Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic. (a) Which crystalline form of solid X has maximum density is to be identified. (b) Which crystalline form of solid X has the more empty space has to be identified. Concept introduction: Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic. Simple cubic unit cell: The unit cell in which lattice points are located only at corners. Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure. Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

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Answer 1

Question

Chapter 11, Problem 11.35QP

(a)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

(b)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

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Answer 2

Question

Chapter 11, Problem 11.35QP

(a)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

(b)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

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Answer 3

Question

Chapter 11, Problem 11.35QP

(a)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

(b)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

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Answer 4

Question

Chapter 11, Problem 11.35QP

(a)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

(b)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

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Answer 5

Chapter 11, Problem 11.35QP

(a)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

(b)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

Answer 6

Chapter 11, Problem 11.35QP

(a)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

Answer 7

Chapter 11, Problem 11.35QP

(a)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

Answer 8

(b)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

Answer 9

(b)

Interpretation Introduction

Interpretation:

Hypothetical element X forms a solid, it could crystalizes in three ways. The unit cell being either simple cubic, face centered cubic or body centered cubic.

(a) Which crystalline form of solid X has maximum density is to be identified.

(b) Which crystalline form of solid X has the more empty space has to be identified.

Concept introduction:

Unit cell: A simplest repeating unit in the crystal structure. Every unit cell is described in terms of lattice point. Example for unit cell: cubic, monoclinic, tetragonal, orthorhombic, rhombohedral, hexagonal and triclinic.

Simple cubic unit cell: The unit cell in which lattice points are located only at corners.

Body centred cubic unit cell: The simplest repeating unit in the centre of the cubic structure.

Face centred cubic unit cell: The identical particles present in the eight corners of the u it cell. But this structure contains same particle in the six centres of the faces.

Answer 10

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Answer 11

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Answer 12

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Answer 13

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Solution Summary: The author explains that Hypothetical element X forms a solid, it could crystalize in three ways.

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