Structure Of Atom Question 5

Question 5 - 25 January - Shift 1

How many of the following metal ions have similar value of spin only magnetic moment in gaseous state?___________

(Given: Atomic number : V, 23 ; Cr, 24 ; Fe, 26 ; $Ni, 28)$

$V^{3+} \cdot Cr^{3+}, Fe^{2+}, Ni^{3+}$

Show Answer

Answer: (2)

Solution:

$\mu_s=\sqrt{n}(n+2) B M \quad(n=n o$. of unpaired electrons $)$

$\hspace{3cm}$ n

$V^{3+}:[Ar] 3 d^{2} 4 s^{0} \quad 2$

$Cr^{3+}:[Ar] 3 d^{3} 4 s^{0} \quad 3$

$Fe^{2+}:[Ar] 3 d^{6} 4 s^{0} \quad 4$

$Ni^{3+}:[Ar] 3 d^{7} 4 s^{0} \quad 3$

$Cr^{3+} \& Ni^{3+}$ have same value of $\mu_s$