NCERT Solutions Class 12 Chemistry Chapter 2 – Solutions
NCERT Solutions for Class 12 Chemistry Chapter 2: Solutions
This chapter covers types of solutions, concentration units, Raoult’s law, colligative properties, and abnormal molar masses. It is important for both boards (8-10 marks) and competitive exams.
Exercise Questions and Solutions
Q1. Calculate the mass percentage of benzene (C₆H₆) and carbon tetrachloride (CCl₄) if 22 g of benzene is dissolved in 122 g of carbon tetrachloride.
Solution:
Total mass = 22 + 122 = 144 g
Mass % of benzene = (22/144) × 100 = 15.28%
Mass % of CCl₄ = (122/144) × 100 = 84.72%
Q2. Calculate the mole fraction of benzene in solution containing 30% by mass in carbon tetrachloride.
Solution:
Assume 100 g of solution: 30 g benzene + 70 g CCl₄
Moles of benzene = 30/78 = 0.385 mol
Moles of CCl₄ = 70/154 = 0.455 mol
Mole fraction of benzene = 0.385/(0.385 + 0.455) = 0.458
Q3. Calculate the molarity of a solution containing 5 g of NaOH in 450 mL solution.
Solution:
Moles of NaOH = 5/40 = 0.125 mol
Volume = 450 mL = 0.45 L
Molarity = 0.125/0.45 = 0.278 M
Q4. The boiling point of benzene is 353.23 K. When 1.80 g of a non-volatile solute was dissolved in 90 g of benzene, the boiling point is raised to 354.11 K. Calculate the molar mass of the solute. (Kb for benzene = 2.53 K kg mol⁻¹)
Solution:
ΔTb = 354.11 – 353.23 = 0.88 K
ΔTb = Kb × m
0.88 = 2.53 × (1.80/M × 1000/90)
0.88 = 2.53 × 20/M
M = 2.53 × 20/0.88 = 57.5 g/mol
Important Formulas
| Property | Formula |
|---|---|
| Molality | m = moles of solute / kg of solvent |
| Raoult’s Law | P = P°₁x₁ + P°₂x₂ |
| Relative lowering | (P° – P)/P° = x₂ = n₂/(n₁ + n₂) |
| Elevation in BP | ΔTb = Kb × m |
| Depression in FP | ΔTf = Kf × m |
| Osmotic pressure | π = CRT = (n/V)RT |
| Van’t Hoff factor | i = observed value / calculated value |
Key Takeaways
- Solutions are homogeneous mixtures of two or more components
- Colligative properties depend on number of particles, not nature
- Raoult’s law: partial vapor pressure ∝ mole fraction
- Ideal solutions obey Raoult’s law; non-ideal show deviations
- For electrolytes, use Van’t Hoff factor (i) in formulas
- Osmotic pressure is used to determine molar mass of polymers
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