Liquids A and B form ideal solution over the | vedclass

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Question

The vapour pressure of pure liquid $A , P _{ A }=20$ torr

The vapour pressure of pure liquid $B , P _{ B }^3=$ ?

$P _{	ext {Total }}  = P

Vedclass · Accepted Answer

$19$

Vedclass · Answer

The vapour pressure of pure liquid $A , P _{ A }=20$ torr

The vapour pressure of pure liquid $B , P _{ B }^3=$ ?

$P _{	ext {Total }}  = P _{ A }^{\prime} X _{ A }+ P _{ B }^c X _{ B }$

$45 =20\left(\frac{1}{2}ight)+ P _{ B }^{\prime}\left(\frac{1}{2}ight)$

$90 =20+ P _{ B }^{\prime} \quad \Rightarrow P _{ B }^{\prime}=70 	ext { torr }$

For new solution, $P _{	ext {Total }}=22.5= P _{ A }^0 X _{ A }+ P _{ B }^2 X _{ B }$

$22.5  =20 x +70(1- x )$

$x  =0.95= X _{ A }$

$X _{ B }  =1- x =0.05$

$	herefore \frac{ X _{ A }}{ X _{ B }}=  \frac{0.95}{0.05}=19.00$

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