Question

The magnetic susceptibility of magnesium at 300k is 1.2×10^5. At what temperature will its magnetic susceptibility become 1.44×10^5

Answer 1

The answer is 250k since

1.2÷1.44×300=250k

Answer 2

$\huge\underline{\underline{\bf \orange{Question}}}$

The magnetic susceptibility of magnesium at 300k is ${\sf 1.2×10^5}$. At what temperature will its magnetic susceptibility become ${\sf 1.44×10^5}$.

$\huge\underline{\underline{\bf \orange{ Solution}}}$

$\large\underline{\underline{\sf Given:}}$

• Magnetic Susceptibility ${\sf ( X_1) = 1.2×10^5}$
• ${\sf X_2=1.44×10^5}$
• Temperature ${\sf (T_1)}$ = 300K

$\large\underline{\underline{\sf To\:Find:}}$

• Temperature at which magnetic susceptibility become ${\sf 1.44×10^5}$ ${\sf (T_2)}$

$\large{\bf We \: Know \: that - }$

✪${\boxed{\bf \blue{Magnetic\: Susceptibility (X)\:\:\alpha\:\:\dfrac{1}{Temperature (T)} }}}$

$\implies{\sf \dfrac{X_1}{X_2}=\dfrac{T_2}{T_1} }$

$\implies{\sf \dfrac{1.2×10^5}{1.44×10^5}=\dfrac{T_2}{300}}$

$\implies{\sf T_2=\dfrac{1.2×10^5×300}{1.44×10^5} }$

$\implies{\sf T_2=\dfrac{360×10^5}{1.44×10^5}}$

$\implies{\bf \red{T_2=250\:K}}$

$\huge\underline{\underline{\bf \orange{Answer}}}$

Temperature at which magnetic susceptibility become ${\sf 1.44×10^5}$ is ${\bf \red{250\:K}}$.