The magnetic susceptibility of magnesium at 300\; K is  1.2\times 10^{5}. At what temperature will its magnetic susceptibility become 1.44\times 10^{5} ?

 

 

 

 
 
 
 
 

Answers (1)

We have given the temperature :

Temperature T_{1}=300K

Temperature T_{2}=?

Given: the magnetic susceptibility at a temperature

 T\ \text{is}\ \\\chi_{1}=1.2\times 10^{5}

and at temperature

 \\T_{2}\ \text{is}\\\chi_{2}=1.44\times 10^{5}

We know that,

According to curies law at far away from saturation Susceptibility \chi of paramagnetic material is inversely proportional to temperature (T).

\chi=\frac{C}{T}      Where, C is curies constant and T is temperature

Hence, we can say that,

\frac{\chi_{1}}{\chi_{2}}=\frac{T_{2}}{T_{1}}

On putting the values of \chi_{1},\chi_{2} and T_{1}, we can have T_{2}.

\frac{1.2\times 10^{5}}{1.44\times 10^{5}}=\frac{T_{2}}{300}

T_{2}=\frac{1.2}{1.44}\times 300=250K

Therefore, the magnetic susceptibility become 1.44\times 10^{5} at the temperature 250K

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