Let be the experimentally determined van't Hoff factor. The experimental degree of dissociation () o — Solutions and Colligative Properties Chemistry Question
Question
Let $i$ be the experimentally determined van't Hoff factor. The experimental degree of dissociation ($\alpha$) of a $0.1\text{ M}$ aqueous solution of $La(NO_3)_3$ and a separate $0.1\text{ M}$ aqueous solution of $Ba(NO_3)_2$ are being analyzed. If $i$ is found to be exactly $2.74$ for both solutions independently, which of the following deductions are true?
💡 Solution & Explanation
For $La(NO_3)_3 \rightarrow La^{3+} + 3NO_3^-$, $n=4$. $\alpha = \frac{i-1}{n-1} = \frac{2.74-1}{4-1} = \frac{1.74}{3} = 0.58$ ($58\%$). For $Ba(NO_3)_2 \rightarrow Ba^{2+} + 2NO_3^-$, $n=3$. $\alpha = \frac{2.74-1}{3-1} = \frac{1.74}{2} = 0.87$ ($87\%$). Thus, A and B are correct. C is false because $\alpha < 1$. D is false because osmotic pressure $\pi = iCRT$; since both have equal $C=0.1$ and $i=2.74$, their osmotic pressures are absolutely identical.