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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?
Solution
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.
\[\Rightarrow \frac{\chi_1}{\chi_2} = \frac{T_2}{T_1}\]
\[ \Rightarrow \frac{1 . 2 \times {10}^{- 5}}{1 . 8 \times {10}^{- 5}} = \frac{T_2}{300}\]
\[ \Rightarrow T_2 = \frac{12}{18} \times 300\]
\[ \Rightarrow T_2 = \frac{2}{3} \times 300 = 200 K\]
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