Question

The magnetic susceptibility of a paramagnetic material at - 73°C is 0.0075. Its value at - 173°C will be ______.

Options

• 0.0150

• 0.0075

• 0.0030

• 0.0045

Answer 1

The magnetic susceptibility of a paramagnetic material at - 73°C is 0.0075. Its value at - 173°C will be 0.0150.

Explanation:

For paramagnetic substance, magnetic susceptibility is given by

χ_mT = constant

⇒ (χ_m)₁T₁ = (χ_m)₂ T₂   ...(i)

Here, (χ_m)₁ = 0.0075,

T₁ = - 73°C = 273 - 73 = 200 K and 

T₂ = - 173°C = 273 - 173 = 100 K

Substituting the given values In Eq. (i), we get

0.0075 × 200 = (x_m)₂ × 100

(x_m)₂ = 0.0150