Question

The susceptibility of magnesium at $300K$ is $1.2\times 10^{-5}$. At what temperature (in kelvin) will its susceptibility be equal to $1.44\times 10^{-5}$ ?

Answer 1

Answer: 250

According to Curie's law,
${\chi }_m=\frac{C}{T}$
$\therefore \frac{{\chi }_m}{{\chi }_m^{\prime }}=\frac{T^{\prime }}{T}$
or $T^{\prime }=T\times \frac{{\chi }_m}{{\chi }_m^{\prime }}$
$=\frac{300\times 1.2\times 10^{-5}}{1.44\times 10^{-5}}=250$