A) 4.0
B) 2.5
C) 3.5
D) 1.5
Correct Answer: C
Solution :
[c] In solution \[{{X}_{A}}=0.3\]\[\therefore \]\[{{X}_{B}}=0.7\] |
In vapours \[{{Y}_{A}}=0.6\,\,\therefore \,\,{{Y}_{B}}=0.4\] |
Using Dalton's law |
\[{{Y}_{A}}=\frac{{{p}_{A}}}{{{p}_{T}}}\] |
i.e., \[{{Y}_{A}}=\frac{p_{A}^{o}\times {{X}_{A}}}{P_{A}^{o}{{X}_{A}}+p_{B}^{o}{{X}_{B}}}\] |
\[\therefore \] \[{{Y}_{B}}=\frac{p_{B}^{o}{{X}_{B}}}{p_{A}^{o}{{X}_{A}}+p_{B}^{o}{{X}_{B}}}\] |
\[\therefore \] \[\frac{{{Y}_{A}}}{{{Y}_{B}}}=\frac{p_{B}^{o}{{X}_{B}}}{p_{B}^{o}{{X}_{B}}}\] |
\[\therefore \] \[\frac{p_{{}}^{o}A}{p_{{}}^{o}B}=\frac{{{Y}_{A}}}{{{Y}_{B}}}\times \frac{{{X}_{B}}}{{{X}_{A}}}=\frac{0.6}{0.4}\times \frac{0.7}{0.3}=3.5\] |
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