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Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - NEET MCQ


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5 Questions MCQ Test Chemistry Class 12 - Test: Calculations Involving Unit Cell Dimensions (Old NCERT)

Test: Calculations Involving Unit Cell Dimensions (Old NCERT) for NEET 2024 is part of Chemistry Class 12 preparation. The Test: Calculations Involving Unit Cell Dimensions (Old NCERT) questions and answers have been prepared according to the NEET exam syllabus.The Test: Calculations Involving Unit Cell Dimensions (Old NCERT) MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Calculations Involving Unit Cell Dimensions (Old NCERT) below.
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Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 1

An element cyrstallises in a structure having a fcc unit cell of and edge 200 pm. Calculate its density if 200 g of this element contains 24 x 1023 atoms.

Detailed Solution for Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 1

Molar mass = 
= 50.19gmol−1 for fcc,  Z = 4, V = a3 =(200×10−10)3 
d = 
= 41.66g cm3

Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 2

A unit cell of sodium chloride has four formula units. The edge length of the unit cell is 0.564 nm. What is the density of sodium chloride?

Detailed Solution for Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 2

d = 
= 2.16 gcm−3

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Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 3

The distance between Na+ and CI- ions in NaCl with a density 3.165 g cm-3 is

Detailed Solution for Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 3



a3 = 122.77 × 10−24cm3
a = 4.97 × 10−8 cm or 497 pm
Distance between Na+ and Cl = a/2
= 497/2
= 248.5 pm

Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 4

The unit cell of aluminium is a cube with an edge length of 405 pm. The density of aluminium is 2.70 g cm-3. What is the structure of unit cell of aluminium?

Detailed Solution for Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 4


⇒ 2.70 = 
Z = 4
Hence, structure of aluminium unit cell is fcc or face- centred.

Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 5

The density of a metal which crystallises in bcc lattice with unit cell edge length 300 pm and molar mass 50 g mol-1 will be

Detailed Solution for Test: Calculations Involving Unit Cell Dimensions (Old NCERT) - Question 5


For bcc structure, Z = 2
d = 
= 6.15 g cm-3

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