Chapter 15, Problem 15F.3BE

Interpretation Introduction

Interpretation:

The effective number of unpaired electrons in $NiS{O}_4.7H_{2}O$ has to be identified and compared with the theoretical value.

Concept Introduction:

The equation for spin only molar susceptibility is given below.

  ${\chi }_m=\frac{N_A{g}_e^2{\mu }_0{\mu }_B^{2}S\left(S+1\right)}{3kT}$

Where,

${\chi }_m=$$molarsusceptibility$

$\begin{array}{l}{N}_A=6.022\times {10}^{23}mo{l}^{-1}\\ \\ g_e^{}=2.0023\\ \\ {\mu }_0=\left(4\pi \times {10}^{-7}{T}^2{J}^{-1}{m}^3\right)\\ \\ {\mu }_B^{}=9.274\times {10}^{-24}J{T}^{-1}\\ \\ k=1.381\times {10}^{-23}J{K}^{-1}\\ \\ S=\frac{n}{2}\end{array}$

$n=$ number of unpaired electrons

$T=$ temperature