At 300 K , the susceptibility of magnesium is 1.2 10⁻⁵ . Determine the temperature at which the susceptibility increases to 1.8 10⁻⁵ .

Step-by-step solution

According to Curie's law for paramagnetic materials, the magnetic susceptibility is inversely proportional to the absolute temperature T . 1 T ₁ T₁ = ₂ T₂ Substituting the given values: 1.2 10⁻⁵ 300 = 1.8 10⁻⁵ T₂ T₂ = 1.2 10⁻⁵ 300 1.8 10⁻⁵ T₂ = 2 3 300 = 200 K