A) 34.2
B) 171.2
C) 68.4
D) 136.8
Correct Answer: C
Solution :
| [c] Isotonic solutions are the solutions having same osmotic pressure. |
| Applying Van't Hoff equation |
| \[\pi V=nST\] |
| \[\pi =cST\] |
| Osmotic pressure of 5% cane sugar solution |
| \[({{\pi }_{1}})\,C\times S\times T=\frac{50\,g/L}{342}\times 0.0821\times T\] |
| Osmotic pressure of 1% solution of substance \[x\,({{\pi }_{2}})\] |
| \[=\frac{10g/L}{M}\times 0.0821\times T\] |
| Both are isotonic |
| So, \[{{\pi }_{1}}={{\pi }_{2}}\] |
| or \[\frac{50}{342}\times 0.0821\times T=\frac{10}{M}\times 0.0821\times T\] |
| \[\therefore \] \[M\,(mol.\,wt.\,of\,X)=\frac{342}{5}=68.4\] |
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