A) \[\alpha =\frac{x+y+1}{i-1}\]
B) \[\alpha =\frac{i-1}{\left( x+y-1 \right)}\]
C) \[\alpha =\frac{i-1}{x+y+1}\]
D) \[\alpha =\frac{x+y-1}{i-1}\]
Correct Answer: B
Solution :
Van?t Hoff factor (i) \[=\frac{Observed\,colligative\,property}{Normal\,colligative\,property}\] \[{{A}_{x}}{{B}_{y}}\xrightarrow{{}}x{{\underset{x\alpha }{\mathop{A}}\,}^{+y}}+yB_{y\alpha }^{^{-x}}\] Total moles \[=1-\alpha +x\alpha +y\alpha \] \[=1+\alpha (x+y-1)\] \[i=\frac{1+\alpha (x+y-1)}{1}\] \[\Rightarrow \,\,\,\,\alpha =\frac{i-1}{x+y-1}\]
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