A) \[I<III<II<\text{ }IV\]
B) \[III<I<II<IV\]
C) \[I<\text{ }II<III<IV\]
D) \[I<\text{ }III<IV<II\]
E) \[III<IV<I<II\]
Correct Answer: E
Solution :
1% solution means 1 g solute is present in 100 mL of water. Osmotic pressure, \[\pi =\frac{iw\times RT}{M\times V}\] \[\therefore \] \[{{\pi }_{KCl}}=\frac{2\times 1\times 1000\times RT}{74.5\times 100}\] \[=2\times 0.134\,RT\] \[{{\pi }_{NaCl}}=\frac{2\times 1\times 1000\times RT}{58.5\times 100}\] \[=2\times 0.171\,RT\] \[{{\pi }_{BaC{{l}_{2}}}}=\frac{3\times 1\times 1000\times RT}{208.4\times 100}\] \[=3\times 0.048\,RT\] \[{{\pi }_{urea}}=\frac{1\times 1\times 1000\times RT}{60\times 100}\] \[=1\times 0.167\,RT\] Since, temperature is same in all cases, the ascending order of osmotic pressure is \[III<IV<I<II\]
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