Q.

Consider the separate solution of 0.500 M C2H5OH(aq),0.100 M Mg3(PO4)2(aq), 0.250 M KBr (aq) and 0.125 M Na3PO4(aq) at 25oC. Which statement is true about these solutions, assuming all salts to be strong electrolytes?

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They all have same osmotic pressure

0.100 M Mg3(PO4)2 (aq) has the highest osmotic pressure

0.125 M Na3PO4 (aq) has the highest osmotic pressure

0.5000 M C2H5OH (aq) has the highest osmotic pressure

answer is A.

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Detailed Solution

Osmotic pressure, π=i×MRTWhere, i = van't Hoff factor, M = Molarity R = gas constant, T = temperatureFor 0.500 M C2H5OH (aq), i = 1, thus, πC2H5OH(aq)=0.5RTFor 0.100 M Mg3(PO4)2(aq), i=5[∵ Mg3(PO4)2⇌3Mg2++2PO43−]Thus, πMg3(PO4)2(aq)=5×0.1×RTFor 0.125 M Na3PO4(aq),i=4[∵ Na3PO4⇌3Na++PO43−]Thus, πNa3PO4(aq)=4×0.125×RT=0.5 RTHence, all solutions have same osmotic pressure.

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