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JIPMER 2015

Exam: JIPMER
Year: 2015
Subject: Chemistry
Chapter: Solutions

JIPMER 2015 · Chemistry · Solutions

For an ideal binary liquid solution with p_x^0 p_y^0 in which...

For an ideal binary liquid solution with

p_x^0 \gt p_y^0

in which relation between

X_x

(mole fraction of

X

in liquid phase)

and Y_X

(mole fraction of

X

in vapour phase) is correct,

X_y

and

Y_y

are mole fraction of

Y

in liquid and vapour phase respectively

Options

A $X_x \gt Y_x$
B $X_x=Y_x$
C $\frac{X_x}{X_y} \lt \frac{Y_x}{Y_y}$
D $X_x, Y_x, X_y$ and $Y_y$ cannot be correlated

Correct answer

C. $\frac{X_x}{X_y} \lt \frac{Y_x}{Y_y}$

Step-by-step solution

\begin{aligned} & p_x^1=p_x^0 \cdot X_x=p_T \cdot Y_x \\ & p_y^1=p_y^0 \cdot X_y=p_T \cdot Y_y\end{aligned}

Therefore,

\frac{p_x^0}{p_y^0} \cdot \frac{X_x}{X_y}=\frac{Y_x}{Y_y}

\begin{array}{ll}\because & \frac{p_x^0}{p_y^0}\gt1 \\ \therefore & \frac{X_x}{X_y} \lt \frac{Y_x}{Y_y}\end{array}

$

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