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

The susceptibility of magnesium at 300K  is $1.2×{10}^{-5}$ . At what temperature (in Kelvin) will the susceptibility increase to $1.8×{10}^{-5}$ ?

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$\begin{array}{l}\mathrm{x}=\frac{\mathrm{C}}{\mathrm{T}}⇒\frac{{\mathrm{x}}_{1}}{{\mathrm{x}}_{2}}=\frac{{\mathrm{T}}_{2}}{{\mathrm{T}}_{1}}\\ ⇒\frac{1.2×{10}^{-5}}{1.8×{10}^{-5}}=\frac{{\mathrm{T}}_{2}}{300}⇒{\mathrm{T}}_{2}=\frac{12}{18}×300=200\mathrm{K}\end{array}$