A KCl solution of conductivity 0 . 14   S   m - 1 shows a resistance of 4 . 19 Ω in a…

The thermal conductivity of a material is a measure of its ability to conduct heat. It is commonly denoted by $\mathrm{\kappa }$, \lambda, or \kappa. Heat transfer occurs at a lower rate in materials of low thermal conductivity than in materials of high thermal conductivity

$\mathrm{\kappa }=\frac{1}{\mathrm{R}}·{\mathrm{G}}^{*}$

For same conductivity cell, ${\mathrm{G}}^{*}$ is constant and hence $\mathrm{\kappa }·\mathrm{R}.=$ constant.

$\therefore 0.14\times 4.19=\kappa \times 1.03$

or, $=\frac{0.14\times 4.19}{1.03}$

$=0.5695{\mathrm{Sm}}^{-1}$

$=56.95\times {10}^{-2}{\mathrm{Sm}}^{-1}\approx 57\times {10}^{-2}{\mathrm{Sm}}^{-1}$