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(A) The osmotic pressure is given by $\pi = iCRT$,where $i$ is the van't Hoff factor,$C$ is the molarity,$R$ is the gas constant,and $T$ is the temper

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$2$

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(A) The osmotic pressure is given by $\pi = iCRT$,where $i$ is the van't Hoff factor,$C$ is the molarity,$R$ is the gas constant,and $T$ is the temperature.For solutions at the same temperature,$\pi \propto iC$.$A.$ $iC$ for $C_2H_5OH = 1 	imes 0.500 = 0.500$; $iC$ for $KBr = 2 	imes 0.25 = 0.500$. (Equal)$B.$ $iC$ for $K_4[Fe(CN)_6] = 5 	imes 0.100 = 0.500$; $iC$ for $FeSO_4(NH_4)_2SO_4 = 3 	imes 0.100 = 0.300$. (Not equal)$C.$ $iC$ for $K_4[Fe(CN)_6] = 5 	imes 0.05 = 0.250$; $iC$ for $NaCl = 2 	imes 0.25 = 0.500$. (Not equal)$D.$ $iC$ for $NaCl = 2 	imes 0.15 = 0.300$; $iC$ for $BaCl_2 = 3 	imes 0.1 = 0.300$. (Equal)$E.$ $iC$ for $KCl \cdot MgCl_2 \cdot 6H_2O = 3 	imes 0.02 = 0.060$; $iC$ for $KCl = 2 	imes 0.05 = 0.100$. (Not equal)Only pairs $A$ and $D$ have the same osmotic pressure. Thus,the number of such pairs is $2$.

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