Chemistry Exam > Chemistry Questions > Atoms having radius 1.50 Å are arranged in a ...
Start Learning for Free
Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this?
Most Upvoted Answer
Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Rad...
Solution:
Concept: The largest atom that can be placed at the body centre of a cubic cell is the one whose diameter is equal to the length of the unit cell.
Given: Radius of atoms = 1.50 Å, Lattice type = Simple cubic
To find: Radius of the largest atom that can be placed at the body centre
Solution:
Step 1: Calculate the edge length of the simple cubic unit cell
The atoms are arranged in a simple cubic lattice. In a simple cubic lattice, the atoms are present only at the corners of the cube.
Therefore, the distance between two neighbouring atoms along an edge of the cube will be equal to twice the radius of an atom.
Hence, the edge length of the cube = 2 × radius of an atom = 2 × 1.50 Å = 3.00 Å
Step 2: Calculate the length of the body diagonal of the cube
In a simple cubic lattice, the body diagonal of the cube is equal to the square root of 3 times the edge length of the cube.
Hence, the length of the body diagonal of the cube = √3 × edge length of the cube
= √3 × 3.00 Å = 5.20 Å
Step 3: Calculate the radius of the largest atom that can be placed at the body centre
The largest atom that can be placed at the body centre of the cube is the one whose diameter is equal to the length of the body diagonal of the cube.
Hence, the radius of the largest atom = 1/2 of the length of the body diagonal of the cube
= 1/2 × 5.20 Å = 2.60 Å
However, the radius of the largest atom cannot be greater than the radius of the atoms present at the corners of the cube, which is 1.50 Å.
Therefore, the maximum radius of the atom that can be placed at the body centre of the cube = radius of the atoms at the corners of the cube - radius of the largest atom
= 1.50 Å - 2.60 Å = -1.10 Å
Since the radius cannot be negative, we take the absolute value of -1.10 Å, which is 1.10 Å.
Hence, the radius of the largest atom that can be placed at the body centre of the simple cubic unit cell is 1.10 Å (option b).
Concept: The largest atom that can be placed at the body centre of a cubic cell is the one whose diameter is equal to the length of the unit cell.
Given: Radius of atoms = 1.50 Å, Lattice type = Simple cubic
To find: Radius of the largest atom that can be placed at the body centre
Solution:
Step 1: Calculate the edge length of the simple cubic unit cell
The atoms are arranged in a simple cubic lattice. In a simple cubic lattice, the atoms are present only at the corners of the cube.
Therefore, the distance between two neighbouring atoms along an edge of the cube will be equal to twice the radius of an atom.
Hence, the edge length of the cube = 2 × radius of an atom = 2 × 1.50 Å = 3.00 Å
Step 2: Calculate the length of the body diagonal of the cube
In a simple cubic lattice, the body diagonal of the cube is equal to the square root of 3 times the edge length of the cube.
Hence, the length of the body diagonal of the cube = √3 × edge length of the cube
= √3 × 3.00 Å = 5.20 Å
Step 3: Calculate the radius of the largest atom that can be placed at the body centre
The largest atom that can be placed at the body centre of the cube is the one whose diameter is equal to the length of the body diagonal of the cube.
Hence, the radius of the largest atom = 1/2 of the length of the body diagonal of the cube
= 1/2 × 5.20 Å = 2.60 Å
However, the radius of the largest atom cannot be greater than the radius of the atoms present at the corners of the cube, which is 1.50 Å.
Therefore, the maximum radius of the atom that can be placed at the body centre of the cube = radius of the atoms at the corners of the cube - radius of the largest atom
= 1.50 Å - 2.60 Å = -1.10 Å
Since the radius cannot be negative, we take the absolute value of -1.10 Å, which is 1.10 Å.
Hence, the radius of the largest atom that can be placed at the body centre of the simple cubic unit cell is 1.10 Å (option b).
Community Answer
Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Rad...
B
|
Explore Courses for Chemistry exam
|
|
Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this?
Question Description
Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this?.
Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this?.
Solutions for Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? in English & in Hindi are available as part of our courses for Chemistry.
Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? defined & explained in the simplest way possible. Besides giving the explanation of
Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this?, a detailed solution for Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? has been provided alongside types of Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? theory, EduRev gives you an
ample number of questions to practice Atoms having radius 1.50 Å are arranged in a simple cubic lattice. Radius of the largest atom that can be placed at the body centre of the cubic cell, without affecting the unit size is a) 0.75 b) 1.10 c) 1.35 d) 1.50 Ans is option b How to do this? tests, examples and also practice Chemistry tests.
|
|
Explore Courses for Chemistry exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup