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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

Consider separate solutions of \(0.500\, M\, C_2H_5OH\,(aq),\) \(0.100\,M\,Mg_3(PO_4)_2\, (aq), \) \(0.250\, M\,KBr\,(aq)\) and \(0.125\, M\,Na_3PO_4\,(aq)\) at \(25^o C.\) Which statement is true about these solutions, assuming all salts to be strong electrolytes ?

  1. A They all have the same osmotic pressure.
  2. B \(0.100\, M\, Mg_3(PO_4)_2\,(aq)\) has the highest osmotic pressure.
  3. C \(0.125\, M\, Na_3PO_4\,(aq)\) has the highest osmotic pressure.
  4. D \(0.500\, M\, C_2H_5OH\,(aq)\) has the highest osmotic pressure.
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Answer & Solution

Correct Answer

(A) They all have the same osmotic pressure.

Step-by-step Solution

Detailed explanation

\(\pi=i C R T\) \(^{\pi} C_{2} H_{3} O H\) \(=1 \times 0.500 \times R \times T=0.5 R T\) \(^{\pi} M g_{3}\left(P O_{4}\right)_{2}\) \(=5 \times 0.100 \times R \times T=0.5 R T\) \(^{\pi} K B r=2 \times 0.250 \times R \times T=0.5 R T\)…
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