A) \[\frac{{{p}_{1}}}{{{p}_{1}}+{{p}_{2}}}=\frac{{{p}_{2}}}{{{p}_{1}}+{{p}_{2}}}\]
B) \[{{p}_{1}}>{{p}_{2}}\]
C) \[{{p}_{2}}>{{p}_{1}}\]
D) \[{{p}_{1}}={{p}_{2}}\]
Correct Answer: B
Solution :
Osmotic pressure is a colligative property and vant Hoff factor of \[KN{{O}_{3}}=2\] \[(\because \,KN{{O}_{3}}\xrightarrow{{}}{{K}^{+}}+NO_{3}^{-})\] vant Hoff factor of (\[C{{H}_{3}}COOH\]is less than that of \[\text{KN}{{\text{O}}_{\text{3}}}\]because \[\text{C}{{\text{H}}_{3}}COOH\]is a weak electrolyte. \[\therefore \] Osmotic pressure of \[KN{{O}_{3}}({{p}_{1}})\] = vant Hoff factor \[\times \] cone. \[=2\times 0.1\] \[\therefore \]Osmotic pressure of \[C{{H}_{3}}COOH({{p}_{2}})\]is less than that of \[KN{{O}_{3}}\] \[\therefore \] \[{{p}_{1}}>{{p}_{2}}\]
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