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ChemistryClass 123 markshard
Coordination Compounds
Explain the splitting of d orbitals in an octahedral crystal field according to crystal field theory.
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According to crystal field theory, the bonding between the metal and the ligands is purely electrostatic. In an isolated metal ion the five d orbitals have the same energy (degenerate). When six ligands approach along the axes in an octahedral field, they repel the d orbitals unequally: the two orbitals pointing along the axes (dx2-y2 and dz2, called eg) are repelled more and rise in energy, while the three orbitals pointing between the axes (dxy, dyz, dzx, called t2g) are repelled less and are lowered in energy. This energy gap between t2g and eg is the crystal field splitting energy (delta o).
Marking-scheme points
- ✓Metal-ligand bonding treated as electrostatic
- ✓Six ligands approach along the axes (octahedral)
- ✓d orbitals split into lower t2g and higher eg; gap = delta o
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Haloalkanes and Haloarenes
How are haloalkanes prepared from alcohols? Write the reactions.
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Haloalkanes are commonly prepared from alcohols by replacing the -OH group with a halogen. (1) With hydrogen halides: R-OH + HX -> R-X + H2O (reactivity of alcohols is 3 degrees > 2 degrees > 1 degree). (2) With phosphorus halides: 3R-OH + PCl3 -> 3R-Cl + H3PO3, and R-OH + PCl5 -> R-Cl + POCl3 + HCl. (3) With thionyl chloride (the best method, as the by-products are gases): R-OH + SOCl2 -> R-Cl + SO2 + HCl.
R-OH + SOCl2 -> R-Cl + SO2 + HCl
Marking-scheme points
- ✓R-OH + HX -> R-X + H2O
- ✓3R-OH + PCl3 -> 3R-Cl + H3PO3
- ✓R-OH + SOCl2 -> R-Cl + SO2 + HCl (best method)
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Haloalkanes and Haloarenes
Distinguish between the SN1 and SN2 mechanisms of nucleophilic substitution.
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In the SN2 (substitution nucleophilic bimolecular) mechanism, the reaction occurs in a single step; the nucleophile attacks the carbon from the side opposite the leaving group, and bond breaking and bond making occur simultaneously. Its rate depends on both the substrate and the nucleophile, and it gives inversion of configuration (Walden inversion); it is favoured by primary halides. In the SN1 (substitution nucleophilic unimolecular) mechanism, the reaction occurs in two steps through a carbocation intermediate; its rate depends only on the substrate, and it usually gives a racemic mixture. It is favoured by tertiary halides and polar protic solvents.
Marking-scheme points
- ✓SN2: one step, backside attack, inversion; rate depends on both reactants; favoured by primary halides
- ✓SN1: two steps via carbocation; rate depends only on substrate; racemisation
- ✓SN1 favoured by tertiary halides and polar protic solvents
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Alcohols, Phenols and Ethers
How are alcohols prepared by the hydration of alkenes and by the reduction of aldehydes and ketones?
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Aldehydes, Ketones and Carboxylic Acids
Why do aldehydes and ketones undergo nucleophilic addition reactions? Give one example.
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Aldehydes, Ketones and Carboxylic Acids
Why are carboxylic acids more acidic than phenols? How do electron-withdrawing groups affect their acidity?
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Amines
How are primary amines prepared by the reduction of nitro compounds and by Hofmann's bromamide reaction?
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Amines
Why are amines basic in nature? Compare the basic strength of amines in the gaseous phase.
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Amines
How is benzenediazonium chloride prepared? Write one of its reactions (Sandmeyer reaction).
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Biomolecules
What are proteins? What is meant by denaturation of a protein?
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Relations and Functions
Show that the relation R on the set of integers Z defined by aRb if (a - b) is divisible by 3 is an equivalence relation.
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Relations and Functions
Show that the function f: R -> R given by f(x) = 2x + 3 is a bijection.
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Relations and Functions
If f: R -> R is given by f(x) = 2x + 3, find its inverse function.
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Inverse Trigonometric Functions
Prove that tan inverse (1) + tan inverse (2) + tan inverse (3) = pi.
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Matrices
If A = [[1, 2],[3, 4]] and B = [[2, 0],[1, 3]], find the product AB.
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Matrices
Show that any square matrix A can be written as the sum of a symmetric and a skew-symmetric matrix.
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Determinants
Using determinants, find the area of the triangle whose vertices are (1, 0), (6, 0) and (4, 3).
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Determinants
Find the inverse of the matrix A = [[2, 3],[1, 4]] using the adjoint method.
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Determinants
Solve the system of equations 2x + 3y = 8 and x + 2y = 5 using determinants (Cramer's rule).
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Continuity and Differentiability
Find the value of k for which the function f(x) = kx + 1 for x <= 5 and f(x) = 3x - 5 for x > 5 is continuous at x = 5.
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