JEE Advance - Chemistry (2022 - Paper 2 Online - No. 5)

Thermal decomposition of $\mathrm{AgNO}_{3}$ produces two paramagnetic gases. The total number of electrons present in the antibonding molecular orbitals of the gas that has the higher number of unpaired electrons is ____________.
Answer
6

Explanation

$$ 2 \mathrm{AgNO}_3(\mathrm{~s}) \stackrel{\Delta}{\longrightarrow} 2 \mathrm{Ag}(\mathrm{s})+2 \mathrm{NO}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) $$

Both the $\mathrm{NO}_2$ and $\mathrm{O}_2$ gases are paramagnetic. $\mathrm{NO}_2(\mathrm{~g})$ has 1 unpaired electron and $\mathrm{O}_2(\mathrm{~g})$ has 2 unpaired electrons.

According to MOT,

$$\therefore\,\,\,\,$$ 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 = Anti bonding electrons = 6

Nb = 10

Note :

Nb = Number of electrons in bonding molecular orbital

Na $$=$$ Number of electrons in anti bonding molecular orbital

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

JEE Advanced 2022 Paper 2 Online Chemistry - d and f Block Elements Question 3 English Explanation 1

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

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

JEE Advanced 2022 Paper 2 Online Chemistry - d and f Block Elements Question 3 English Explanation 2

Here Na = 10

and Nb = 10

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