Q.(a)
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Start your 14-day free trial to unlock the full solution →(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 , yields Ostwald's dilution law relating degree of dissociation to concentration.
(a)(i) Crystalline vs amorphous solids:
| Feature | Crystalline solids | Amorphous solids |
|---|---|---|
| Shape | Definite, regular geometric shape | Irregular shape |
| Order | Long-range order (regular, repeating 3-D pattern) | Only short-range order |
| Melting point | Sharp, characteristic melting point | Melts/softens gradually over a range of temperature |
| Isotropy | Anisotropic (physical properties like refractive index vary with direction) | Isotropic (properties are the same in all directions) |
| Nature | True solids | Pseudo-solids / supercooled liquids |
| Cleavage | Cleaves along definite crystal planes, giving flat faces | Breaks 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): ; Step 2 (fast): . Since Step 1 is much slower, the overall rate law is determined entirely by it: , even though the overall stoichiometric equation is .
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