Chemical Bonding And Molecular Structure

Unit 4

Chemical Bonding And Molecular Structure

I. Multiple Choice Questions (Type-I)

1. Isostructural species are those which have the same shape and hybridisation.

Among the given species identify the isostructural pairs.

(i) $[NF_3.$ and $.BF_3]$

(ii) $[BF_4^{-}.$and $.NH_4^{+}]$

(iii) $\quad[BCl_3.$ and $.BrCl_3]$

(iv) $[NH_3.$ and $.NO_3^{-}]$

Show Answer Answer: (ii)

2. Polarity in a molecule and hence the dipole moment depends primarily on electronegativity of the constituent atoms and shape of a molecule. Which of the following has the highest dipole moment?

(i) $CO_2$

(ii) $HI$

(iii) $H_2 O$

(iv) $SO_2$

Show Answer Answer: (iii)

3. The types of hybrid orbitals of nitrogen in $NO_2^{+}, NO_3^{-}$and $NH_4^{+}$respectively are expected to be

(i) $s p, s p^{3}$ and $s p^{2}$

(ii) $s p, s p^{2}$ and $s p^{3}$

(iii) $s p^{2}, s p$ and $s p^{3}$

(iv) $s p^{2}, s p^{3}$ and $s p$

Show Answer Answer: (ii)

4. Hydrogen bonds are formed in many compounds e.g., $H_2 O, HF, NH_3$. The boiling point of such compounds depends to a large extent on the strength of hydrogen bond and the number of hydrogen bonds. The correct decreasing order of the boiling points of above compounds is :

(i) $HF>H_2 O>NH_3$

(ii) $H_2 O>HF>NH_3$

(iii) $NH_3>HF>H_2 O$

(iv) $NH_3>H_2 O>HF$

Show Answer Answer: (ii)

5. In $PO_4^{3-}$ ion the formal charge on the oxygen atom of $P-O$ bond is

(i) +1

(ii) -1

(iii) -0.75

(iv) +0.75

Show Answer Answer: (ii)

6. In $NO_3^{-}$ion, the number of bond pairs and lone pairs of electrons on nitrogen atom are

(i) 2,2

(ii) 3,1

(iii) 1,3

(iv) 4,0

Show Answer Answer: (iv)

7. Which of the following species has tetrahedral geometry?

(i) $BH_4^{-}$

(ii) $NH_2^{-}$

(iii) $CO_3^{2-}$

(iv) $H_3 O^{+}$

Show Answer Answer: (i)

8. Number of $\pi$ bonds and $\sigma$ bonds in the following structure is-

alt text

(i) 6,19

(ii) 4,20

(iii) 5,19

(iv) 5,20

Show Answer Answer: (iii)

9. Which molecule/ion out of the following does not contain unpaired electrons?

(i) $N_2^{+}$

(ii) $O_2$

(iii) $O_2^{2-}$

(iv) $B_2$

Show Answer Answer: (iii)

10. In which of the following molecule/ion all the bonds are not equal?

(i) $XeF_4$

(ii) $BF_4^{-}$

(iii) $C_2 H_4$

(iv) $SiF_4$

Show Answer Answer: (iii)

11. In which of the following substances will hydrogen bond be strongest?

(i) $HCl$

(ii) $H_2 O$

(iii) $HI$

(iv) $H_2 S$

Show Answer Answer: (ii)

12. If the electronic configuration of an element is $1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{2} 4 s^{2}$, the four electrons involved in chemical bond formation will be

(i) $3 p^{6}$

(ii) $3 p^{6}, 4 s^{2}$

(iii) $3 p^{6}, 3 d^{2}$

(iv) $3 d^{2}, 4 s^{2}$

Show Answer Answer: (iv)

13. Which of the following angle corresponds to $s p^{2}$ hybridisation?

(i) $90^{\circ}$

(ii) $120^{\circ}$

(iii) $180^{\circ}$

(iv) $109^{\circ}$

The electronic configurations of three elements, A, B and C are given below. Answer the questions 14 to 17 on the basis of these configurations.

$A$ $1 s^{2}$ $2 s^{2}$ $2 p^{6}$
$B$ $1 s^{2}$ $2 s^{2}$ $2 p^{6}$ $3 s^{2}$ $3 p^{3}$
$C$ $1 s^{2}$ $2 s^{2}$ $2 p^{6}$ $3 s^{2}$ $3 p^{5}$
Show Answer Answer: (ii)

14. Stable form of $\mathbf{A}$ may be represented by the formula :

(i) $A$

(ii) $A_2$

(iii) $A_3$

(iv) $A_4$

Show Answer Answer: (i)

15. Stable form of $\mathbf{C}$ may be represented by the formula :

(i) $C$

(ii) $C_2$

(iii) $C_3$

(iv) $C_4$

Show Answer Answer: (ii)

16. The molecular formula of the compound formed from $B$ and $C$ will be

(i) $BC$

(ii) $B_2 C$

(iii) $BC_2$

(iv) $BC_3$

Show Answer Answer: (iv)

17. The bond between $B$ and $C$ will be

(i) Ionic

(ii) Covalent

(iii) Hydrogen

(iv) Coordinate

Show Answer Answer: (ii)

18. Which of the following order of energies of molecular orbitals of $N_2$ is correct?

(i) $\left(\pi 2 p_y\right)<\left(\sigma 2 p_z\right)<\left(\pi^* 2 p_x\right) \approx\left(\pi^* 2 p_y\right)$

(ii) $\left(\pi 2 p_y\right)>\left(\sigma 2 p_z\right)>\left(\pi^* 2 p_x\right) \approx\left(\pi^* 2 p_y\right)$

(iii) $\left(\pi 2 p_y\right)<\left(\sigma 2 p_z\right)>\left(\pi^* 2 p_x\right) \approx\left(\pi^* 2 p_y\right)$

(iv) $\left(\pi 2 p_y\right)>\left(\sigma 2 p_z\right)<\left(\pi^* 2 p_x\right) \approx\left(\pi^* 2 p_y\right)$

Show Answer Answer: (i)

19. Which of the following statement is not correct from the view point of molecular orbital theory?

(i) $Be_2$ is not a stable molecule.

(ii) $He_2$ is not stable but $He_2^{+}$is expected to exist.

(iii) Bond strength of $N_2$ is maximum amongst the homonuclear diatomic molecules belonging to the second period.

(iv) The order of energies of molecular orbitals in $N_2$ molecule is

$\sigma 2s <\sigma^* 2 s <\sigma 2 p_z<\left(\pi 2 p_x=\pi 2 p_y\right)<\left(\pi^* 2 p_x=\pi^* 2 p_y \right)<\sigma^* 2p_z$

Show Answer Answer: (iv)

20. Which of the following options represents the correct bond order :

(i) $O_2^{-}>O_2>O_2^{+}$

(ii) $O_2^{-}<O_2<O_2^{+}$

(iii) $O_2^{-}>O_2<O_2^{+}$

(iv) $O_2^{-}<O_2>O_2^{+}$

Show Answer Answer: (ii)

21. The electronic configuration of the outer most shell of the most electronegative element is

(i) $2 s^{2} 2 p^{5}$

(ii) $3 s^{2} 3 p^{5}$

(iii) $4 s^{2} 4 p^{5}$

(iv) $5 s^{2} 5 p^{5}$

Show Answer Answer: (i)

22. Amongst the following elements whose electronic configurations are given below, the one having the highest ionisation enthalpy is

(i) $[Ne] 3 s^{2} 3 p^{1}$

(ii) $\quad[Ne] 3 s^{2} 3 p^{3}$

(iii) $[Ne] 3 s^{2} 3 p^{2}$

(iv) $[Ar] 3 d^{10} 4 s^{2} 4 p^{3}$

II. Multiple Choice Questions (Type-II)

In the following questions two or more options may be correct.

Show Answer

Answer: (ii)

II. Multiple Choice Questions (Type-II)

23. Which of the following have identical bond order?

(i) $CN^{-}$

(ii) $NO^{+}$

(iii) $O_2^{-}$

(iv) $O_2^{2-}$

Show Answer Answer: (i), (ii)

24. Which of the following attain the linear structure:

(i) $BeCl_2$

(ii) $NCO^{+}$

(iii) $NO_2$

(iv) $CS_2$

Show Answer Answer: (i), (iv)

25. $CO$ is isoelectronic with

(i) $NO^{+}$

(ii) $N_2$

(iii) $SnCl_2$

(iv) $NO_2^{-}$

Show Answer Answer: (i), (ii)

26. Which of the following species have the same shape?

(i) $CO_2$

(ii) $CCl_4$

(iii) $O_3$

(iv) $NO_2^{-}$

Show Answer Answer: (iii), (iv)

27. Which of the following statements are correct about $CO_3^{2-}$ ?

(i) The hybridisation of central atom is $s p^{3}$.

(ii) Its resonance structure has one $C-O$ single bond and two $C=O$ double bonds.

(iii) The average formal charge on each oxygen atom is 0.67 units.

(iv) All $C-O$ bond lengths are equal.

Show Answer Answer: (iii), (iv)

28. Dimagnetic species are those which contain no unpaired electrons. Which among the following are dimagnetic?

(i) $N_2$

(ii) $N_2^{2-}$

(iii) $O_2$

(iv) $O_2^{2-}$

Show Answer Answer: (i), (iv)

29. Species having same bond order are :

(i) $N_2$

(ii) $N_2^{-}$

(iii) $F_2^{+}$

(iv) $O_2^{-}$

Show Answer Answer: (iii), (iv)

30. Which of the following statements are not correct?

(i) $NaCl$ being an ionic compound is a good conductor of electricity in the solid state.

(ii) In canonical structures there is a difference in the arrangement of atoms.

(iii) Hybrid orbitals form stronger bonds than pure orbitals.

(iv) VSEPR Theory can explain the square planar geometry of $XeF_4$.

III. Short Answer Type

Show Answer

Answer: (i), (ii)

III. Short Answer Type

31. Explain the non linear shape of $H_2 S$ and non planar shape of $PCl_3$ using valence shell electron pair repulsion theory.

32. Using molecular orbital theory, compare the bond energy and magnetic character of $O_2^{+}$and $O_2^{-}$species.

Show Answer

Answer: (i) According to molecular orbital theory electronic configurations of $O_2^{+}$and $O_2^{-}$species are as follows :

$ \mathrm{O}_2^{+}:(\sigma 1 \mathrm{~s})^2\left(\dot{\sigma} 1 \mathrm{~s}^2\right)(\sigma 2 \mathrm{~s})^2\left(\dot{\sigma}^2 2 \mathrm{~s}^2\right)\left(\sigma 2 p_x\right)^2\left(\pi 2 p_x^2, \pi 2 p_y^2\right)\left(\pi^* 2 p_x^1\right) $

$ \mathrm{O}_2^{-}:(\sigma 1 \mathrm{~s})^2\left(\dot{\sigma}^2 1 \mathrm{~s}^2\right)(\sigma 2 \mathrm{~s})^2\left(\dot{\circ} 2 \mathrm{~s}^2\right)\left(\sigma 2 p_z\right)^2\left(\pi 2 p_x^2, \pi 2 p_y^2\right)\left(\pi^* 2 p_x^2, \pi^* 2 p_y^1\right)$

$ \text{ Bond order of } O_2^{+}=\frac{10-5}{2}=\frac{5}{2}=2.5 $

$ \text{ Bond order of } O_2^{-}=\frac{10-7}{2}=\frac{3}{2}=1.5$

Higher bond order of $O_2^{+}$shows that it is more stable than $O_2^{-}$. Both the species have unpaired electrons. So both are paramagnetic in nature.

33. Explain the shape of $BrF_5$.

34. Structures of molecules of two compounds are given below :

alt text

(a) Which of the two compounds will have intermolecular hydrogen bonding and which compound is expected to show intramolecular hydrogen bonding.

(b) The melting point of a compound depends on, among other things, the extent of hydrogen bonding. On this basis explain which of the above two compounds will show higher melting point.

(c) Solubility of compounds in water depends on power to form hydrogen bonds with water. Which of the above compounds will form hydrogen bond with water easily and be more soluble in it.

Show Answer

Answer: (a) Compound (I) will form intramolecular hydrogen bond because $NO_2$ and $OH$ group are close together in comparison to that in compound (II).

alt text

(b) Compound (II) will have higher melting point because it forms intermolecular hydrogen bonds. Thus, more and more molecules are joined together through hydrogen bond formation.

(c) Due to intramolecular hydrogen bonding compound (I) will not be able to form hydrogen bonds with water thus will be less soluble in it while compound (II) can form hydrogen bond with water more easily and will be soluble in water.

35. Why does type of overlap given in the following figure not result in bond formation?

36. Explain why $PCl_5$ is trigonal bipyramidal whereas $IF_5$ is square pyramidal.

37. In both water and dimethyl ether $(CH_3-\ddot{O}-CH_3)$, oxygen atom is central atom, and has the same hybridisation, yet they have different bond angles. Which one has greater bond angle? Give reason.

Show Answer

Answer: [Hint : Dimethyl ether will have larger bond angle. There will be more repulsion between bond pairs of $CH_3$ groups attached in ether than between bond pairs of hydrogen atoms attached to oxygen in water. The carbon of $CH_3$ in ether is attached to three hydrogen atoms through $\sigma$ bonds and electron pairs of these bonds add to the electronic charge density on carbon atom. Hence, repulsion between two $-CH_3$ groups will be more than that between two hydrogen atoms.]

IV. Matching Type

38. Write Lewis structure of the following compounds and show formal charge on each atom.

$HNO_3, NO_2, H_2 SO_4$

39. The energy of $\sigma 2 p_z$ molecular orbital is greater than $\pi 2 p_x$ and $\pi 2 p_y$ molecular orbitals in nitrogen molecule. Write the complete sequence of energy levels in the increasing order of energy in the molecule. Compare the relative stability and the magnetic behaviour of the following species :

$N_2, N_2^{+}, N_2^{-}, N_2^{2+}$

40. What is the effect of the following processes on the bond order in $N_2$ and $O_2$ ?

(i) $N_2 \to N_2^{+}+e^{-}$

(ii) $O_2 \to O_2^{+}+e^{-}$

41. Give reasons for the following:

(i) Covalent bonds are directional bonds while ionic bonds are nondirectional.

(ii) Water molecule has bent structure whereas carbon dioxide molecule is linear.

(iii) Ethyne molecule is linear.

42. What is an ionic bond? With two suitable examples explain the difference between an ionic and a covalent bond?

43. Arrange the following bonds in order of increasing ionic character giving reason.

$N-H, F-H, C-H$ and $O-H$

44. Explain why $CO_3^{2-}$ ion cannot be represented by a single Lewis structure. How can it be best represented?

45. Predict the hybridisation of each carbon in the molecule of organic compound given below. Also indicate the total number of sigma and pi bonds in this molecule.

46. Group the following as linear and non-linear molecules :

$H_2 O, HOCl, BeCl_2, Cl_2 O$

47. Elements $X, Y$ and $Z$ have 4,5 and 7 valence electrons respectively. (i) Write the molecular formula of the compounds formed by these elements individually with hydrogen. (ii) Which of these compounds will have the highest dipole moment?

48. Draw the resonating structure of

(i) Ozone molecule

(ii) Nitrate ion

49. Predict the shapes of the following molecules on the basis of hybridisation.

$BCl_3, CH_4, CO_2, NH_3$

50. All the $C-O$ bonds in carbonate ion $(CO_3^{2-})$ are equal in length. Explain.

51. What is meant by the term average bond enthalpy? Why is there difference in bond enthalpy of $O-H$ bond in ethanol $(C_2 H_5 OH)$ and water?

IV. Matching Type

52. Match the species in Column I with the type of hybrid orbitals in Column II.

Column I Column II
(i) $SF_4$ (a) $s p^{3} d^{2}$
(ii) $IF_5$ (b) $d^{2} s p^{3}$
(iii) $NO_2^{+}$ (c) $s p^{3} d$
(iv) $NH_4^{+}$ (d) $s p^{3}$
(e) $s p$
Show Answer Answer: (i) $\to$ (c) $\quad$ (ii) $\to$ (a) $\quad$ (iii) $\to$ (e) $\quad$ (iv) $\to$ (d)

53. Match the species in Column I with the geometry/shape in Column II.

Column I Column II
(i) $H_3 O^{+}$ (a) Linear
(ii) $HC \equiv CH$ (b) Angular
(iii) $ClO_2^{-}$ (c) Tetrahedral
(iv) $NH_4^{+}$ (d) Trigonal bipyramidal
(e) Pyramidal
Show Answer Answer: (i) $\to$ (e) $\quad$ (ii) $\to$ (a) $\quad$ (iii) $\to$ (b) $\quad$ (iv) $\to$ (c)

54. Match the species in Column I with the bond order in Column II.

Column I Column II
(i) $NO$ (a) 1.5
(ii) $CO$ (b) 2.0
(iii) $O_2^{-}$ (c) 2.5
(iv) $O_2$ (d) 3.0
Show Answer Answer: (i) $\to$ (c) $\quad$ (ii) $\to$ (d) $\quad$ (iii) $\to$ (a) $\quad$ (iv) $\to$ (b)

55. Match the items given in Column I with examples given in Column II.

Column I Column II
(i) Hydrogen bond (a) $C$
(ii) Resonance (b) $LiF$
(iii) Ionic solid (c) $H_2$
(iv) Covalent solid (d) $HF$
(e) $O_3$
Show Answer Answer: (i) $\to$ (d) $\quad$ (ii) $\to$ (e) $\quad$ (iii) $\to$ (b) $\quad$ (iv) $\to$ (a)

56. Match the shape of molecules in Column I with the type of hybridisation in Column II.

Column I Column II
(i) Tetrahedral (a) $s p^{2}$
(ii) Trigonal (b) $s p$
(iii) Linear (c) $s p^{3}$

V. Assertion and Reason Type

In the following questions a statement of Assertion (A) followed by a statement of Reason (R) is given. Choose the correct option out of the choices given below each question.

Show Answer

Answer: (i) $\to$ (c) $\quad$ (ii) $\to$ (a) $\quad$ (iii) $\to$ (b)

V. Assertion and Reason Type

57. 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.

(i) A and $R$ both are correct, and $R$ is the correct explanation of $A$.

(ii) $A$ and $R$ both are correct, but $R$ is not the correct explanation of $A$.

(iii) $A$ is true but $R$ is false.

(iv) $A$ and $R$ both are false.

58. Assertion (A) : Though the central atom of both $NH_3$ and $H_2 O$ molecules are $s p^{3}$ 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.

(i) $A$ and $R$ both are correct, and $R$ is the correct explanation of $A$.

(ii) $A$ and $R$ both are correct, but $R$ is not the correct explanation of $A$.

(iii) $A$ is true but $R$ is false.

(iv) $A$ and $R$ both are false.

59. Assertion (A): Among the two $O-H$ bonds in $H_2 O$ molecule, the energy required to break the first $O-H$ bond and the other $O-H$ bond is the same.

Reason (R) : This is because the electronic environment around oxygen is the same even after breakage of one $O-H$ bond.

(i) $A$ and $R$ both are correct, and $R$ is correct explanation of $A$.

(ii) $A$ and $R$ both are correct, but $R$ is not the correct explanation of $A$.

(iii) $A$ is true but $R$ is false.

(iv) $A$ and $R$ both are false.

VI. Long Answer Type

60. (i) Discuss the significance/ applications of dipole moment.

(ii) Represent diagrammatically the bond moments and the resultant dipole moment in $CO_2, NF_3$ and $CHCl_3$.

61. Use the molecular orbital energy level diagram to show that $N_2$ would be expected to have a triple bond, $F_2$, a single bond and $Ne_2$, no bond.

62. Briefly describe the valence bond theory of covalent bond formation by taking an example of hydrogen. How can you interpret energy changes taking place in the formation of dihydrogen?

63. Describe hybridisation in the case of $PCl_5$ and $SF_6$. The axial bonds are longer as compared to equatorial bonds in $PCl_5$ whereas in $SF_6$ both axial bonds and equatorial bonds have the same bond length. Explain.

64. (i) Discuss the concept of hybridisation. What are its different types in a carbon atom. (ii) What is the type of hybridisation of carbon atoms marked with star.

(d) $\stackrel{*}{C} H_3-CH=CH-CH_3$

(e) $CH_3-\stackrel{*}{C} \equiv CH$

Comprehension given below is followed by some multiple choice questions. Each question has one correct option. Choose the correct option.

Molecular orbitals are formed by the overlap of atomic orbitals. Two atomic orbitals combine to form two molecular orbitals called bonding molecular orbital (BMO) and anti bonding molecular orbital (ABMO). Energy of anti bonding orbital is raised above the parent atomic orbitals that have combined and the energy of the bonding orbital is lowered than the parent atomic orbitals. Energies of various molecular orbitals for elements hydrogen to nitrogen increase in the order: $\sigma 1 s<\sigma^* 1 s<\sigma 2 s<\sigma^* 2 \mathrm{~s}<\left(\pi 2 p_x \approx \pi 2 p_y\right)<\sigma 2 p_z<\left(\pi^* 2 p_x \approx \pi^* 2 p_y\right)<\sigma^* 2 p_z$ and for oxygen and fluorine order of energy of molecular orbitals is given below : $\sigma 1 \mathrm{~s}<\sigma^* 1 \mathrm{~s}<\sigma 2 \mathrm{~s}<\sigma^* 2 \mathrm{~s}<\sigma 2 p_{\mathrm{z}}<\left(\pi 2 p_x \simeq \pi 2 p_y\right)<\left(\pi^* 2 p_x \simeq \pi^* 2 p_y\right)<\sigma^* 2 p_z$ Different atomic orbitals of one atom combine with those atomic orbitals of the second atom which have comparable energies and proper orientation. Further, if the overlapping is head on, the molecular orbital is called ‘Sigma’, $(\sigma)$ and if the overlap is lateral, the molecular orbital is called ‘pi’, $(\pi)$. The molecular orbitals are filled with electrons according to the same rules as followed for filling of atomic orbitals. However, the order for filling is not the same for all molecules or their ions. Bond order is one of the most important parameters to compare the strength of bonds.

65. Which of the following statements is correct?

(i) In the formation of dioxygen from oxygen atoms 10 molecular orbitals will be formed.

(ii) All the molecular orbitals in the dioxygen will be completely filled.

(iii) Total number of bonding molecular orbitals will not be same as total number of anti bonding orbitals in dioxygen.

(iv) Number of filled bonding orbitals will be same as number of filled anti bonding orbitals.

Show Answer Answer: (i)

66. Which of the following molecular orbitals has maximum number of nodal planes?

(i) $\sigma^{*} 1 s$

(ii) $\sigma^{*} 2 p_z$

(iii) $\pi 2 p_x$

(iv) $\pi^{*} 2 p_y$

Show Answer Answer: (ii)

67. Which of the following pair is expected to have the same bond order?

(i) $O_2, N_2$

(ii) $O_2^{+}, N_2^{-}$

(iii) $O_2^{-}, N_2^{+}$

(iv) $O_2^{-}, N_2^{-}$

Show Answer Answer: (ii)

68. In which of the following molecules, $\sigma 2 p_z$ molecular orbital is filled after $\pi 2 p_x$ and $\pi 2 p_y$ molecular orbitals?

(i) $O_2$

(ii) $Ne_2$

(iii) $N_2$

(iv) $F_2$

Show Answer Answer: (iii)


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