Q23 · CSIR-NET Chemistry, December 2011

Paper: CSIR-NET December 2011 · Subject: Physical Chemistry · Chapter: Polymer Chemistry · Topic: Molecular Weight Averages · Marks: 2 · Difficulty: Medium

The osmotic pressure ($\pi$) of a polymer sample at different concentrations ($c$) was measured at $T(K)$. A plot of $(\pi/c)$ versus c gave a straight line with slope ($m$) and intercept ($c'$). The number average molecular weight of the ploymer is ($R=$ gas constant).
(a)$\dfrac{RT}{c'}$
(b)$\frac{c^{\prime}}{R T}$
(c)RT
(d)mRT
Answer
Answer: A ✓ checked by 4AB · confidence high

The source book printed B; on checking, A is correct — see the explanation.

Explanation
π/c = RT/Mₙ + (RT·B)c, so the intercept c′ = RT/Mₙ and Mₙ = RT/c′ (a).

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