The best suited curve showing the variations of susceptibility (χ) of a paramagnetic material in free space with temperature (T) is:
A
Option 1
B
Option 2
C
Option 3
D
Option 4
Step-by-Step Solution
Nature of Paramagnetism: According to the provided Chemistry source, paramagnetism arises from the presence of unpaired electrons, where the magnetic moment is associated with spin and orbital angular momentum . These individual atomic dipoles tend to align with an external magnetic field.
Temperature Dependence (Curie's Law): The alignment of these dipoles is opposed by thermal agitation. Curie's Law states that the magnetic susceptibility (χ) of a paramagnetic material is inversely proportional to the absolute temperature (T):
χ=TC
where C is the Curie constant.
Graphical Representation: The mathematical relationship χ∝1/T represents a rectangular hyperbola. The curve should start with a high value of χ at low T and decrease asymptotically towards zero as T increases. Option 2 typically represents this hyperbolic decay in standard exam diagrams.
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