JEE Chemistry Chemical Bonding and Molecular Structure MCQs Set 39

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Chapter-wise Objective Questions: Chemical Bonding and Molecular Structure

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Multiple Choice Questions

Question 1: \( \ce{N2} \) has a greater bond dissociation energy than \( \ce{N2^+} \), whereas \( \ce{O2} \) has a lower one than \( \ce{O2^+} \), because
(a) the bond order increases when \( \ce{N2} \) ionises and decreases when \( \ce{O2} \) ionises
(b) the bond order decreases in both ionisations
(c) the bond order decreases when \( \ce{N2} \) ionises to \( \ce{N2^+} \) and increases when \( \ce{O2} \) ionises to \( \ce{O2^+} \)
(d) the bond order increases in both ionisations
Show Answer & Explanation

Answer: (c) the bond order decreases when \( \ce{N2} \) ionises to \( \ce{N2^+} \) and increases when \( \ce{O2} \) ionises to \( \ce{O2^+} \)

Explanation:
1. Ionisation removes a bonding electron from \( \ce{N2} \) (order 3 to 2.5) but an antibonding electron from \( \ce{O2} \) (order 2 to 2.5).
2. Only option (c) agrees with this working.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 2: The order of boiling points of K, Ca and Sc is
(a) K > Ca > Sc
(b) Ca > K > Sc
(c) Sc > Ca > K
(d) K > Sc > Ca
Show Answer & Explanation

Answer: (c) Sc > Ca > K

Explanation:
1. Boiling is a better guide to metallic bond strength than melting
2. More valence electrons (d electrons for Sc) and smaller atoms give stronger bonding, so the boiling points are about 2836 K for Sc, 1757 K for Ca and 1032 K for K.

Teacher's Note:
1. Find the number of bond pairs and lone pairs on the central atom to get the electron geometry and hybridisation, then the shape. Bond energy and magnetism follow from the bond order and unpaired electrons.

Question 3: The orders of boiling point and melting point of Zn, Cd and Hg respectively are
(a) Zn > Cd > Hg for both
(b) Hg > Cd > Zn for both
(c) Hg > Cd > Zn and Zn > Cd > Hg
(d) Zn > Cd > Hg and Hg > Cd > Zn
Show Answer & Explanation

Answer: (a) Zn > Cd > Hg for both

Explanation:
1. Metallic bonding weakens from Zn to Hg because the filled d subshell contributes less and the atoms are larger
2. Boiling points are 1180, 1040 and 630 K, and melting points are 693, 594 and 234 K. Mercury is the lowest in both.

Teacher's Note:
1. Find the number of bond pairs and lone pairs on the central atom to get the electron geometry and hybridisation, then the shape. Bond energy and magnetism follow from the bond order and unpaired electrons.

Question 4: All of the following metals usually have low melting points EXCEPT
(a) caesium
(b) gallium
(c) mercury
(d) gold
Show Answer & Explanation

Answer: (d) gold

Explanation:
1. Caesium (302 K), gallium (303 K) and mercury (234 K) all melt near or below room temperature
2. Gold, a d-block metal with strong bonding, melts at 1337 K.

Teacher's Note:
1. Find the number of bond pairs and lone pairs on the central atom to get the electron geometry and hybridisation, then the shape. Bond energy and magnetism follow from the bond order and unpaired electrons.

Question 5: Which physical properties can be explained by the electron-sea model?
(a) electrical conduction only
(b) all of these: electrical conduction, thermal conduction and malleability
(c) thermal conduction only
(d) malleability only
Show Answer & Explanation

Answer: (b) all of these: electrical conduction, thermal conduction and malleability

Explanation:
1. The mobile electrons carry charge and heat
2. When layers of ions slide over one another the electron sea readjusts, so the metal deforms without breaking.

Teacher's Note:
1. Find the number of bond pairs and lone pairs on the central atom to get the electron geometry and hybridisation, then the shape. Bond energy and magnetism follow from the bond order and unpaired electrons.

Question 6: Table: (I) \( \ce{B2} \), (II) \( \ce{O2} \), (III) \( \ce{F2} \), (IV) \( \ce{C2} \) with bond orders (i) 2, (ii) 2.5, (iii) 1, (iv) 3 and properties (P) diamagnetic, (Q) s-p mixing occurs, (R) paramagnetic, (S) HOMO is a bonding MO. Which combination is correct for a diamagnetic species?
(a) (III), (i), (P)
(b) (IV), (ii), (R)
(c) (III), (iii), (Q)
(d) (IV), (i), (S)
Show Answer & Explanation

Answer: (d) (IV), (i), (S)

Explanation:
1. \( \ce{C2} \) has bond order 2, all electrons paired, and its HOMO is the bonding pi 2p set, so (IV), (i), (S) is correct
2. \( \ce{F2} \) has order 1, not 2, and no s-p mixing.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 7: Table: (I) \( \ce{B2} \), (II) \( \ce{O2} \), (III) \( \ce{F2} \), (IV) \( \ce{C2} \) with bond orders (i) 2, (ii) 2.5, (iii) 1, (iv) 3 and properties (P) diamagnetic, (Q) s-p mixing occurs, (R) paramagnetic, (S) HOMO is a bonding MO. Which combination is correct?
(a) (I), (iii), (R)
(b) (III), (ii), (S)
(c) (III), (iii), (Q)
(d) (II), (ii), (P)
Show Answer & Explanation

Answer: (a) (I), (iii), (R)

Explanation:
1. \( \ce{B2} \) has bond order 1 and two unpaired electrons, so it is paramagnetic, which matches (I), (iii), (R)
2. \( \ce{F2} \) has order 1 (not 2.5), no s-p mixing, and \( \ce{O2} \) has order 2 and is paramagnetic.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 8: Which of the following molecular species has unpaired electron(s)?
(a) \( \ce{N2} \)
(b) \( \ce{F2} \)
(c) \( \ce{O2^-} \)
(d) \( \ce{O2^2-} \)
Show Answer & Explanation

Answer: (c) \( \ce{O2^-} \)

Explanation:
1. \( \ce{O2^-} \) has 17 electrons and one unpaired electron in a pi* orbital
2. \( \ce{N2} \), \( \ce{F2} \) and \( \ce{O2^2-} \) have all electrons paired.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 9: According to molecular orbital theory, which statement about \( \ce{O2^+} \) is correct?
(a) It is paramagnetic and has a lower bond order than \( \ce{O2} \)
(b) It is diamagnetic and has a lower bond order than \( \ce{O2} \)
(c) It is paramagnetic and has a higher bond order than \( \ce{O2} \)
(d) It is diamagnetic and has a higher bond order than \( \ce{O2} \)
Show Answer & Explanation

Answer: (c) It is paramagnetic and has a higher bond order than \( \ce{O2} \)

Explanation:
1. \( \ce{O2^+} \) has 15 valence electrons with one unpaired electron (paramagnetic)
2. Its bond order is 2.5, higher than the 2 of \( \ce{O2} \).

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 10: The species with a bond order different from that of CO is
(a) \( \ce{NO^-} \)
(b) \( \ce{NO^+} \)
(c) \( \ce{CN^-} \)
(d) \( \ce{N2} \)
Show Answer & Explanation

Answer: (a) \( \ce{NO^-} \)

Explanation:
1. \( \ce{CO} \), \( \ce{NO^+} \), \( \ce{CN^-} \) and \( \ce{N2} \) are isoelectronic with 10 valence electrons and bond order 3
2. \( \ce{NO^-} \) has 16 valence electrons and bond order 2.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 11: Assuming 2s-2p mixing is NOT operative, the paramagnetic species among \( \ce{Be2} \), \( \ce{B2} \), \( \ce{C2} \) and \( \ce{N2} \) is
(a) \( \ce{B2} \)
(b) \( \ce{C2} \)
(c) \( \ce{Be2} \)
(d) \( \ce{N2} \)
Show Answer & Explanation

Answer: (b) \( \ce{C2} \)

Explanation:
1. Without mixing the order is sigma 2pz below pi 2p
2. \( \ce{B2} \) has 6 valence electrons: sigma 2s2, sigma* 2s2 and sigma 2pz2, all paired, so it is diamagnetic
3. \( \ce{C2} \) has 8: after sigma 2pz2 the last two electrons enter separate pi orbitals, so it has two unpaired electrons
4. \( \ce{Be2} \) and \( \ce{N2} \) are diamagnetic.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 12: According to molecular orbital theory, which statements are correct? (A) \( \ce{C2^2-} \) is expected to be diamagnetic. (B) \( \ce{O2^2+} \) is expected to have a longer bond length than \( \ce{O2} \). (C) \( \ce{N2^+} \) and \( \ce{N2^-} \) have the same bond order. (D) \( \ce{He2^+} \) has the same energy as two isolated He atoms.
(a) B and D only
(b) A and C only
(c) A and B only
(d) C and D only
Show Answer & Explanation

Answer: (b) A and C only

Explanation:
1. \( \ce{C2^2-} \) has all electrons paired
2. \( \ce{O2^2+} \) has order 3, a shorter bond than \( \ce{O2} \)
3. \( \ce{N2^+} \) and \( \ce{N2^-} \) both have order 2.5
4. \( \ce{He2^+} \) (order 0.5) is lower in energy than \( \ce{He} \) + \( \ce{He^+} \).

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 13: The increasing order of bond strength of \( \ce{O2} \), \( \ce{O2^-} \), \( \ce{O2^2-} \) and \( \ce{O2^+} \) is
(a) \( \ce{O2^+} \) < \( \ce{O2} \) < \( \ce{O2^-} \) < \( \ce{O2^2-} \)
(b) \( \ce{O2} \) < \( \ce{O2^+} \) < \( \ce{O2^-} \) < \( \ce{O2^2-} \)
(c) \( \ce{O2^-} \) < \( \ce{O2^2-} \) < \( \ce{O2^+} \) < \( \ce{O2} \)
(d) \( \ce{O2^2-} \) < \( \ce{O2^-} \) < \( \ce{O2} \) < \( \ce{O2^+} \)
Show Answer & Explanation

Answer: (d) \( \ce{O2^2-} \) < \( \ce{O2^-} \) < \( \ce{O2} \) < \( \ce{O2^+} \)

Explanation:
1. The bond orders are 1 for \( \ce{O2^2-} \), 1.5 for \( \ce{O2^-} \), 2 for \( \ce{O2} \) and 2.5 for \( \ce{O2^+} \), and bond strength increases with bond order.
2. Only option (d) agrees with this working.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 14: The bond order in \( \ce{NO} \) is 2.5 and in \( \ce{NO^+} \) is 3. Which statement is true for these species?
(a) the bond length in \( \ce{NO} \) is greater than in \( \ce{NO^+} \)
(b) the bond length in \( \ce{NO^+} \) is greater than in \( \ce{NO} \)
(c) the bond lengths are equal
(d) the bond length is unpredictable
Show Answer & Explanation

Answer: (a) the bond length in \( \ce{NO} \) is greater than in \( \ce{NO^+} \)

Explanation:
1. \( \ce{NO^+} \) has a higher bond order, since the antibonding electron of \( \ce{NO} \) is lost on ionisation, so its bond is shorter (106 pm against 115 pm).
2. Only option (a) agrees with this working.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 15: Which one of the following species is diamagnetic?
(a) \( \ce{He2^+} \)
(b) \( \ce{H2^+} \)
(c) \( \ce{H2} \)
(d) \( \ce{H2^-} \)
Show Answer & Explanation

Answer: (c) \( \ce{H2} \)

Explanation:
1. \( \ce{H2} \) has two electrons paired in sigma 1s
2. \( \ce{He2^+} \) (3 electrons), \( \ce{H2^+} \) (1 electron) and \( \ce{H2^-} \) (3 electrons) each have an unpaired electron.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 16: In which ionisation has the bond order increased and the magnetic behaviour changed?
(a) \( \ce{NO -> NO^+} \)
(b) \( \ce{O2 -> O2^+} \)
(c) \( \ce{N2 -> N2^+} \)
(d) \( \ce{C2 -> C2^+} \)
Show Answer & Explanation

Answer: (a) \( \ce{NO -> NO^+} \)

Explanation:
1. \( \ce{NO} \) (order 2.5, paramagnetic) becomes \( \ce{NO^+} \) (order 3, diamagnetic)
2. \( \ce{O2} \) to \( \ce{O2^+} \) increases the order but stays paramagnetic
3. \( \ce{N2} \) and \( \ce{C2} \) lose bonding electrons, so their orders fall.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 17: Which pair of species has the same bond order?
(a) \( \ce{CN^-} \) and \( \ce{CN^+} \)
(b) \( \ce{O2^-} \) and \( \ce{CN^-} \)
(c) \( \ce{NO^+} \) and \( \ce{CN^+} \)
(d) \( \ce{CN^-} \) and \( \ce{NO^+} \)
Show Answer & Explanation

Answer: (d) \( \ce{CN^-} \) and \( \ce{NO^+} \)

Explanation:
1. \( \ce{CN^-} \) and \( \ce{NO^+} \) each have 10 valence electrons with bond order 3
2. \( \ce{CN^+} \) has 8 (order 2), and \( \ce{O2^-} \) has 1.5.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 18: Using MO theory, which species has the shortest bond length?
(a) \( \ce{O2^+} \)
(b) \( \ce{O2^2+} \)
(c) \( \ce{O2^-} \)
(d) \( \ce{O2^2-} \)
Show Answer & Explanation

Answer: (b) \( \ce{O2^2+} \)

Explanation:
1. \( \ce{O2^2+} \) has 14 valence electrons like \( \ce{N2} \) and so bond order 3, the highest of the four, so its bond is the shortest.
2. Only option (b) agrees with this working.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 19: Which of \( \ce{C2} \), \( \ce{N2} \), \( \ce{O2} \) and \( \ce{S2} \) are diamagnetic?
(a) \( \ce{N2} \) and \( \ce{O2} \) only
(b) \( \ce{C2} \) and \( \ce{N2} \) only
(c) \( \ce{C2} \) and \( \ce{S2} \) only
(d) \( \ce{O2} \) and \( \ce{S2} \) only
Show Answer & Explanation

Answer: (b) \( \ce{C2} \) and \( \ce{N2} \) only

Explanation:
1. \( \ce{C2} \) (all electrons paired in pi orbitals) and \( \ce{N2} \) are diamagnetic
2. \( \ce{O2} \) and its heavier analogue \( \ce{S2} \) have two unpaired electrons in pi* orbitals and are paramagnetic.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 20: In which pair are both species unlikely to exist?
(a) \( \ce{H2^+} \) and \( \ce{He2^2-} \)
(b) \( \ce{H2^-} \) and \( \ce{He2^2-} \)
(c) \( \ce{H2^-} \) and \( \ce{He2^2+} \)
(d) \( \ce{H2^2+} \) and \( \ce{He2} \)
Show Answer & Explanation

Answer: (d) \( \ce{H2^2+} \) and \( \ce{He2} \)

Explanation:
1. \( \ce{H2^2+} \) has no electrons and \( \ce{He2} \) has equal bonding and antibonding electrons (order 0), so neither exists
2. The other pairs each contain a species with a positive bond order such as \( \ce{H2^+} \) (0.5) or \( \ce{He2^2+} \) (1).

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 21: Which of the following species is NOT paramagnetic?
(a) \( \ce{O2} \)
(b) \( \ce{B2} \)
(c) \( \ce{CO} \)
(d) \( \ce{NO} \)
Show Answer & Explanation

Answer: (c) \( \ce{CO} \)

Explanation:
1. \( \ce{CO} \) has 10 valence electrons, all paired
2. \( \ce{O2} \) and \( \ce{B2} \) each have two unpaired electrons and \( \ce{NO} \) has one.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 22: The correct order of bond dissociation energy among \( \ce{N2} \), \( \ce{O2} \) and \( \ce{O2^-} \) is
(a) \( \ce{N2} \) > \( \ce{O2^-} \) > \( \ce{O2} \)
(b) \( \ce{O2^-} \) > \( \ce{O2} \) > \( \ce{N2} \)
(c) \( \ce{N2} \) > \( \ce{O2} \) > \( \ce{O2^-} \)
(d) \( \ce{O2} \) > \( \ce{O2^-} \) > \( \ce{N2} \)
Show Answer & Explanation

Answer: (c) \( \ce{N2} \) > \( \ce{O2} \) > \( \ce{O2^-} \)

Explanation:
1. The bond orders are 3, 2 and 1.5 respectively, so the dissociation energies fall in the order \( \ce{N2} \) (942 kJ per mole), \( \ce{O2} \) (498) and \( \ce{O2^-} \) (about 395).
2. Only option (c) agrees with this working.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 23: Which of the following molecules is paramagnetic?
(a) \( \ce{NO} \)
(b) \( \ce{N2} \)
(c) \( \ce{CO} \)
(d) \( \ce{O3} \)
Show Answer & Explanation

Answer: (a) \( \ce{NO} \)

Explanation:
1. \( \ce{NO} \) has 11 valence electrons and so one unpaired electron
2. \( \ce{N2} \), \( \ce{CO} \) and \( \ce{O3} \) have all electrons paired.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 24: Assertion: in the bonding MO of \( \ce{H2} \) the electron density is increased between the nuclei. Reason: the bonding MO is A + B, which shows destructive interference of the combining waves. Which option is correct?
(a) Assertion is incorrect, reason is correct
(b) Both are correct, but the reason is not the explanation
(c) Both are correct and the reason explains the assertion
(d) Assertion is correct, reason is incorrect
Show Answer & Explanation

Answer: (d) Assertion is correct, reason is incorrect

Explanation:
1. The bonding MO (psi A + psi B) arises from constructive interference of the two waves, which piles up electron density between the nuclei
2. So the assertion is right but the reason (destructive interference) is wrong.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 25: According to MO theory, which statement is true for \( \ce{Li2^+} \) and \( \ce{Li2^-} \)?
(a) \( \ce{Li2^+} \) is stable and \( \ce{Li2^-} \) is unstable
(b) both are stable
(c) \( \ce{Li2^+} \) is unstable and \( \ce{Li2^-} \) is stable
(d) both are unstable
Show Answer & Explanation

Answer: (b) both are stable

Explanation:
1. \( \ce{Li2^+} \) has 5 electrons (sigma 2s1) and \( \ce{Li2^-} \) has 7 (sigma 2s2 sigma* 2s1), so each has bond order (2-1)/2 = 0.5 or (1-0)/2 = 0.5
2. Both orders are positive, so both can exist as weakly bound species.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

Question 26: Two pi bonds and half a sigma bond are present in
(a) \( \ce{O2} \)
(b) \( \ce{N2^+} \)
(c) \( \ce{O2^+} \)
(d) \( \ce{N2} \)
Show Answer & Explanation

Answer: (b) \( \ce{N2^+} \)

Explanation:
1. \( \ce{N2^+} \) has 4 electrons in two pi orbitals (two pi bonds) and one electron in the sigma 2p orbital (half a sigma bond)
2. \( \ce{N2} \) has a full sigma bond
3. In \( \ce{O2} \) and \( \ce{O2^+} \) the pi* electrons reduce the pi bonding.

Teacher's Note:
1. Draw the Lewis structure first: count valence electrons, join atoms, fill octets, then use multiple bonds. Bond order in resonance hybrids is the total number of bonds divided by the number of equivalent positions.

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