Question:

The observed osmotic pressure for a 0.10 M solution of \(\mathrm{Fe(NH_4)_2(SO_4)_2}\) at \(25^\circ\mathrm{C}\) is 10.8 atm. The expected and experimental (observed) values of Van't Hoff factor (i) will be respectively :
(\(R=0.082\ \mathrm{L\ atm\ K^{-1}\ mol^{-1}}\))

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Expected i equals the number of ions on full dissociation; observed i = pi/(CRT).
Updated On: Nov 11, 2026
  • 5 and 4.42
  • 4 and 4.00
  • 5 and 3.42
  • 3 and 5.42
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The Correct Option is A

Solution and Explanation

\(\mathrm{Fe(NH_4)_2(SO_4)_2\rightarrow Fe^{2+}+2NH_4^{+}+2SO_4^{2-}}\): 5 ions, so expected \(i=5\).
\(\pi=iCRT\Rightarrow i=\dfrac{10.8}{0.10\times0.082\times298}=\dfrac{10.8}{2.4436}=4.42\).
Expected and observed values are 5 and 4.42.
Answer: (1) 5 and 4.42
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