pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
relevant information about the risks, benefits, and alternatives to a medical treatment or procedure, allowin
make informed decisions.However, challenges arise when patients are not fully capable of making informed
(e.g., due to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding wh
party (e.g., a parent or guardian) should make the
Solution Manual For
“Class 13 Chemistry Complete Step-by-Step Notes, Solved Examples & Chapter-wise Q/A
Chapter 1-10
Prepared by: Areeba
Suitable for: Students, Stuvia Upload
Chapter 1: Solid State
1.1 Introduction
Solid state chemistry ka study un solids ke structure, properties aur bonding ke baare me hota hai jo definite
shape aur volume rakhte hain. Solids ke particles tightly packed hote hain, isliye inka compressibility low aur
density high hoti hai.
1.2 Classification of Solids
A. Based on Particle Arrangement:
1. Crystalline Solids: Particles are arranged in a definite, repeating 3D pattern. Examples: NaCl, diamon
graphite.
2. Amorphous Solids: Particles have no long-range order. Examples: Glass, rubber, plastic.
B. Based on Bonding Type:
1. Ionic Solids: Held by ionic bonds, high melting point, brittle. Example: NaCl.
2. Covalent/Network Solids: Held by covalent bonds, very hard, high melting point. Example: Diamon
SiO₂.
3. Metallic Solids: Held by metallic bonds, conduct electricity. Example: Fe, Cu.
4. Molecular Solids: Held by intermolecular forces (van der Waals), low melting point. Example: Ice, I₂
,1.3 Crystal Lattice and Unit Cell
Definitions:
Crystal Lattice: 3D arrangement of particles in a crystalline solid.
Unit Cell: Smallest repeating structural unit of a crystal.
Types of Unit Cells (Cubic System):
1. Simple Cubic (SC): 1 atom/unit cell, coordination number = 6
2. Body-Centered Cubic (BCC): 2 atoms/unit cell, coordination number = 8
3. Face-Centered Cubic (FCC): 4 atoms/unit cell, coordination number = 12
Relationship between edge length (a) and radius (r):
SC: a=2ra = 2ra=2r
BCC: a=4r3a = \frac{4r}{\sqrt{3}}a=34r
FCC: a=4r2a = \frac{4r}{\sqrt{2}}a=24r
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
relevant information about the risks, benefits, and alternatives to a medical treatment or procedure, allowin
make informed decisions.However, challenges arise when patients are not fully capable of making informed
(e.g., due to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding wh
party (e.g., a parent or guardian) should make the
Density of Unit Cell:
ρ=Z⋅Ma3⋅NA\rho = \frac{Z \cdot M}{a^3 \cdot N_A}ρ=a3⋅NAZ⋅M
Where:
ZZZ = number of atoms/unit cell
MMM = molar mass
aaa = edge length
NAN_ANA = Avogadro’s number
1.4 Packing Efficiency
Packing efficiency = Fraction of volume occupied by atoms in a unit cell × 100
, SC: 52.4%
BCC: 68%
FCC: 74%
1.5 Imperfections in Solids
Types of Defects:
1. Point Defects: Vacancies, Interstitials, Substitutional
2. Line Defects: Dislocations
3. Surface Defects: Grain boundaries
Effect on properties:
Alters density, conductivity, color, mechanical strength
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
relevant information about the risks, benefits, and alternatives to a medical treatment or procedure, allowin
make informed decisions.However, challenges arise when patients are not fully capable of making informed
(e.g., due to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding wh
party (e.g., a parent or guardian) should make the
1.6 Electrical and Magnetic Properties
Ionic solids generally do not conduct electricity in solid state but do in molten/aqueous state.
Metals conduct due to delocalized electrons.
Paramagnetic and diamagnetic behavior depends on unpaired electrons.
1.7 Solved Examples
Example 1: Density of FCC unit cell
Q: Edge length of FCC unit cell = 4 × 10⁻⁸ cm, molar mass = 63.5 g/mol, Z = 4. Find density.
Solution:
ρ=Z⋅Ma3⋅NA=4⋅63.5(4×10−8)3⋅6.022×1023=8.9 g/cm3\rho = \frac{Z \cdot M}{a^3 \cdot N_A} = \frac{4 \c
63.5}{(4\times10^{-8})^3 \cdot 6.022 \times 10^{23}} = 8.9\ g/cm^3ρ=a3⋅NAZ⋅M
=(4×10−8)3⋅6.022×10234⋅63.5=8.9 g/cm3
, Example 2: Radius from BCC unit cell
Q: Edge length of BCC = 3.2 × 10⁻⁸ cm. Find atomic radius.
Solution:
a=4r3 ⟹ r=a34=3.2×10−8⋅1.7324=1.386×10−8 cma = \frac{4r}{\sqrt{3}} \implies r = \frac{a \sqrt{3}}{4}
\frac{3.2 \times 10^{-8} \cdot 1.732}{4} = 1.386 \times 10^{-8}\ cma=34r⟹r=4a3=43.2×10−8⋅1.732
=1.386×10−8 cm
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
information about the risks, benefits, and alternatives to a medical treatment or procedure, allowing patien
informed decisions.However, challenges arise when patients are not fully capable of making informed decisi
to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding whether a th
a parent or guardian) should make the
1.8 Chapter-wise Questions & Answers
Q1: Define crystal lattice and unit cell.
A: Crystal lattice is the 3D arrangement of particles in a crystalline solid. Unit cell is the smallest repeating u
of a crystal lattice.
Q2: Classify solids based on bonding.
A:
Ionic, Covalent, Metallic, Molecular solids
Q3: What is packing efficiency?
A: Fraction of space occupied by atoms in unit cell × 100.
Q4: Differentiate SC, BCC, FCC.
A:
Type Atoms/Unit Cell Coordination No Packing Efficiency Example
SC 1 6 52.4% Polonium
BCC 2 8 68% Na, K
FCC 4 12 74% Cu, Al
Q5: Explain point defects.
A: Vacancies, interstitials, substitutional defects affect properties like density, conductivity, color.
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
relevant information about the risks, benefits, and alternatives to a medical treatment or procedure, allowin
make informed decisions.However, challenges arise when patients are not fully capable of making informed
(e.g., due to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding wh
party (e.g., a parent or guardian) should make the
Solution Manual For
“Class 13 Chemistry Complete Step-by-Step Notes, Solved Examples & Chapter-wise Q/A
Chapter 1-10
Prepared by: Areeba
Suitable for: Students, Stuvia Upload
Chapter 1: Solid State
1.1 Introduction
Solid state chemistry ka study un solids ke structure, properties aur bonding ke baare me hota hai jo definite
shape aur volume rakhte hain. Solids ke particles tightly packed hote hain, isliye inka compressibility low aur
density high hoti hai.
1.2 Classification of Solids
A. Based on Particle Arrangement:
1. Crystalline Solids: Particles are arranged in a definite, repeating 3D pattern. Examples: NaCl, diamon
graphite.
2. Amorphous Solids: Particles have no long-range order. Examples: Glass, rubber, plastic.
B. Based on Bonding Type:
1. Ionic Solids: Held by ionic bonds, high melting point, brittle. Example: NaCl.
2. Covalent/Network Solids: Held by covalent bonds, very hard, high melting point. Example: Diamon
SiO₂.
3. Metallic Solids: Held by metallic bonds, conduct electricity. Example: Fe, Cu.
4. Molecular Solids: Held by intermolecular forces (van der Waals), low melting point. Example: Ice, I₂
,1.3 Crystal Lattice and Unit Cell
Definitions:
Crystal Lattice: 3D arrangement of particles in a crystalline solid.
Unit Cell: Smallest repeating structural unit of a crystal.
Types of Unit Cells (Cubic System):
1. Simple Cubic (SC): 1 atom/unit cell, coordination number = 6
2. Body-Centered Cubic (BCC): 2 atoms/unit cell, coordination number = 8
3. Face-Centered Cubic (FCC): 4 atoms/unit cell, coordination number = 12
Relationship between edge length (a) and radius (r):
SC: a=2ra = 2ra=2r
BCC: a=4r3a = \frac{4r}{\sqrt{3}}a=34r
FCC: a=4r2a = \frac{4r}{\sqrt{2}}a=24r
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
relevant information about the risks, benefits, and alternatives to a medical treatment or procedure, allowin
make informed decisions.However, challenges arise when patients are not fully capable of making informed
(e.g., due to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding wh
party (e.g., a parent or guardian) should make the
Density of Unit Cell:
ρ=Z⋅Ma3⋅NA\rho = \frac{Z \cdot M}{a^3 \cdot N_A}ρ=a3⋅NAZ⋅M
Where:
ZZZ = number of atoms/unit cell
MMM = molar mass
aaa = edge length
NAN_ANA = Avogadro’s number
1.4 Packing Efficiency
Packing efficiency = Fraction of volume occupied by atoms in a unit cell × 100
, SC: 52.4%
BCC: 68%
FCC: 74%
1.5 Imperfections in Solids
Types of Defects:
1. Point Defects: Vacancies, Interstitials, Substitutional
2. Line Defects: Dislocations
3. Surface Defects: Grain boundaries
Effect on properties:
Alters density, conductivity, color, mechanical strength
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
relevant information about the risks, benefits, and alternatives to a medical treatment or procedure, allowin
make informed decisions.However, challenges arise when patients are not fully capable of making informed
(e.g., due to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding wh
party (e.g., a parent or guardian) should make the
1.6 Electrical and Magnetic Properties
Ionic solids generally do not conduct electricity in solid state but do in molten/aqueous state.
Metals conduct due to delocalized electrons.
Paramagnetic and diamagnetic behavior depends on unpaired electrons.
1.7 Solved Examples
Example 1: Density of FCC unit cell
Q: Edge length of FCC unit cell = 4 × 10⁻⁸ cm, molar mass = 63.5 g/mol, Z = 4. Find density.
Solution:
ρ=Z⋅Ma3⋅NA=4⋅63.5(4×10−8)3⋅6.022×1023=8.9 g/cm3\rho = \frac{Z \cdot M}{a^3 \cdot N_A} = \frac{4 \c
63.5}{(4\times10^{-8})^3 \cdot 6.022 \times 10^{23}} = 8.9\ g/cm^3ρ=a3⋅NAZ⋅M
=(4×10−8)3⋅6.022×10234⋅63.5=8.9 g/cm3
, Example 2: Radius from BCC unit cell
Q: Edge length of BCC = 3.2 × 10⁻⁸ cm. Find atomic radius.
Solution:
a=4r3 ⟹ r=a34=3.2×10−8⋅1.7324=1.386×10−8 cma = \frac{4r}{\sqrt{3}} \implies r = \frac{a \sqrt{3}}{4}
\frac{3.2 \times 10^{-8} \cdot 1.732}{4} = 1.386 \times 10^{-8}\ cma=34r⟹r=4a3=43.2×10−8⋅1.732
=1.386×10−8 cm
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
**Patient Autonomy and Informed Consent**One of the fundamental ethical principles in healthcare is resp
autonomy—the right of patients to make decisions about their own bodies and medical treatments. This pri
enshrined in the legal concept of informed consent. Informed consent requires healthcare providers to discl
information about the risks, benefits, and alternatives to a medical treatment or procedure, allowing patien
informed decisions.However, challenges arise when patients are not fully capable of making informed decisi
to age, mental illness, or language barriers). In such cases, ethical dilemmas can arise regarding whether a th
a parent or guardian) should make the
1.8 Chapter-wise Questions & Answers
Q1: Define crystal lattice and unit cell.
A: Crystal lattice is the 3D arrangement of particles in a crystalline solid. Unit cell is the smallest repeating u
of a crystal lattice.
Q2: Classify solids based on bonding.
A:
Ionic, Covalent, Metallic, Molecular solids
Q3: What is packing efficiency?
A: Fraction of space occupied by atoms in unit cell × 100.
Q4: Differentiate SC, BCC, FCC.
A:
Type Atoms/Unit Cell Coordination No Packing Efficiency Example
SC 1 6 52.4% Polonium
BCC 2 8 68% Na, K
FCC 4 12 74% Cu, Al
Q5: Explain point defects.
A: Vacancies, interstitials, substitutional defects affect properties like density, conductivity, color.
pronounced. Medical professionals regularly face situations that require them to make complex decisions th
have life-altering consequences for patients but also raise profound moral questions. These issues include:#
