JEE MAIN - Chemistry (2021 - 26th February Evening Shift - No. 1)

Match List - I with List - II.

List - I (Molecule) List - II (Bond order)
(a) $$N{e_2}$$ (i) 1
(b) $${N_2}$$ (ii) 2
(c) $${F_2}$$ (iii) 0
(d) $${O_2}$$ (iv) 3

Choose the correct answer from the options given below :
(a) $$ \to $$ (i), (b) $$ \to $$ (ii), (c) $$ \to $$ (iii), (d) $$ \to $$ (iv)
(a) $$ \to $$ (iv), (b) $$ \to $$ (iii), (c) $$ \to $$ (ii), (d) $$ \to $$ (i)
(a) $$ \to $$ (iii), (b) $$ \to $$ (iv), (c) $$ \to $$ (i), (d) $$ \to $$ (ii)
(a) $$ \to $$ (ii), (b) $$ \to $$ (i), (c) $$ \to $$ (iv), (d) $$ \to $$ (iii)

Explanation

Bond order $$ = {1 \over 2}$$ [Nb $$-$$ Na]

Nb = No of electrons in bonding molecular orbital

Na $$=$$ No of electrons in anti bonding molecular orbital

(4) $$\,\,\,\,$$ upto 14 electrons, molecular orbital configuration is

JEE Main 2021 (Online) 26th February Evening Shift Chemistry - Chemical Bonding & Molecular Structure Question 143 English Explanation 1

Here Na = Anti bonding electron $$=$$ 4 and Nb = 10

(5) $$\,\,\,\,$$ After 14 electrons to 20 electrons molecular orbital configuration is - - -

JEE Main 2021 (Online) 26th February Evening Shift Chemistry - Chemical Bonding & Molecular Structure Question 143 English Explanation 2

Here Na = 10

and Nb = 10

(a) Molecular orbital configuration of Ne2 (20 electrons) is

$${\sigma _{1{s^2}}}\,\,\sigma _{1{s^2}}^ * \,$$ $${\sigma _{2{s^2}}}\,\,\sigma _{2{s^2}}^ * \,$$ $${\sigma _{2p_z^2}}\,\,{\pi _{2p_x^2}} = {\pi _{2p_y^2}}\,\,\pi _{2p_x^2}^ * \,\, = \pi _{2p_y^2}^ * $$$$\sigma _{2p_z^2}^*$$

$$\therefore\,\,\,\,$$Na = 10

Nb = 10

$$\therefore\,\,\,\,$$ BO = $${1 \over 2}\left[ {10 - 10} \right] = 0$$

(Note : All inert gases has BO = 0 and it does not exist as molecule. Here Ne is also an inert gas.)

(b) Moleculer orbital configuration of $$N_2$$ (14 electrons) is

$${\sigma _{1{s^2}}}\,\sigma _{1{s^2}}^ * \,{\sigma _{2{s^2}}}\,\sigma _{2{s^2}}^ * \,{\pi _{2p_x^2}}\, = \,{\pi _{2p_y^2}}\,{\sigma _{2p_z^2}}$$

$$\therefore\,\,\,\,$$Na = 4

Nb = 10

$$\therefore\,\,\,\,$$ BO = $${1 \over 2}\left[ {10 - 4} \right] = 3$$

(d) Molecular orbital configuration of F2 (18 electrons) is

$${\sigma _{1{s^2}}}\,\,\sigma _{1{s^2}}^ * \,$$ $${\sigma _{2{s^2}}}\,\,\sigma _{2{s^2}}^ * \,$$ $${\sigma _{2p_z^2}}\,\,{\pi _{2p_x^2}} = {\pi _{2p_y^2}}\,\,\pi _{2p_x^2}^ * \,\, = \pi _{2p_y^2}^ * $$

$$\therefore\,\,\,\,$$Na = 8

Nb = 10

$$\therefore\,\,\,\,$$ BO = $${1 \over 2}\left[ {10 - 8} \right] = 1$$

(d) Molecular orbital configuration of O2 (16 electrons) is

$${\sigma _{1{s^2}}}\,\,\sigma _{1{s^2}}^ * \,$$ $${\sigma _{2{s^2}}}\,\,\sigma _{2{s^2}}^ * \,$$ $${\sigma _{2p_z^2}}\,\,{\pi _{2p_x^2}} = {\pi _{2p_y^2}}\,\,\pi _{2p_x^1}^ * \,\, = \pi _{2p_y^1}^ * $$

$$\therefore\,\,\,\,$$Na = 6

Nb = 10

$$\therefore\,\,\,\,$$ BO = $${1 \over 2}\left[ {10 - 6} \right] = 2$$

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