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The radius of silver atom is 143.5 pm and it crystallises in face centred cubic arrangement. (Atomic mass of Ag = 107.47, NA = 6.023 × 1023) What is the edge length of the unit cell? - Chemistry (Theory)

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Question

The radius of silver atom is 143.5 pm and it crystallises in face centred cubic arrangement. (Atomic mass of Ag = 107.47, NA = 6.023 × 1023)

What is the edge length of the unit cell?

Options

  • 405.8 pm

  • 40.6 pm

  • 331.4 pm

  • 287 pm

MCQ
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Solution

405.8 pm

Explanation:

Given: Radius of silver atom (r) = 143.5 pm

Face-centred cubic (fcc) Structure,

`a = (4 r)/sqrt 2`

∴ `a = (4 xx 143.5)/sqrt 2`

= `574/1.414`

= 405.8 pm

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Chapter 1: Solid State - QUESTIONS FROM ISC EXAMINATION PAPERS [Page 57]

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Nootan Chemistry Part 1 and 2 [English] Class 12 ISC
Chapter 1 Solid State
QUESTIONS FROM ISC EXAMINATION PAPERS | Q 35. (vi) 1. | Page 57
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