Question

The susceptibility of magnesium at 300 K is 1.2 × 10⁻⁵. At what temperature will the susceptibility increase to 1.8 × 10⁻⁵?

Answer 1

Given,

Susceptibility of magnesium at 300 K,

\[\chi_1=  1.2 × 10^{−5}\]

Let T₁ be the temperature at which susceptibility of magnesium is 1.2 × 10⁻⁵ and T₂ be the temperature at which susceptibility of magnesium is 1.8 × 10⁻⁵.

According to Curie's law,

\[\chi   =   \frac{C}{T}, \]

where C is Curie's constant.

\[\Rightarrow \frac{\chi_1}{\chi_2} = \frac{T_2}{T_1}\]

\[ \Rightarrow \frac{1 . 2 \times {10}^{- 5}}{1 . 8 \times {10}^{- 5}} = \frac{T_2}{300}\]

\[ \Rightarrow  T_2  = \frac{12}{18} \times 300\]

\[ \Rightarrow  T_2  = \frac{2}{3} \times 300 = 200  K\]