| Direction (16 - 20): Osmosis plays a primary role in biological systems. Osmosis is a physicochemical process, in which the concentration difference between two solutions creates pressure difference (osmotic pressure) across a separating semipermeable membrane. Solvent transport takes place from the more diluted solution to that of higher concentration, until equilibrium is reached. Van't Hoff was the first to propose the formula for the osmotic pressure as Posm = CRT. For electrolyte solutions, Van't Hoff factor 'i' has to be taken into consideration. (Reference: Ivan L. Minkov, Emil D. Manev, Svetia V. Sazdanova and Kiril H. Kolikov. Equilibrium and Dynamic Osmotic Behaviour of Aqueous Solutions with Varied Concentration at Constant and Variable Volume; Hindawi, The Scientific World Journal, Volume 2013) |
A) \[30.57\times {{10}^{-5}}\]
B) \[0\centerdot 0309\]
C) \[29\centerdot 25Pa\]
D) \[30\centerdot 9Pa.\]
Correct Answer: D
Solution :
\[\pi =\frac{{{W}_{2}}RT}{{{M}_{2}}V}\] \[=\frac{1g\,\times 0.083L\,bar\,{{K}^{-1}}\,mo{{l}^{-1}}\,\times 310K}{185000\,g\,mo{{l}^{-1}}\,\times 0.450\,L}\] \[=30.9\times {{10}^{-5}}\,\]bar \[=30.9\times {{10}^{-5}}\,bar\,\times {{10}^{5}}\,Pa\,ba{{r}^{-1}}\] \[\left( \therefore \,1\,bar\,={{10}^{5}}\,Pa \right)\] =30.9 Pa.
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