The magnetic susceptibility of a paramagnetic substance at -73° C is 0.0060, then its value at -173° C will be

Question

The magnetic susceptibility of a paramagnetic substance at -73° C is 0.0060, then its value at -173° C will be (A) 0.0030 (B) 0.0120 (C) 0.0180 (D) 0.0045

Tardigrade Admin · Accepted Answer

As magnetic susceptibility, chim propto (1/T), therefore ( chi2/ chi1) =(T1/T2) ( chi/0.0060) =(273-73/273-173)=(200/100)=2 chi2 =2 × 0.0060=0.0120

Q. The magnetic susceptibility of a paramagnetic substance at $- 73^{\circ} C$ is $0.0060$ , then its value at $- 173^{\circ} C$ will be

0.0030

0.0120

0.0180

0.0045

As magnetic susceptibility, $χ_{m} \propto \frac{1}{T}$ , therefore
$\frac{χ _{2}}{χ _{1}} = \frac{T _{1}}{T _{2}}$
$\frac{χ}{0.0060} = \frac{273 - 73}{273 - 173} = \frac{200}{100} = 2$
$χ_{2} = 2 \times 0.0060 = 0.0120$

Q. The magnetic susceptibility of a paramagnetic substance at −73∘C is 0.0060, then its value at −173∘C will be