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Question 70 of 70

Q.(a)

(i) Differentiate crystalline solids and amorphous solids.
(ii) Explain the rate determining step with an example. OR
(b) Derive an expression for Ostwald's dilution law.
Tamil Nadu DgeTamil Nadu HSC (DGE) Board 2026Subjective· 5mImportance★★★★★
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(a) Crystalline and amorphous solids differ fundamentally in their internal order and melting behaviour; and in any multistep reaction mechanism, it's the single slowest step that sets the overall observed rate. OR (b) applying the law of mass action to a weak electrolyte's dissociation equilibrium, and simplifying for small α\alpha, yields Ostwald's dilution law relating degree of dissociation to concentration.

(a)(i) Crystalline vs amorphous solids:

FeatureCrystalline solidsAmorphous solids
ShapeDefinite, regular geometric shapeIrregular shape
OrderLong-range order (regular, repeating 3-D pattern)Only short-range order
Melting pointSharp, characteristic melting pointMelts/softens gradually over a range of temperature
IsotropyAnisotropic (physical properties like refractive index vary with direction)Isotropic (properties are the same in all directions)
NatureTrue solidsPseudo-solids / supercooled liquids
CleavageCleaves along definite crystal planes, giving flat facesBreaks with irregular, curved surfaces

(a)(ii) Rate-determining step, with an example: in a reaction that proceeds via several sequential elementary steps (a mechanism), the overall observed rate of the reaction is governed entirely by the slowest of these steps — this is called the rate-determining step (RDS), since the reaction as a whole cannot proceed faster than its slowest step, regardless of how fast the other steps are. Example: the iodide-ion-catalysed decomposition of hydrogen peroxide proceeds via two steps: Step 1 (slow, RDS): H2O2+I−→H2O+IO−H_2O_2 + I^- \rightarrow H_2O + IO^-; Step 2 (fast): H2O2+IO−→H2O+O2+I−H_2O_2 + IO^- \rightarrow H_2O + O_2 + I^-. Since Step 1 is much slower, the overall rate law is determined entirely by it: Rate=k[H2O2][I−]\text{Rate}=k[H_2O_2][I^-], even though the overall stoichiometric equation is 2H2O2→2H2O+O22H_2O_2 \rightarrow 2H_2O + O_2.

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