Which of the following statements regarding the fundamental relationship between the degree of disso — Solutions and Colligative Properties Chemistry Question
Question
Which of the following statements regarding the fundamental relationship between the degree of dissociation/association ($\alpha$) and the van't Hoff factor ($i$) are thermodynamically and mathematically correct for a solute dissolving in a solvent?
Answer: A,B,D
💡 Solution & Explanation
For complete dissociation ($\alpha = 1$), $i = 1 + 1(n-1) = n$ (A). For association, $i = 1 + \alpha(1/n - 1)$; since $1/n < 1$ for any $n \ge 2$, $i$ is strictly $< 1$ (B). If $M_{obs} = 2 M_{theo}$, $i = 0.5$, which matches $n=2, \alpha=1$ (100% dimerization) (D). For a non-electrolyte, $i=1$, not $0$, as particles remain intact (C is incorrect).
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