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QJEEM05Ch734f: JEE Main 2005 Chemistry - Class 11 JEEM05Ch734f Solution: In which of the following arrangements the order is NOT…

In which of the following arrangements the order is NOT according to the property indicated against it?

Multiple Choice Options

  • A Li < Na < K < Rb Increasing metallic radius
  • B I < Br < F < Cl Increasing electron gain enthalpy (with negative sign)
  • C B < C < N < O Increasing first ionization enthalpy
  • D Al3+ < Mg2+ < Na+ < F- Increasing ionic size

Step-by-Step Verified Solution

(a)     \left( a \right)\,\,\,\,\, It is True.

Here Li,Na,KLi, Na, K and RbRb all are belongs to the same group, so their effective nuclear charge is same but in a group from top to bottom the no. of shells increase in a atom. So the radius of atom increases.

(b)     \left( b \right)\,\,\,\,\, It is True.

In entire periodic table ClCl (chlorine) has the highest, and in a group it decreases from top to bottom.

So the correct order is {\rm I} &lt; Br &lt; F &lt; Cl.

Note : Among F and Cl, when an electron is added to the F atom, electron comes to the 2p orbital and for Cl atom electron is added in 3p orbital. As 2p orbital is closer to the nucleus than 3p orbital as 3p orbital is larger in size, so when a new electron comes to 2p orbital then it will face a strong repulsion force by the nucleus than if electron comes to 3p orbital.

So, F have lesser tendency of gaining electron than Cl.

(c)     \left( c \right)\,\,\,\,\, It is False.

Electronic configuration of

B(5)   =   1s22s22p1B\left( 5 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^1}

C(6)   =   1s22s22p2C\left( 6 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^2}

N(7)   =   1s22s22p3N\left( 7 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^3}

O(8)   =   1s22s22p4O\left( 8 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^4}

In general in periodic table from left to right effective nuclear change increase and it becomes more difficult to remove electron from an atom. That is why ionization enthalpy increases.

But for those atoms which has half filled or full filled outer most shell, those atoms will be more stable and more energy is needed to remove electron from those atoms. Here N(1s2 2s2 2p3)N\left( {1{s^2}\,2{s^2}\,2{p^3}} \right) has stable half filled 2p2p subshell so it is more stable than O.O.

So, correct order is B &lt; C &lt; O &lt; N

(d)     \left( d \right)\,\,\,\,\, It is True.

Al3+,Mg2+,Na+  A{l^{3 + }},M{g^{2 + }},N{a^ + }\,\, and

  F−\,\,{F^ - } are isoelectric.

So all have 1010 electrons. So,

  Ze  \,\,{Z \over e}\,\, of Al3+=1310=1.3A{l^{3 + }} = {{13} \over {10}} = 1.3

  Ze  \,\,{Z \over e}\,\, of Mg2+=1210=1.2M{g^{2 + }} = {{12} \over {10}} = 1.2

  Ze  \,\,{Z \over e}\,\, of Na+=1110=1.1N{a^ + } = {{11} \over {10}} = 1.1

  Ze  \,\,{Z \over e}\,\, of F−=910=0.9{F^ - } = {9 \over {10}} = 0.9

We know ze{z \over e} means zz no of protons in nucleus is pulling ee no. of electrons present in the orbital.

So for Al3+, 13A{l^{3 + }},\,13 protons is pulling 1010 electron so the size of Al3+A{l^{3 + }} will decrease most. That is why more ze{z \over e} means less size of ion.

So, the correct order is

A{l^{3 + }} &lt; M{g^{2 + }} &lt; N{a^ + } &lt; {F^ - }

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