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Chemistry Question on Solutions

A gaseous mixture of two substances A and B, under a total pressure of 0.8 atm is in equilibrium with an ideal liquid solution. The mole fraction of substance A is 0.5 in the vapour phase and 0.2 in the liquid phase. The vapour pressure of pure liquid A is ______ atm. (Nearest integer)

Answer

Given, XA=0.2,YA=0.5,PT=0.8atmX_A = 0.2, Y_A = 0.5, P_T = 0.8 atm

We know that PA=YA×PTP_A = Y_A × P_T

PA=0.5×0.8=0.4P_A = 0.5 × 0.8 = 0.4

PA=XA×PA∘⇒PA∘=0.40.2=2 atm\begin{array}{l} P_A=X_A\times P_A^\circ \Rightarrow P_A^\circ=\frac{0.4}{0.2}=2\text{ atm}\end{array}