Solid-State and Surface Chemistry Previous Year Questions with Solutions
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Solid-State and Surface Chemistry Previous Year Questions with Solutions
Solid-State and Surface Chemistry is a crucial branch of chemistry that explores the physical and chemical properties of solids and the interactions occurring at their surfaces. Mastering Solid-State and Surface Chemistry helps in understanding material science, nanotechnology, and catalysis, making it an essential topic for both academic excellence and real-world applications
Practicing past year questions on Solid-State and Surface Chemistry is essential for students preparing for JEE Main and JEE Advanced. This topic consistently appears in the exams, with 1–2 questions typically asked every year in JEE Main and occasional conceptual or application-based questions in JEE Advanced. Regular practice with past questions ensures better conceptual clarity and boosts exam confidence, making it a vital part of your JEE preparation strategy.
JEE Main Previous Year Solved Questions on Solid-State and Surface Chemistry
JEE Adv Previous Year Solved Questions on Solid-State
JEE Adv Previous Year Solved Questions on Surface Chemistry
1.0Introduction to Solids
Solids: Substances with definite shape and volume.
Properties: a. Strong intermolecular forces. b. Incompressible and rigid. c. Particles are closely packed.
2.0Classification of Solids
Type of Solid
Constituent Particles
Bonding Type
Examples
Molecular Solids
Molecules
van der Waals, H-bond
Ice, CO₂, I₂
Ionic Solids
Ions
Electrostatic forces
NaCl, KBr, ZnS
Metallic Solids
Positive ions in sea of electrons
Metallic bonding
Fe, Cu, Ag
Covalent/Network Solids
Atoms
Covalent bonds
Diamond, SiO₂, Graphite
3.0Amorphous vs Crystalline Solids
Property
Crystalline Solid
Amorphous Solid
Shape
Definite geometric
Irregular
Melting Point
Sharp
Gradual
Long-range Order
Present
Absent
Examples
NaCl, Quartz
Glass, Plastic
Crystal Lattices and Unit Cells
Crystal Lattice: 3D arrangement of points showing positions of atoms/ions/molecules.
Unit Cell: Smallest repeating unit of the lattice.
4.0Types of Unit Cells (by Axes and Angles)
Crystal System
Axes
Angles
Example
Cubic
a = b = c
α = β = γ = 90°
NaCl, Cu
Tetragonal
a = b ≠ c
α = β = γ = 90°
White Sn
Orthorhombic
a ≠ b ≠ c
α = β = γ = 90°
Sulphur
Monoclinic
a ≠ b ≠ c
α = γ = 90° ≠ β
Gypsum
Triclinic
a ≠ b ≠ c
α ≠ β ≠ γ ≠ 90°
K₂Cr₂O₇
Hexagonal
a = b ≠ c
α = β = 90°, γ = 120°
Graphite
Rhombohedral
a = b = c
α = β = γ ≠ 90°
Calcite
Number of Atoms in Unit Cells
Type of Unit Cell
Atoms per Unit Cell
Simple Cubic (SC)
1
Body-Centred Cubic (BCC)
2
Face-Centred Cubic (FCC)
4
Formula Used:
Corner atom: 1881
Face atom: 1221
Body-centred atom: 1
Packing Efficiency
Packing Efficiency = Total volume of unit cellVolume occupied by spheres×100
3D Packing: Hexagonal Close Packing (hcp) – ABAB… (Mg, Zn) Cubic Close Packing (ccp) – ABCABC… (Cu, Ag) Tetrahedral Voids: Surrounded by 4 spheres. Octahedral Voids: Surrounded by 6 spheres.
Number of voids:
Tetrahedral = 2 × number of atoms
Octahedral = same as number of atoms
Density of a Unit Cell
Density (d)=a3×NAZ×M
Where:
Z = Number of atoms per unit cell
M = Molar mass
a = Edge length in cm
NA = Avogadro’s number
5.0Imperfections in Solids
Point Defects:
Type
Description
Stoichiometric
No change in ratio or neutrality.
- Vacancy
Missing atoms
- Interstitial
Extra atom in void
Non-Stoichiometric
Change in ratio
- Metal excess
Extra cations/electrons (ZnO turns yellow)
- Metal deficiency
Missing cations (FeO)
Impurity Defect
Different atoms occupy sites
Electrical Properties
Solid Type
Electrical Conductivity
Mechanism
Conductors
High
Free electrons (metals)
Semiconductors
Moderate
Band gap (Si, Ge)
Insulators
Very low
Large band gap
Doping increases conductivity:
n-type: Extra electrons (P in Si)
p-type: Positive holes (B in Si)
Magnetic Properties
Type
Magnetic Behavior
Example
Paramagnetic
Weakly attracted, unpaired electrons
O₂
Diamagnetic
Weakly repelled, no unpaired electrons
NaCl, H₂O
Ferromagnetic
Strongly attracted, permanent magnetism
Fe, Co, Ni
Antiferromagnetic
Opposing spins cancel out
MnO
Ferrimagnetic
Opposing spins don’t fully cancel
Fe₃O₄, MgFe₂O₄
6.0Surface Chemistry
Surface Chemistry deals with chemical processes at interfaces like solid-liquid, solid-gas, and liquid-gas. Since gases are completely miscible, no interface exists between them. For accurate studies, surfaces must be ultra-clean, often requiring a vacuum of 10⁻⁸–10⁻⁹ Pa to prevent contamination from air.
This field is vital for developing new materials, catalysts, corrosion resistance, and improved industrial processes.
Key Concepts
Adsorption
Accumulation of molecules (adsorbate) on a surface (adsorbent).
Surface phenomenon.
Examples: charcoal, silica gel, alumina.
Absorption
Uniform distribution of a substance throughout the bulk.
Sorption
Combined adsorption and absorption (e.g., dye on cotton).
Adsorption vs Absorption
Characteristic
Adsorption
Absorption
Distribution
Only on surface
Uniform throughout
Penetration
No
Yes
Example 1
Ink on chalk surface
Ink solvent in chalk
Example 2
Silica gel & water vapour
CaCl₂ & water vapour
Concentration
High at surface
Uniform throughout
Appearance
White inside (ink on chalk)
Not applicable
Mechanism of Adsorption
Caused by unbalanced forces at the surface.
Exothermic (∆H < 0), entropy decreases (∆S < 0).
Spontaneous when ∆G = ∆H – T∆S < 0.
Higher surface area → greater adsorption.
Types of Adsorption
Physisorption: Weak van der Waals’ forces.
Chemisorption: Strong chemical bonds (covalent/ionic).
Adsorption Isotherms
Show relation between gas pressure and amount adsorbed at constant temperature.
Q.5 Which of the following represent the Freundlich adsorption isotherms?
Choose the correct answer from the options given below:
A)
B)
C)
D)
(1) B, C, D only
(2) A, B, D only
(3) A, B only
(4) A, C, D only
Ans. (3)
Solution
mx=kp1/nandlogmx=logk+n1logp
Q.6 The enthalpy change for the adsorption process and micelle formation respectively are
(1) ΔHads< 0 and ΔHmic >0
(2) ΔHads< 0 and ΔHmic < 0
(3) ΔHads>0 and ΔHmic < 0
(4) ΔHads>0 and ΔHmic >0
Ans. (1)
Solution:
Adsorption is exothermic process due to decrease in surface energy. Energy is released when molecules adhere to a surface
Micelle formation is an endothermic process. Energy is required to overcome the repulsion between the hydrophobic tails of the surfactant molecules as they aggregate to form micelles.
Q.7 Ionic radii of cation A+ and anion B- are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for B‑. A+ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is _____ pm. (Nearest Integer)
Ans. (512)
Solution:
a = 2(r+ + r–)
a = 2 (102 + 181)
a = 2(283);
a = 566 pm
Q.8 A 42.12% (w/v) solution of NaCl causes precipitation of a certain sol in 10 hours. The coagulating value of NaCl for the sol is
[Given : Molar mass : Na = 23.0 g mol–1; Cl = 35.5 g mol–1]
(1) 36 mmol L–1
(2) 36 mol L–1
(3) 1440 mol L–1
(4) 1440 mmol L–1
Ans. (4)
coagulation value=Volume of solution in LMillimoles of electrolyteMolarity of NaCl=M.Wt%(w/v)×10Molarity of NaCl=58.542.12×10=7.2MMillimoles of NaCl electrolyte=7200Coagulation value for 10 hours=Volume of solution in LMillimoles of electrolyte=7200For 2 hours coagulation value=107200×2=1440millimoles/L
Q.9 The distance between Na+ and Cl– ions in solid NaCl of density 43.1 g cm–3 is ____ × 10–10m. (Nearest Integer) (Given : NA = 6.02 × 1023 mol–1)
Ans. (1)
Solution .
Mass per unit cell=NAZ×M.M g=NA4×58.5 gdunit cell=Vm=a3m⇒NA⋅a34×58.5=43.1⇒a3=9.02×10−24 cm3⇒a=2.08×10−8 cm⇒a=2.08×10−10 ma=2(rNa++rCl−)⇒rNa++rCl−=1.04×10−10 m
Q.10 A certain element crystallises in a bcc lattice of unit cell edge length 27 Å. If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cell in Å will be ________. (Round off to the Nearest Integer).
[Assume each lattice point has a single atom] [Assume3 = 1.73, 2 = 1.41]
Ans. [Assume each lattice point has a single atom][Assume 3=1.73,2=1.41]Ans.For BCC3=4r⇒r=43×27For FCCa=2r=2×43×27=43×27=33
Table of Contents
1.0Introduction to Solids
2.0Classification of Solids
3.0Amorphous vs Crystalline Solids
3.1Crystal Lattices and Unit Cells
4.0Types of Unit Cells (by Axes and Angles)
4.1Number of Atoms in Unit Cells
4.2Packing Efficiency
4.3Density of a Unit Cell
5.0Imperfections in Solids
5.1Electrical Properties
5.2Magnetic Properties
6.0Surface Chemistry
6.1Adsorption
6.2Adsorption vs Absorption
6.3Mechanism of Adsorption
6.4Types of Adsorption
7.0Freundlich Isotherm
8.0Important PYQs on Solid State and Surface Chemistry