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The plot of χT versus T (where χ is molar magnetic susceptibility and T is the temperature) for a paramagnetic complex which strictly follows Curie equation is

  • A.Plot of chi T against T: a curve falling steeply from the top left and levelling off at higher T
  • B.Plot of chi T against T: a straight line falling with increasing T
  • C.Plot of chi T against T: a horizontal straight line, chi T independent of T
  • D.Plot of chi T against T: a straight line rising from the origin

Answer: C

The correct plot is the horizontal straight line (C).

The Curie law says the molar susceptibility of an ideal paramagnet is inversely proportional to temperature:

\[ \chi = \frac{C}{T} \quad \Rightarrow \quad \chi T = C \]

The product χT is therefore a constant, independent of T, and a plot of χT against T is a horizontal line. Its height is the Curie constant, which fixes the effective magnetic moment.

A falling curve such as A is what χ itself does against T. A falling or rising straight line (B or D) would mean χT varies with temperature, as it does with antiferromagnetic or ferromagnetic coupling or a Curie-Weiss term, which the question excludes.

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