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Q.Explain the terms:

(i) Molarity
(ii) Molality
(iii) Mole fraction
(iv) Normality
(v) Parts per million OR What are colligative properties? Derive the relation between the elevation in boiling point and molecular mass of a non-volatile solute in solution.
Jammu Kashmir JkboseJKBOSE Class 12 Annual Regular Examination 2020Subjective· 5mImportance★★★★★
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These are five ways of expressing the concentration of a solution; the OR part derives how boiling-point elevation is used to find a solute's molar mass.

  1. Molarity (M) — number of moles of solute dissolved per litre of solution. M = (moles of solute) / (volume of solution in L). Unit: mol L⁻¹. It varies with temperature since volume changes with temperature.
  2. Molality (m) — number of moles of solute per kilogram of solvent. m = (moles of solute) / (mass of solvent in kg). Unit: mol kg⁻¹. Unlike molarity, molality does not change with temperature since it is based on mass, not volume.
  3. Mole fraction (x) — ratio of the number of moles of one component to the total number of moles of all components in the solution. For a solute (2) in solvent (1): x1 = n1/(n1+n2), x2 = n2/(n1+n2), and x1 + x2 = 1. It is unitless.
  4. Normality (N) — number of gram-equivalents of solute dissolved per litre of solution. N = (number of gram equivalents of solute) / (volume of solution in L) = M × n-factor. Unit: eq L⁻¹ (or N).
  5. Parts per million (ppm) — used for very dilute solutions; the mass (or number) of parts of solute present per million parts of the solution. ppm = (mass of solute / mass of solution) × 10⁶.

OR — Colligative properties and elevation of boiling point

Colligative properties are properties of a solution that depend only on the number of solute particles present in the solution, not on their chemical nature. The four colligative properties are: relative lowering of vapour pressure, elevation in boiling point, depression in freezing point, and osmotic pressure.

Derivation — elevation of boiling point (ΔTb) and molar mass: …

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