Question

The plot of $\frac{\text{1}}{{\text{Y}}_{\text{A}}}\text{Vs}\frac{\text{1}}{{\text{X}}_{\text{A}}}$ ( $\frac{\text{1}}{{\text{Y}}_{\text{A}}}$ on y-axis) where $\text{A}$ and $\text{B}$ form a ideal solution. $\text{Y}$ is mole fraction in vapour phase and $\text{X}$ is mole fraction in liquid phase, is linear with slope and intercept respectively

• A. $\frac{p_A^0}{p_B^0}$ and $\frac{p_A^0-p_B^0}{p_B^0}$
• B. $\frac{p_A^0}{p_B^0}$ and $\frac{p_B^0-p_A^0}{p_B^0}$
• C. $\frac{p_B^0}{p_A^0}$ and $\frac{p_A^0-p_B^0}{p_A^0}$
• D. $\frac{p_B^0}{p_A^0}$ and $\frac{p_B^0-p_A^0}{p_B^0}$

Answer 1

Answer: (C)

$\frac{1}{y_A}=\frac{p_B^0+(p_A^0-p_B^0)X_A}{p_A^0{X}_A}$

$\frac{1}{y_A}=\left(\frac{p_B^0}{p_A^0}\right)\frac{1}{X_A}+\frac{p_A^0-p_B^0}{p_A^0}$

$y=mx+c$

Slope $=\frac{p_B^0}{p_A^0}$

Intercept $=\frac{p_A^0-p_B^0}{p_A^0}$