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Solutions and Electrochemistry

Colligative properties, Raoult's law, Faraday's laws, cell EMF

Raoult LawColligative PropertiesVan't Hoff FactorCell EMFNernst EquationFaraday LawsMolar Conductance
📋 PYQs Available:
20232022202120202019
Expert Content

Solutions and Electrochemistry (NEET Chemistry)

Why This Chapter Matters

Solutions and Electrochemistry carry 6-10 marks in NEET Chemistry. Colligative properties, Raoult's law, Faraday's laws, and cell EMF calculations are all regularly tested.

Core Concepts

1. Types of Solutions and Concentration Terms

Concentration expressions:

Molarity (M) = moles of solute / litres of solution (changes with temperature)

Molality (m) = moles of solute / kg of solvent (temperature-independent — preferred for colligative properties)

Mole fraction (χ) = moles of component / total moles

Normality (N) = equivalents of solute / litre of solution

2. Raoult's Law and Vapour Pressure

Raoult's Law (ideal solutions):

p_A = χ_A × p°_A (partial pressure = mole fraction × pure vapour pressure)

For binary solution: p_total = χ_A p°_A + χ_B p°_B

Relative lowering of vapour pressure:

(p° - p)/p° = χ_solute = n_solute/(n_solute + n_solvent)

For dilute solutions: ≈ n_solute/n_solvent = W/M × M_s/W_s

Non-ideal solutions:

Positive deviation (A-B < A-A, B-B): p > Raoult's prediction. Example: alcohol-water.

Negative deviation (A-B > A-A, B-B): p < Raoult's prediction. Example: chloroform-acetone.

Azeotrope: mixture boiling at constant composition (cannot separate by distillation).

3. Colligative Properties

Depend only on number of solute particles, NOT on their nature.

Lowering of vapour pressure: Δp = χ_B × p°_A

Elevation of boiling point: ΔTb = Kb × m | Kb = molal boiling point elevation constant (ebullioscopic constant)

Depression of freezing point: ΔTf = Kf × m | Kf = molal freezing point depression constant (cryoscopic constant)

Osmotic pressure (π): π = MRT = nRT/V (van't Hoff equation)

van't Hoff factor (i):

i = observed colligative property / expected colligative property

For non-electrolytes: i = 1

For electrolytes: i > 1 (dissociation increases particles)

For association: i < 1

ΔTb = i × Kb × m | ΔTf = i × Kf × m | π = iMRT

4. Electrochemistry

Electrochemical cells:

Galvanic/Voltaic cell: chemical → electrical energy (spontaneous)

Electrolytic cell: electrical → chemical energy (non-spontaneous, needs external power)

Standard cell EMF:

E°cell = E°cathode - E°anode (reduction potentials)

E°cell > 0 → spontaneous reaction

Nernst Equation:

E_cell = E°cell - (RT/nF)lnQ

At 25°C: E_cell = E°cell - (0.0591/n)logQ

Relationship: ΔG = -nFE | ΔG° = -nFE° = -RT lnK

E°cell > 0 → ΔG° < 0 → K > 1 (spontaneous)

Faraday's Laws of Electrolysis:

1st law: Mass deposited ∝ Quantity of charge (Q = It)

2nd law: Mass deposited ∝ Equivalent weight

W = (M/nF) × Q = (E/F) × Q

where E = equivalent weight = M/n (n = valence factor)

1 Faraday = 96500 C = charge of 1 mole of electrons

Conductance:

Specific conductance (κ): conductance per unit length per unit area

Molar conductance (Λm): κ × 1000/M (units: S·cm²·mol⁻¹)

Λm increases with dilution for both strong and weak electrolytes.

Λm at infinite dilution (Λ°m):

Strong electrolytes: extrapolate graph

Weak electrolytes: use Kohlrausch's law: Λ°m = Σλ°(ions)

PYQs (NEET)

NEET 2023: 0.1 M glucose solution has osmotic pressure at 300K? (R = 0.083 L·bar·K⁻¹·mol⁻¹)

π = MRT = 0.1 × 0.083 × 300 = 2.49 bar

NEET 2022: How many seconds to deposit 1.08 g of silver (M=108) from AgNO₃ solution using 2A current?

Q = (M/nF) × mass → mass = Q × M/nF = I×t×M/nF

t = mass × nF/(M × I) = 1.08 × 1 × 96500 / (108 × 2) = 483 seconds

NEET 2021: For a reaction, E°cell = 0.59 V at 25°C with n=2. What is ΔG°?

ΔG° = -nFE° = -2 × 96500 × 0.59 = -113870 J = -113.9 kJ

Revision Notes

CONCENTRATION:
Molarity: moles/L solution (temperature-dependent)
Molality: moles/kg solvent (temperature-independent, use for colligative)

RAOULT'S LAW: p_A = χ_A × p°_A
Positive deviation: alcohol+water | Negative: chloroform+acetone

COLLIGATIVE PROPERTIES (depend on n particles, not nature):
ΔTb = i × Kb × m (boiling point elevation)
ΔTf = i × Kf × m (freezing point depression)
π = iMRT (osmotic pressure)

VAN'T HOFF FACTOR i:
Non-electrolyte: i=1 | Electrolyte: i>1 | Association: i<1

ELECTROCHEMISTRY:
E°cell = E°cathode - E°anode
Nernst: E = E° - (0.0591/n)logQ at 25°C
ΔG = -nFE | ΔG° = -RT lnK

FARADAY'S LAW:
W = (M/nF) × I × t | 1F = 96500 C/mol
n = number of electrons transferred per formula unit
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