Question

The susceptibility of magnesium at 300k is 1.2×10^-5. at what temperature will the susceptibility increase to 1.8×10^-5

Answer 1

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Answer 2

Answer:

The susceptibility increase at 200 K.

Explanation:

Given that,

Temperature T = 300 K

Susceptibility of magnesium $\chi =1.2\times10^{-5}$

Increases susceptibility $\chi =1.8\times10^{-5}$

We know that,

The susceptibility of the material is inversely proportional to the  temperature.

$\chi\propto\dfrac{1}{T}$

The susceptibility of magnesium is

$\chi_{1}\propto\dfrac{1}{T_{1}}$

Increases susceptibility of the magnesium is

$\chi_{2}\propto\dfrac{1}{T_{2}}$

The ratio of the susceptibility of magnesium

$\dfrac{\chi_{1}}{\chi_{2}}=\dfrac{T_{2}}{T_{1}}$

$\dfrac{1.2\times10^{-5}}{1.8\times10^{-5}}=\dfrac{T_{2}}{300}$

$T_{2}=\dfrac{1.2\times10^{-5}}{1.8\times10^{-5}}\times300$

$T_{2}=200\ K$

Hence, The susceptibility increase at 200 K.