A) \[{{M}_{A}}={{M}_{B}}\]
B) \[2{{M}_{A}}={{M}_{B}}\]
C) \[{{M}_{A}}=2{{M}_{B}}\]
D) \[{{M}_{A}}=4{{M}_{B}}\]
Correct Answer: C
Solution :
[c] For dilute solution, \[\frac{\Delta P}{P{}^\circ }\Rightarrow \frac{{{n}_{solute}}}{{{n}_{solvent}}}\] For solution in A, \[\frac{\Delta {{P}_{A}}}{P_{A}^{{}^\circ }}=\frac{W/M}{{{W}_{A}}/{{M}_{A}}}=\frac{W}{M}\times \frac{{{M}_{A}}}{{{W}_{A}}}\] ...(i) For solution in B, \[\frac{\Delta {{P}_{B}}}{P_{A}^{{}^\circ }}=\frac{W}{M}\times \frac{{{M}_{B}}}{{{W}_{B}}}\] ....(ii) From (i) and (ii), \[\frac{\Delta {{P}_{A}}/{{P}^{{}^\circ }}_{A}}{\Delta {{P}_{B}}/{{P}^{{}^\circ }}_{B}}=2=\frac{{{M}_{A}}{{W}_{B}}}{{{M}_{B}}{{W}_{A}}}=\frac{{{M}_{A}}}{{{W}_{B}}}({{W}_{A}}={{W}_{B}})\] \[{{M}_{A}}=2{{M}_{B}}\]You need to login to perform this action.
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