At a certain temperature,the osmotic pressure | vedclass

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Question

(C) The formula for osmotic pressure is $\pi = iCRT$,where $i$ is the van't Hoff factor,$C$ is the molar concentration,$R$ is the gas constant,and $T$

Vedclass · Accepted Answer

$3\pi/2 \, bar$

Vedclass · Answer

(C) The formula for osmotic pressure is $\pi = iCRT$,where $i$ is the van't Hoff factor,$C$ is the molar concentration,$R$ is the gas constant,and $T$ is the temperature.For the non-electrolyte solution: $\pi_1 = 1 	imes 0.25 	imes RT = 0.25 RT = \pi$.For the $Ba(NO_3)_2$ solution: $Ba(NO_3)_2$ dissociates as $Ba(NO_3)_2 ightarrow Ba^{2+} + 2NO_3^-$,so $i = 3$.Thus,$\pi_2 = 3 	imes 0.125 	imes RT = 0.375 RT$.Comparing the two: $\pi_2 / \pi_1 = 0.375 / 0.25 = 1.5 = 3/2$.Therefore,$\pi_2 = 3\pi/2 \, bar$.

At a certain temperature,the osmotic pressure of a $0.25 \, M$ solution of a non-electrolyte is $\pi \, bar$. What will be the osmotic pressure of a $0.125 \, M \, Ba(NO_3)_2$ solution at the same temperature?

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