JEE Main | 2014SolutionHard

Question

Consider separate solutions 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?

Options

A.They all have the same osmotic pressure.
B.0.100 M Mg3(PO4)2 (aq) has the highest osmotic pressure.
C.0.125 M Na3PO4 (aq) has the highest osmotic pressure.
D.0.500 M C2H5OH (aq) has the highest osmotic pressure.

Solution

π = i CRT
πC2H5OH = 1 × 0.500 × R × T = 0.5 RT
πMg3(PO4)2 = 5 × 0.100 × R × T = 0.5 RT
πKBr = 2 × 0.250 × R × T = 0.5 RT
πNa3PO4 = 4 × 0.125 × RT = 0.5 RT

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