A) 136.2
B) 171.2
C) 68.4
D) 34.2
Correct Answer: C
Solution :
| [c] Two solutions are isotonic if their osmotic pressure are equal |
| \[{{\pi }_{1}}={{\pi }_{2}}\] |
| \[{{M}_{1}}S{{T}_{1}}={{M}_{2}}S{{T}_{2}}\] (\[{{M}_{1}}\] and \[{{M}_{2}}\] are molarities) |
| At a given temperature, \[{{M}_{1}}={{M}_{2}}\] |
| \[\underset{\text{Conesugar}}{\mathop{\frac{1000\,{{w}_{1}}}{{{m}_{1}}{{v}_{1}}}}}\,=\underset{\text{Unknown}}{\mathop{\frac{1000\,{{w}_{2}}}{{{m}_{2}}{{v}_{2}}}}}\,\] \[({{V}_{1}}={{V}_{2}}\,100\,mL)\] |
| \[\therefore \] \[\frac{{{w}_{1}}}{{{m}_{1}}}=\frac{{{w}_{2}}}{{{m}_{2}}}\] |
| \[\frac{5}{342}=\frac{1}{{{m}_{2}}}\] |
| \[{{m}_{2}}=\frac{342}{5}=68.4\,g\,mo{{l}^{-1}}\] |
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