Two solutions of KNO_3 and CH_3COOH are prepa | vedclass

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Question

(C) Osmotic pressure $(P)$ is a colligative property given by the formula $P = iCRT$,where $i$ is the van't Hoff factor,$C$ is molarity,$R$ is the gas

Vedclass · Accepted Answer

$P_1 > P_2$

Vedclass · Answer

(C) Osmotic pressure $(P)$ is a colligative property given by the formula $P = iCRT$,where $i$ is the van't Hoff factor,$C$ is molarity,$R$ is the gas constant,and $T$ is temperature.Since $C$,$R$,and $T$ are the same for both solutions,$P \propto i$.$KNO_3$ is a strong electrolyte that dissociates completely into two ions ($K^+$ and $NO_3^-$),so its van't Hoff factor $i_1 \approx 2$.$CH_3COOH$ is a weak electrolyte that dissociates only to a small extent,so its van't Hoff factor $i_2$ is slightly greater than $1$ $(1 Since $i_1 > i_2$,it follows that $P_1 > P_2$.

Two solutions of $KNO_3$ and $CH_3COOH$ are prepared separately. The molarity of both is $0.1 \ M$ and their osmotic pressures are $P_1$ and $P_2$ respectively. The correct relationship between the osmotic pressures is:

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