Question 5

MCQMEDIUM

Regarding the molecular orbital (MO) energy levels for homonuclear diatomic molecules, the INCORRECT statement(s) is(are)

(A)

Bond order of Ne2Ne_2 is zero.

(B)

The highest occupied molecular orbital (HOMO) of F2F_2 is σ\sigma-type.

(C)

Bond energy of O2+O_2^+ is smaller than the bond energy of O2O_2.

(D)

Bond length of Li2Li_2 is larger than the bond length of B2B_2.

Detailed Solution

Analyze each statement: (A) Ne2Ne_2 has 20 electrons. Configuration: σ1s2,σ∗1s2,σ2s2,σ∗2s2,σ2pz2,π2px2,π2py2,π∗2px2,π∗2py2,σ∗2pz2\sigma 1s^2, \sigma^* 1s^2, \sigma 2s^2, \sigma^* 2s^2, \sigma 2p_z^2, \pi 2p_x^2, \pi 2p_y^2, \pi^* 2p_x^2, \pi^* 2p_y^2, \sigma^* 2p_z^2. Bonding electrons = 10, Antibonding = 10. Bond order = (10−10)/2=0(10-10)/2 = 0. This is a correct statement. (B) F2F_2 has 18 electrons. The configuration ends in ...π∗2px2,π∗2py2... \pi^* 2p_x^2, \pi^* 2p_y^2. The HOMO is a π∗\pi^* orbital, not a σ\sigma orbital. This statement is INCORRECT. (C) O2O_2 has a bond order of 2. O2+O_2^+ is formed by removing an electron from an antibonding π∗\pi^* orbital, increasing the bond order to 2.5. Higher bond order implies higher bond energy. Thus, bond energy of O2+O_2^+ is greater than O2O_2. This statement is INCORRECT. (D) Li2Li_2 and B2B_2 both have a bond order of 1. However, LiLi (atomic number 3) has a significantly larger atomic radius than BB (atomic number 5) due to periodic trends. Consequently, the bond length of Li2Li_2 (~267 pm) is larger than B2B_2 (~159 pm). This is a correct statement. The question asks for INCORRECT statements, which are (B) and (C).

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