Consider separate solutions of 0.500 M \(\mathrm{C_2H_5OH(aq)}\), 0.100 M \(\mathrm{Mg_3(PO_4)_2(aq)}\), 0.250 M \(\mathrm{KBr(aq)}\) and 0.125 M \(\mathrm{Na_3PO_4(aq)}\) at 25\(^\circ\)C. Which statement is true about these solutions, assuming all salts to be strong electrolytes ?
Show Hint
- They all have the same osmotic pressure.
- 0.100 M \(\mathrm{Mg_3(PO_4)_2(aq)}\) has the highest osmotic pressure.
- 0.125 M \(\mathrm{Na_3PO_4(aq)}\) has the highest osmotic pressure.
- 0.500 M \(\mathrm{C_2H_5OH(aq)}\) has the highest osmotic pressure.
The Correct Option is A
Solution and Explanation
\(\mathrm{C_2H_5OH}\): non-electrolyte, i = 1, \(iC = 0.500\).
\(\mathrm{Mg_3(PO_4)_2}\): 3 \(\mathrm{Mg^{2+}}\) + 2 \(\mathrm{PO_4^{3-}}\), i = 5, \(iC = 5\times 0.100 = 0.500\).
KBr: i = 2, \(iC = 2\times 0.250 = 0.500\).
\(\mathrm{Na_3PO_4}\): i = 4, \(iC = 4\times 0.125 = 0.500\).
All have \(iC = 0.500\), so all have the same osmotic pressure.
Answer: (1) They all have the same osmotic pressure.
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