A) \[{{M}_{2}}=\left[ \frac{{{m}_{2}}}{\pi } \right]\,VRT\]
B) \[{{M}_{2}}=\left[ \frac{{{m}_{2}}}{V} \right]\frac{RT}{\pi }\]
C) \[{{M}_{2}}=\left[ \frac{{{m}_{2}}}{V} \right]\pi RT\]
D) \[{{M}_{2}}=\left[ \frac{{{m}_{2}}}{V} \right]\frac{\pi }{RT}\]
Correct Answer: B
Solution :
| [b] For dilute solution |
| \[PV=nRT\] |
| or \[\pi V=nRT\] |
| or \[\pi =\frac{n}{V}RT\] |
| \[\Rightarrow \] \[\pi V=\frac{{{m}_{2}}}{M}RT\] |
| \[\Rightarrow \] \[M=\frac{{{m}_{2}}RT}{\pi V}\] |
| where, \[\pi =\]osmotic pressure |
| V = volume of solution |
| n = number of moles of solute |
| \[{{m}_{2}}=\] mass of solute |
| M = molecular mass of solute |
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