The magnetic susceptibility of a paramagnetic | vedclass

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Question

(C) According to Curie's Law,the magnetic susceptibility $\chi_m$ of a paramagnetic material is inversely proportional to its absolute temperature $T$

Vedclass · Accepted Answer

$0.015$

Vedclass · Answer

(C) According to Curie's Law,the magnetic susceptibility $\chi_m$ of a paramagnetic material is inversely proportional to its absolute temperature $T$ (in Kelvin).$\chi_m \propto \frac{1}{T}$ or $\chi_m T = 	ext{constant}$.Given:$T_1 = -73\,^{\circ}C = -73 + 273 = 200\,K$$\chi_{m1} = 0.0075$$T_2 = -173\,^{\circ}C = -173 + 273 = 100\,K$Using the relation $\chi_{m1} T_1 = \chi_{m2} T_2$:$0.0075 	imes 200 = \chi_{m2} 	imes 100$$\chi_{m2} = \frac{0.0075 	imes 200}{100}$$\chi_{m2} = 0.0075 	imes 2 = 0.015$.

The magnetic susceptibility of a paramagnetic material at $-73\,^{\circ}C$ is $0.0075$. What will be its value at $-173\,^{\circ}C$?

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