − 1 forms a cubic unit cell with edge length 405 pm . If its density is 2 . 7 × 10 3 kg m - 3 , the radius of the element is approximately … … … . × 10 - 12 m (to the nearest integer),

MARKS App · Accepted Answer

Density = Z × M N a × Volume d = Z × 27 6 . 02 × 10 23 × 4 . 05 × 10 - 3 3 2 . 7 = Z × 27 6 . 02 × 10 23 × 4 . 05 × 10 - 3 3 Z =4 ⇒ fcc unit cell For fcc unit cell 4 r = 2 a r = 1 . 414 × 405 4 = 143 . 1675 pm = 143 . 17 pm

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