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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a

0.5000 M C2H5OH (aq) has the highest osmotic pressure

b

They all have same osmotic pressure

c

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

d

0.125 M Na3PO4 (aq) has the highest osmotic pressure 

answer is A.

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Detailed Solution

Osmotic pressure, π=i×MRT

Where, i = van't Hoff factor, M = Molarity 

R = gas constant, T = temperature

For 0.500 M C2H5OH (aq), i = 1, thus, 

πC2H5OH(aq)=0.5RT

For 0.100 M Mg3(PO4)2(aq),i=5

[Mg3(PO4)23Mg2++2PO43]

Thus, πMg3(PO4)2(aq)=5×0.1×RT

For 0.125 M Na3PO4(aq),i=4

[Na3PO43Na++PO43]

Thus, πNa3PO4(aq)=4×0.125×RT=0.5RT

Hence, all solutions have same osmotic pressure.

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