Multiple Choice Questions (MCQs) for Class 11 Chemistry: Chapter 04 Chemical Bonding and Molecular Structure
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Practice Chapter 04 Chemical Bonding and Molecular Structure MCQs for Class 11 Chemistry
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This set of Class 11 Chemistry questions on Chemical Bonding and Molecular Structure has Assertion–Reason questions followed by case based questions on chemical bonding, VSEPR theory, formal charge, dipole moment and molecular orbitals. Answers are hidden under each question along with clear explanations.
Assertion–Reason Questions
Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
Assertion (A): SF6 and PF5 are examples of expanded octet molecules.
Reason (R): P in PF5 and S in SF6 are in sp3d and sp3d2−hybridisation respectively.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Explanation:
1. In such type of compounds, participation of d-orbitals in bonding increases the number of valence electrons around the central atom to more than eight (10 around P in PF5 and 12 around S in SF6). Thus, it is termed as expanded octet.
2. P in PF5 is sp3d and S in SF6 is sp3d2 hybridised, which is also true.
3. Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion (the octet is expanded because of the number of bonds formed using vacant d-orbitals).
Teacher's Note:
1. Expanded octets are possible only for elements of period 3 and beyond, which have vacant d-orbitals.
2. Hybridisation describes the geometry; it does not by itself explain why the octet expands.
Assertion (A): Octet theory cannot account for the shape of the molecule.
Reason (R): Octet theory can predict relative stability and energy of a molecule.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. Octet theory does not explain the shape of molecules, so Assertion is correct.
2. Octet theory is totally silent about the energy of a molecule and about its relative stability, so Reason is incorrect.
3. ∴ Assertion is correct but Reason is incorrect.
Teacher's Note:
1. Limitations of the octet rule: no shapes, no relative stability or energy of molecules.
2. VSEPR and VBT were developed to explain shapes; MO theory explains stability.
Assertion (A): Sodium chloride formed by the action of chlorine gas on sodium metal is a stable compound.
Reason (R): This is because sodium and chloride ions acquire octet in sodium chloride formation. (NCERT Exemplar)
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Na loses one electron to form Na+ (2, 8) and Cl gains one electron to form Cl− (2, 8, 8). Both ions acquire an octet (noble gas configuration), so NaCl is a stable compound.
2. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. In the Kossel approach, ions are stable when they attain noble gas configuration.
2. The large lattice enthalpy released also makes NaCl formation energetically favourable.
Assertion (A): Ionic bond is non-directional.
Reason (R): Each ion is surrounded by a uniformly distributed electric field.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Each ion, because of its uniformly distributed (spherically symmetrical) electric field, attracts oppositely charged ions equally in all directions, so the ionic bond is non-directional.
2. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. Covalent bonds are directional because they depend on orbital overlap; ionic bonds are not.
2. This is why ionic compounds do not show structural (geometrical) isomerism.
Assertion (A): Order of lattice energy for same halides are as LiF > NaF > KF.
Reason (R): Size of alkali metals increases from Li to K.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Lattice energy ∝ \( \frac{\text{charge of ions}}{\text{size of ions}} \).
2. In LiF, NaF and KF the anion and the charges are the same; only the cation size changes. As the size of the alkali metal ion increases from Li+ to K+, the interionic distance increases and the lattice energy decreases.
3. So, LiF > NaF > KF. Both Assertion and Reason are correct, and Reason is the correct explanation of Assertion.
Teacher's Note:
1. With the same anion and charges, the smallest cation gives the highest lattice energy.
2. Lattice energy values: LiF ≈ 1037, NaF ≈ 926 and KF ≈ 821 kJ mol−1.
Assertion (A): In NH3, N is sp3−hybridised, but angle is found to be 107°.
Reason (R): The decrease in bond angle is due to repulsion between the lone pair on nitrogen and bond pair between N and H.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Lone pair-lone pair repulsion > lone pair-bond pair repulsion > bond pair-bond pair repulsion.
2. In NH3 there are three bond pairs and one lone pair. The three N—H bond pairs are pushed closer because of the lone pair-bond pair repulsion, and the H—N—H bond angle gets reduced from 109° 28′ (the tetrahedral angle) to 107°.
3. Both Assertion and Reason are correct and Reason is correct explanation of Assertion.
Teacher's Note:
1. lp–bp repulsion is stronger than bp–bp repulsion, so lone pairs always compress bond angles.
2. H2O, with two lone pairs, has an even smaller angle of 104.5°.
Assertion (A): Bond energy and bond dissociation energy have identical value for diatomic molecules.
Reason (R): Greater the bond dissociation energy, less reactive is the bond.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Explanation:
1. Bond dissociation energy is the energy required to break one mole of bonds of a particular type so as to separate them into gaseous atoms. Bond energy is the average value of dissociation energies of the same type of bonds present in the molecule. For a diatomic molecule there is only one bond, so the two values are identical.
2. For polyatomic molecules, average bond energy is taken (e.g. bond energy of C—H bond in methane is 99.2 kcal/mol).
3. A bond with greater dissociation energy is stronger and less reactive.
4. Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
Teacher's Note:
1. Bond energy = average of successive dissociation energies; they coincide only when there is one bond.
2. Stronger bonds (higher dissociation energy) are harder to break, so they are less reactive.
Assertion (A): BF3 molecule has zero dipole moment.
Reason (R): F is electronegative and B—F bonds are polar in nature.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Explanation:
1. BF3 is sp2−hybridised and trigonal planar. Dipole moment is a vector quantity. The three bond moments give a net sum of zero, as the resultant of any two is equal and opposite to the third.
2. Resultant dipole moment = 0 :
3. B—F bonds are polar because F is highly electronegative, which is also true.
4. Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion (zero dipole moment is due to the symmetrical shape).
Teacher's Note:
1. A molecule with polar bonds can still be non-polar if its shape is symmetrical.
2. BF3, CO2, CH4 and CCl4 all have polar bonds but zero net dipole moment.
Assertion (A): According to Fajans’ rule, covalent character is favoured by small cation and large anion.
Reason (R): The magnitude of covalent character in the ionic bond depends upon the extent of polarisation.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. A small cation has high polarising power and a large anion is easily polarised. Greater the polarisation of the anion by the cation, greater is the covalent character.
2. Assertion and Reason both are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. Polarising power of cation ∝ charge/size; polarisability of anion increases with its size.
2. That is why LiI is more covalent than LiF, and AlCl3 is more covalent than NaCl.
Assertion (A): Shape of NH3 molecule is tetrahedral.
Reason (R): In NH3, nitrogen is sp3−hybridised.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (d) A is false, but R is true.
Explanation:
1. NH3 molecule is sp3−hybridised because out of four electron pairs, three are bonding pairs and one is a lone pair. Its electron pair geometry is tetrahedral but its shape is pyramidal (trigonal pyramidal).
2. Thus, Assertion is incorrect but Reason is correct.
Teacher's Note:
1. Shape describes only the positions of atoms; lone pairs are not counted in the shape name.
2. sp3 with one lone pair gives trigonal pyramidal; with two lone pairs gives bent (as in H2O).
Assertion (A): Though the central atom of both NH3 and H2O molecules are sp3−hybridised, yet H—N—H bond angle is greater than that of H—O—H.
Reason (R): This is because nitrogen atom has one lone pair and oxygen atom has two lone pairs.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Assertion and Reason both are correct and Reason is the correct explanation of Assertion.
2. In H2O, two lone pairs on O cause greater repulsion (lp-lp > lp-bp), reducing the bond angle to 104.5°, whereas NH3 with one lone pair has a bond angle of 107°.
Teacher's Note:
1. More lone pairs on the central atom mean a smaller bond angle for the same hybridisation.
2. CH4 (0 lp) 109.5° > NH3 (1 lp) 107° > H2O (2 lp) 104.5°.
Assertion (A): The hybridisation possessed by boron atom in BCl3 molecule is sp3.
Reason (R): sp2−hybrid structure has trigonal planar geometry.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (d) A is false, but R is true.
Explanation:
1. Hybridisation of B in BCl3 = \( \frac{1}{2}(V + Y - C + A) = \frac{1}{2}(3 + 3 - 0 + 0) = 3 \) ⇒ sp2
2. So, boron in BCl3 is sp2−hybridised, not sp3. Assertion is incorrect.
3. An sp2−hybridised atom with no lone pair has trigonal planar geometry (bond angle 120°), so Reason is correct.
4. Thus, Assertion is incorrect but Reason is correct.
Teacher's Note:
1. Boron has only 3 valence electrons, forming 3 bond pairs and no lone pair in BCl3.
2. BCl3 becomes sp3 only when it accepts a lone pair, e.g. in BCl3·NH3 or BF4−.
Assertion (A): Fluorine molecule has bond order one.
Reason (R): The number of electrons in the antibonding molecular orbitals is two less than that in bonding molecular orbitals.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Electronic configuration of F2 molecule is
2. σ1s2 σ*1s2 σ2s2 σ*2s2 σ2pz2 π2px2 = π2py2 π*2px2 = π*2py2
3. Bond order = \( \frac{\text{No. of electrons in bonding MOs} - \text{No. of electrons in antibonding MOs}}{2} \) = \( \frac{10 - 8}{2} \) = 1
4. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. A difference of 2 between bonding and antibonding electrons always gives bond order 1.
2. F2 is diamagnetic since all its electrons are paired.
Assertion (A): Among the two O—H bonds in H2O molecule, the energy required to break the first O—H bond and the other O—H bond is not the same.
Reason (R): This is because the electronic environment around oxygen is the same even after breakage of one O—H bond.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. The bond enthalpies of the two O—H bonds in H—O—H are not equal (502 kJ mol−1 for the first and 427 kJ mol−1 for the second). So, Assertion is correct.
2. This is because the electronic environment around O is not the same after breakage of one O—H bond (OH radical is left behind). So, Reason as stated is incorrect.
3. Thus, Assertion is correct but Reason is incorrect.
Teacher's Note:
1. Successive bond dissociation enthalpies differ because the remaining fragment has a different environment.
2. That is why mean bond enthalpy (464.5 kJ mol−1 for O—H) is used for polyatomic molecules.
Assertion (A): Water is one of the best solvents.
Reason (R): H-bonding is present in water molecules.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Explanation:
1. Water is an excellent solvent because it has a high value of dielectric constant.
2. Due to the high value of dielectric constant, the electrostatic forces of attraction between the ions decrease, and these ions get separated and ultimately get solvated by the solvent molecules.
3. H-bonding is also present in water molecules.
4. Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
Teacher's Note:
1. The dielectric constant of water (about 78) reduces interionic attraction about 78 times.
2. H-bonding explains the high boiling point of water, not its solvent power for ionic compounds.
Case Based Questions
Case Study 1: Read the passage given below and answer the questions that follow.
Chemical bonding involves interactions that account for the association of atoms into molecules, ions, crystals, and other stable species that make up the familiar substances of the everyday world. When atoms approach one another, their nuclei and electrons interact and tend to distribute themselves in space in such a way that the total energy is lower than it would be in any alternative arrangement. If the total energy of a group of atoms is lower than the sum of the energies of the component atoms, then they bond together and the energy lowering is the bonding energy.
The ideas that helped to establish the nature of chemical bonding came to fruition during the early 20th century, after the electron had been discovered and quantum mechanics had provided a language for the description of the behaviour of electrons in atoms.
However, even though chemists need quantum mechanics to attain a detailed quantitative understanding of bond formation, much of their pragmatic understanding of bonds is expressed in simple intuitive models. These models treat bonds as primarily of two kinds, namely, ionic and covalent.
The type of bond that is most likely to occur between two atoms can be predicted on the basis of the location of the elements in the periodic table, and to some extent the properties of the substances so formed can be related to the type of bonding.
A key concept in a discussion of chemical bonding is that of the molecule. Molecules are the smallest unit of compounds that can exist. One feature of molecules that can be predicted with reasonable success is their shape. Molecular shapes are of considerable importance for understanding the reactions that compounds can undergo, and so the link between chemical bonding and chemical reactivity is discussed briefly in this article.
(a) He22+
(b) He2+
(c) H2−
(d) H22−
Show Answer & Explanation
Answer: (d) H22−
Explanation:
1. If the bond order of any species is zero, that cannot exist.
2. H22− = σ1s2, σ*1s2; bond order = \( \frac{2 - 2}{2} \) = 0
3. He22+ (σ1s2) has bond order 1, while He2+ and H2− have bond order ½, so they can exist.
4. So, H22− will not be an available molecule.
Teacher's Note:
1. Any species with equal bonding and antibonding electrons has bond order zero and does not exist.
2. H22− is isoelectronic with He2 (4 electrons), which also does not exist.
(a) NaCl
(b) NaClO4
(c) PCl3
(d) POCl3
Show Answer & Explanation
Answer: (b) NaClO4
Explanation:
1. NaClO4 contains two parts: it has ionic bonding between Na+ and ClO4− ions.
2. In ClO4− (perchlorate ion), Cl is sp3−hybridised and the Cl—O bonds are covalent.
3. NaCl is purely ionic, while PCl3 and POCl3 are purely covalent.
Teacher's Note:
1. Salts of polyatomic ions (NaClO4, KNO3, NH4Cl) contain both ionic and covalent bonds.
2. The bonds inside the polyatomic ion are covalent; the attraction between the ions is ionic.
(a) −0.75, 1.25
(b) −0.75, 1.0
(c) −0.75, 0.6
(d) −3, 1.25
Show Answer & Explanation
Answer: (a) −0.75, 1.25
Explanation:
1. The formal charge on each O-atom in PO43− = \( -\frac{3}{4} \) = −0.75
2. P—O bond order in PO43− = \( \frac{\text{total number of bonds between atoms}}{\text{total number of resonating structures}} \) = \( \frac{5}{4} \) = 1.25
3. (One P=O double bond and three P—O single bonds give 5 bonds shared by 4 equivalent P—O links.)
Teacher's Note:
1. Average formal charge = ionic charge ÷ equivalent atoms; average bond order = total bonds ÷ equivalent links.
2. Compare with NO3− : formal charge −1/3 on each O and N—O bond order 4/3.
(a) The overlap of vacant 1s orbitals of two H-atoms
(b) The lowering of potential energy of the system as the two H-atoms come near to each other
(c) The maximum energy of the system at the equilibrium internuclear distance
(d) Stabilisation of the molecule; when the nuclei are brought still closer to each other from the equilibrium inter-nuclear distance
Show Answer & Explanation
Answer: (b) The lowering of potential energy of the system as the two H-atoms come near to each other
Explanation:
1. On the basis of VB theory, the formation of H2 molecule from two H-atoms involves lowering of potential energy of the system as the two H-atoms come near to each other.
2. This energy will be minimum at the equilibrium internuclear distance. If the nuclei are brought still closer, repulsion increases and the energy rises.
Teacher's Note:
1. The 1s orbitals that overlap are half-filled, not vacant.
2. Energy is minimum (not maximum) at the equilibrium bond length.
(a) trans-2-butene
(b) 1,3-dimethylbenzene
(c) acetophenone
(d) ethanol
Show Answer & Explanation
Answer: (c) acetophenone
Explanation:
1. trans-2-Butene is symmetrical (μ = 0) and 1,3-dimethylbenzene has a very small dipole moment.
2. Ethanol has a dipole moment of about 1.7 D.
3. The dipole moment of acetophenone is about 3 Debye, the highest amongst the given compounds, as it has a strong electron withdrawing carbonyl (C=O) group.
Teacher's Note:
1. The polar C=O group gives carbonyl compounds large dipole moments.
2. trans isomers of symmetrical alkenes have zero dipole moment.
Case Study 2: Read the passage given below and answer the questions that follow.
In order to explain the shapes of molecules adequately, Sidgwick and Powell in 1940 proposed a theory based on the repulsive interaction of the electron pairs in the valence shell of the atoms. Nyholm and Gillespie (1950) further developed and redefined the concept.
The main postulates of this theory are as follows :
The number of valence shell electron pairs (bonded or non-bonded) present around the central atom decides the shape of the molecules. The shared electron pairs are called bond pairs and unshared or non-bonding electrons are called lone pairs.
Electron pairs of valence shell repel one another because their electron clouds are negatively charged.
These electron pairs arrange themselves in such a way so that there is minimum repulsion and maximum distance in between them. The valence shell is considered as a sphere in which the electron pairs are localised on the spherical surface at maximum distance from one another.
A lone pair occupies more space than a bonding pair, since it lies closer to the central atom. This means that the repulsion between the different electron pairs follows the order :
Lone pair-lone pair > lone pair-bond pair > bond pair-bond pair
(lp - lp) > (lp - bp) > (bp - bp)
(a) HF
(b) H2O
(c) BF3
(d) CHCl3
Show Answer & Explanation
Answer: (c) BF3
Explanation:
1. In BF3, the dipole moment is zero although the B—F bonds are oriented at an angle of 120° to one another; the three bond moments give a net sum of zero as the resultant of any two is equal and opposite to the third.
2. Structure of BF3 molecule is as follows :
3. HF, H2O (bent) and CHCl3 have net dipole moments.
Teacher's Note:
1. Symmetrical shapes (linear AB2, trigonal planar AB3, tetrahedral AB4) cancel bond dipoles.
2. CHCl3 is polar because one C—H bond differs from the three C—Cl bonds.
(a) H2O
(b) BF3
(c) NH2−
(d) PCl3
Show Answer & Explanation
Answer: (d) PCl3
Explanation:
1. PCl3 contains three bond pairs and one lone pair around the central atom.
2. H2O and NH2− have 2 bp + 2 lp, while BF3 has 3 bp + 0 lp.
Teacher's Note:
1. Group 15 central atoms with three single bonds (NH3, PCl3, PH3) have 3 bp + 1 lp.
2. NH2− is isoelectronic with H2O and has two lone pairs.
(a) Same hybridisation
(b) Different hybridisation
(c) Repulsive effect
(d) None of the above
Show Answer & Explanation
Answer: (c) Repulsive effect
Explanation:
1. Repulsive effects result in deviations from idealised shapes and alterations in bond angles in the molecules. Presence of lone pair of electrons causes repulsion between lone pair-bond pair.
2. In H—O—H, two lone pairs of oxygen repel the two bond pairs of —OH.
3. In NH3, one lone pair of nitrogen repels the three bond pairs of N—H.
Teacher's Note:
1. Both H2O and NH3 are sp3; the deviation from 109.5° comes from lone pair repulsion, not hybridisation.
2. Greater number of lone pairs means greater deviation (H2O 104.5°, NH3 107°).
(a) PH3
(b) ClF3
(c) NCl3
(d) BCl3
Show Answer & Explanation
Answer: (d) BCl3
Explanation:
1. BCl3 is sp2−hybridised and the central atom does not have any lone pair of electrons. So, it is trigonal planar with bond angles of 120°.
2. Structure of BCl3 :
3. PH3 and NCl3 are pyramidal (angles less than 109.5°) and ClF3 is T-shaped (angles close to 90°).
Teacher's Note:
1. 120° bond angles belong to sp2 central atoms with no lone pair (BF3, BCl3, SO3).
2. PH3 has a bond angle of only about 93.5°.
(a) Structure (a)
(b) Structure (b)
(c) Structure (c)
(d) Structure (d)
Show Answer & Explanation
Answer: (a) Structure (a)
Explanation:
1. Structure (a) is the most stable geometry because both the lone pairs are present at equatorial positions.
2. Due to this, repulsion is minimum in the molecule as compared to the other structures, where a lone pair is at an axial position.
3. This gives ClF3 its T-shape.
Teacher's Note:
1. In a trigonal bipyramid, lone pairs always prefer the roomier equatorial positions.
2. The same rule explains the see-saw shape of SF4 and the linear shape of XeF2.
Case Study 3: Read the passage given below and answer the questions that follow.
Lewis postulated that atoms achieve the stable octet (or duplet in case of H and He) when they are joined through chemical bonds or in other words atoms join together either by transfer of valence electrons from one atom to another (gaining or losing) or by sharing of valence electrons in order to complete their octet (i.e. eight electrons in the valence shell). This is known as octet rule. Octet rule has not been followed in all molecules.
Elements of the third and higher periods of the periodic table, because of the availability of d-orbitals can expand their covalency and can accommodate more than eight valence electrons around the central atom. This is referred as expanded octet.
Here, also the octet rule is not applicable. e.g. PF5 (10 electrons around P-atom), SF6 (12 electrons around S-atom), H2SO4 (12 electrons around S atom). Compounds having expanded octet are also termed as hypervalent compounds. Formal charge is a factor which is based on pure covalent view of bonding in which electron pairs are shared equally by neighbouring atoms. It may be defined as the difference between the number of valence electrons of that atom in an isolated or free state and the number of electrons assigned to that atom in the Lewis structure. It is represented as :
FC = V − L − \( \frac{1}{2} \) S
where, FC = formal charge on an atom in a Lewis structure, V = total number of valence electrons in the free atom, L = total number of non-bonding (lone pair) electrons and S = total number of bonding (shared) electrons.
In these questions (i)-(iv) a statement of Assertion followed by a statement of Reason is given. Choose the correct answer out of the choices given.
Assertion (A): In case of polyatomic ions, the net charge is possessed by the ion as a whole and not by a particular atom.
Reason (R): The formal charge of an atom in a polyatomic molecule or ion may be defined as the difference between the number of valence electrons of that atom in an isolated or free state and the number of electrons assigned to that atom in the Lewis structure.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Formal charge on atom = [total valence electrons in free atom] − [total non-bonding (lone pair) electrons] − \( \frac{1}{2} \) [total shared electrons]
2. The net charge belongs to the polyatomic ion as a whole; formal charges are only used to keep track of how the valence electrons are assigned to individual atoms.
3. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. The sum of formal charges of all atoms equals the net charge of the ion.
2. Formal charge is a bookkeeping tool; real charge is spread over the whole ion.
Assertion (A): The correct Lewis structure of O3 may be drawn as :
Reason (R): The formal charges on atom 1, 2 and 3 are +1, 0 and −1, respectively.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Lewis structure of O3 :
2. Formal charge on O1 = 6 − 2 − \( \frac{1}{2} \)(6) = +1
3. Formal charge on O2 = 6 − 4 − \( \frac{1}{2} \)(4) = 0
4. Formal charge on O3 = 6 − 6 − \( \frac{1}{2} \)(2) = −1
5. Hence, correct representation of O3 is
6. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. In O3, the central O carries +1 and one terminal O carries −1, so the molecule is overall neutral.
2. The O—O bond order in O3 is 1.5 due to resonance between two such structures.
Assertion (A): Formal charges do not indicate real charge separation within the molecule.
Reason (R): Formal charges help in the selection of the lowest energy structure from a number of possible Lewis structures for a given species.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Explanation:
1. Formal charge does not indicate real charge separation within the molecule; it is based on a pure covalent view with electrons shared equally.
2. Formal charge helps in the selection of the lowest energy structure from a number of possible structures for a given species (generally the one with the smallest formal charges).
3. Hence, both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
Teacher's Note:
1. The lowest energy Lewis structure is usually the one with the smallest formal charges on the atoms.
2. Real charge distribution depends on electronegativity, which formal charge ignores.
Assertion (A): H2SO4 does not follow the octet rule.
Reason (R): In sulphur atom 3d-orbitals are also available for bonding and hence, it can have 12 electrons around itself in H2SO4.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Due to the presence of vacant d-orbitals on S-atom, it can expand its octet as in the case of H2SO4 (12 electrons around S).
2. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. Period 3 elements (P, S, Cl) can show expanded octets using vacant 3d-orbitals.
2. Period 2 elements such as N and O can never exceed an octet because they have no d-orbitals.
Assertion (A): Sulphur forms many compounds in which the octet rule is obeyed.
Reason (R): Due to the absence of d-orbitals in sulphur, it follows the octet rule.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. Sulphur forms many compounds which obey the octet rule (e.g. H2S, SCl2).
2. However, sulphur has vacant 3d-orbitals, so it can also expand its octet (as in SF6 and H2SO4). Hence, the Reason is incorrect.
3. Hence, Assertion is correct but Reason is incorrect.
Teacher's Note:
1. Having d-orbitals allows an expanded octet but does not force it.
2. H2S and SCl2 obey the octet rule, while SF4 and SF6 do not.
Case Study 4: Read the passage given below and answer the questions that follow.
Dipole moment is the measure of degree of polarity and is defined as the product of the magnitude of the charge and the distance between the centres of positive and negative charge. It is usually represented by a Greek letter μ (mu).
It is a result of polarisation.
Mathematically, it is expressed as :
Dipole moment (μ) = charge (Q) × distance of separation (r)
It is usually expressed in Debye units (D).
1 D = 3.33564 × 10−30 C m, where C is coulomb and m is metre.
or 1 D = 1 × 10−18 esu cm (or, stat C m)
Here, esu = electrostatic unit, stat C cm = static coulomb centimetre
It is a vector quantity and is represented by the crossed arrow (+→) pointing towards the more electronegative atom.
This arrow symbolises the direction of the shift of electron density in the molecule.
(a) μNH3 = μNF3
(b) μNH3 > μNF3
(c) μNH3 < μNF3
(d) None of these
Show Answer & Explanation
Answer: (b) μNH3 > μNF3
Explanation:
1. The lone pair of nitrogen opposes the resultant dipole moment of the N—F bonds in NF3, while it adds to the dipole moment of the N—H bonds in NH3.
2. So, μNH3 > μNF3 :
3. Dipole moment of NH3 = 4.90 × 10−30 C m (1.47 D) and of NF3 = 0.80 × 10−30 C m (0.24 D).
Teacher's Note:
1. In NH3 the bond dipoles point towards N, the same direction as the lone pair moment.
2. In NF3 the bond dipoles point towards F, opposite to the lone pair moment.
(a) 0.25
(b) 2.5
(c) 1
(d) 0.5
Show Answer & Explanation
Answer: (a) 0.25
Explanation:
1. Partial charge = \( \frac{\text{Dipole moment}}{\text{Bond distance}} \) = \( \frac{1.2 \times 10^{-18}\ \text{esu cm}}{1 \times 10^{-8}\ \text{cm}} \) = 1.2 × 10−10 esu
2. Fractional charge = \( \frac{1.2 \times 10^{-10}}{4.8 \times 10^{-10}} \) = 0.25
3. (4.8 × 10−10 esu is the charge of one electron.)
Teacher's Note:
1. Convert debye to esu cm first: 1 D = 10−18 esu cm.
2. Fractional charge = partial charge ÷ electronic charge (4.8 × 10−10 esu).
(a) BeF2
(b) BF3
(c) H2O
(d) All have equal dipole moment
Show Answer & Explanation
Answer: (c) H2O
Explanation:
1. Dipole moments : BeF2 : μ = 0; BF3 : μ = 0; H2O : μ = 1.84 D
2. In linear BeF2 and trigonal planar BF3, the bond moments cancel. In bent H2O, the O—H bond moments do not cancel, so H2O has the highest dipole moment.
Teacher's Note:
1. Bond angles of 180° (AB2) and 120° (AB3) with identical atoms always give zero dipole moment.
2. A bent shape (104.5°) leaves a resultant dipole.
(a) polar
(b) non-polar
(c) linear
(d) Both (b) and (c)
Show Answer & Explanation
Answer: (d) Both (b) and (c)
Explanation:
1. O=C=O is a linear molecule.
2. Its two C=O bond dipoles are equal and opposite, so its dipole moment is zero and hence it is non-polar.
Teacher's Note:
1. CO2 has polar bonds but is a non-polar molecule because of its linear shape.
2. Compare with SO2, which is bent and therefore polar.
(a) μ = q × d
(b) μ = 2qd
(c) μ = \( \frac{qd}{2} \)
(d) None of these
Show Answer & Explanation
Answer: (a) μ = q × d
Explanation:
1. Dipole moment = charge (q) × distance of separation (d).
Teacher's Note:
1. Dipole moment is a vector pointing (in chemistry) from the positive to the negative end.
2. Units: C m in SI and debye (D) in practice.
Case Study 5: Read the passage given below and answer the questions that follow.
The formation of molecular orbitals may be described by the linear combination of atomic orbitals that can take place by addition and by subtraction of wave function. The molecular orbital formed by the addition of atomic orbital is called bonding molecular orbital.
The molecular orbitals obtained by the subtraction of atomic orbitals are called antibonding molecular orbitals (AMOs) and are represented by σ* and π*. In the formation of AMOs, the electron waves cancel each other due to destructive interference.
In these orbitals, most of the electron density is located away from the space in between the nuclei.
In fact, they have a nodal plane (on which the electron density is zero) in between the nuclei and hence, the repulsion between the nuclei is high.
In contrast to the bonding molecular orbitals, the electrons placed in these orbitals destabilise the molecule because of more mutual repulsion of the electrons in this orbital as compared to the attraction between the electrons and the nuclei which cause a net increase in energy.
In these questions (i)-(iv) a statement of Assertion followed by a statement of Reason is given. Choose the correct answer out of the choices given.
Assertion (A): The total energy of two molecular orbitals, however, remains the same as that of two original atomic orbitals.
Reason (R): The energy of the antibonding orbital is raised above the energy of the parent atomic orbitals that have combined and the energy of the bonding orbital has been lowered than the parent orbitals.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Explanation:
1. According to the assumptions of MOT, two atomic orbitals combine to form two molecular orbitals; the bonding MO is lowered and the antibonding MO is raised in energy with respect to the parent atomic orbitals, so that the total energy remains the same.
2. Thus, both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
Teacher's Note:
1. The number of molecular orbitals formed always equals the number of atomic orbitals combined.
2. The antibonding MO is raised by about as much as the bonding MO is lowered.
Assertion (A): The combining atomic orbitals must have the same or nearly the same energy.
Reason (R): 1s-orbital can combine with another 2s-orbital but not with 1s-orbital because the energy of 2s-orbital is appreciably higher than that of 1s-orbital. This is not true if the atoms are very different.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. The linear combination of atomic orbitals to form molecular orbitals takes place only if the combining atomic orbitals have the same or nearly the same energy.
2. A 1s-orbital cannot combine with a 2s-orbital but can combine with another 1s-orbital, because the energy of the 2s-orbital is appreciably higher than that of the 1s-orbital.
3. Thus, Assertion is correct but Reason is incorrect.
Teacher's Note:
1. Conditions for LCAO: comparable energy, proper symmetry about the molecular axis and maximum overlap.
2. 1s combines with 1s and 2s with 2s in homonuclear diatomic molecules.
Assertion (A): Bond energy and bond dissociation energy have identical value for diatomic molecules.
Reason (R): Greater the bond dissociation energy, less reactive is the bond.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Explanation:
1. Bond dissociation energy is the energy required to break one mole of bonds of a particular type so as to separate them into gaseous atoms. Bond energy is the average value of dissociation energies of the same type of bond present in the molecule. In a diatomic molecule there is only one bond, so both are identical.
2. Bond energy of C—H bond in methane is 99.2 kcal/mol (average value). Thus, for polyatomic molecules, average bond energy is taken as the dissociation bond energy.
3. Hence, both Assertion and Reason are correct and Reason is not the correct explanation of Assertion.
Teacher's Note:
1. For polyatomic molecules successive dissociation energies differ, so an average bond energy is used.
2. A higher bond dissociation energy means a stronger, less reactive bond.
Assertion (A): Bond energy has order like C—C < C=C < C≡C
Reason (R): Bond energy increases with increase in bond order.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. With increase in bond order, bond length decreases and hence bond energy increases.
2. Bond orders are C—C (1) < C=C (2) < C≡C (3), so bond energies follow the same order.
3. So, both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. Approximate values: C—C 348, C=C 614 and C≡C 839 kJ mol−1.
2. Bond energy does not triple for a triple bond, because π bonds are weaker than σ bonds.
Assertion (A): The bond order of helium (He2) is zero.
Reason (R): The number of electrons in bonding molecular orbital and antibonding molecular orbital is equal.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. He2 = σ1s2 σ*1s2; bond order = \( \frac{1}{2}(2 - 2) = 0 \)
2. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Teacher's Note:
1. Equal bonding and antibonding electrons cancel each other’s effect, giving bond order zero.
2. That is why He2 does not exist as a stable molecule.
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Chapter 04 Chemical Bonding and Molecular Structure Objective Questions & Solutions for Class 11 Chemistry
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