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., \[{{Y}_{A}}=\frac{p_{A}^{o}\times {{X}_{A}}}{P_{A}^{o}{{X}_{A}}+p_{B}^{o}{{X}_{B}}}\] |
| \[\therefore \] \[{{Y}_{B}}=\frac{p_{B}^{o}{{X}_{B}}}{p_{A}^{o}{{X}_{A}}+p_{B}^{o}{{X}_{B}}}\] |
| \[\therefore \] \[\frac{{{Y}_{A}}}{{{Y}_{B}}}=\frac{p_{B}^{o}{{X}_{B}}}{p_{B}^{o}{{X}_{B}}}\] |
| \[\therefore \] \[\frac{p_{{}}^{o}A}{p_{{}}^{o}B}=\frac{{{Y}_{A}}}{{{Y}_{B}}}\times \frac{{{X}_{B}}}{{{X}_{A}}}=\frac{0.6}{0.4}\times \frac{0.7}{0.3}=3.5\] |
You need to login to perform this action.
You will be redirected in
3 sec
