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QJEEM21Ch1a3f: JEE Main 2021 Chemistry - Class 12 JEEM21Ch1a3f Solution: Arrange the following metal complex/compounds in the increasing …

Arrange the following metal complex/compounds in the increasing order of spin only magnetic moment. Presume all the three, high spin system.

(Atomic numbers Ce = 58, Gd = 64 and Eu = 63)

(a) (NH4)2[Ce(NO3)6]

(b) Gd(NO3)3 and

(c) Eu(NO3)3

Multiple Choice Options

  • A (a) < (b) < (c)
  • B (b) < (a) < (c)
  • C (a) < (c) < (b)
  • D (c) < (a) < (b)

Step-by-Step Verified Solution

(A) 58Ce→[Xe]4f25d06s2{}_{58}Ce \to [Xe]4{f^2}5{d^0}6{s^2}

In complex Ce+4→[Xe]4f05d06s0C{e^{ + 4}} \to [Xe]4{f^0}5{d^0}6{s^0}

There is no unpaired electron, so, μ\mu m = 0 BM

(B) 64Gd→[Xe]4f75d16s2{}_{64}Gd \to [Xe]4{f^7}5{d^1}6{s^2}

In complex, 64Gd2+→[Xe]4f75d1{}_{64}G{d^{2 + }} \to [Xe]4{f^7}5{d^1}

There are 8 unpaired electrons.

∴\therefore μm=8(8+2)=80=8.94BM{\mu _m} = \sqrt {8(8 + 2)} = \sqrt {80} = 8.94BM

(C) 63Eu→[Xe]4f95d06s0{}_{63}Eu \to [Xe]4{f^9}5{d^0}6{s^0}

In complex 63Eu+3→[Xe]4f65d06s0{}_{63}E{u^{ + 3}} \to [Xe]4{f^6}5{d^0}6{s^0}

contain six unpaired electrons.

So, μm=6(6+2)=48BM=6.93BM{\mu _m} = \sqrt {6(6 + 2)} = \sqrt {48} BM = 6.93BM

Hence, order of spin only magnetic moment

B &gt; C &gt; A .

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