Chemistry, asked by irfan1728, 7 months ago

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Answered by Anonymous
5

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Answered by Atαrαh
5

Pa ° = 450 mm of Hg

Pb ° = 700 mm of Hg

P t = 600 mm of Hg

As per the formula ,

 \implies{P \:  t = P a + P b }

 \implies{P \:t = P a °  \:   x a+ P b °  \: x  b}

we know that ,

X a + X b = 1

X b = 1 - X a

Substituting X b as 1 - X a in the above equation ,

 \implies{P \:t= P a ° \:   x a+ P b °   \: (1 - xa)}

\implies{P \:t= P a ° \:   x a+ P b ° - P b ° \: xa}

\implies{P t= (P a °- P b °)xa+ P b °}

\implies{600= (450- 700)xa+ 700}

\implies{ - 100=  - 250xa}

 \boxed{xa = 0.4}

 \implies{xb \:  = 1 - xa = 0.6}

 \boxed{xb = 0.6}

Vapor pressure of liquid A

 \implies{P a  = P a °  \:   x a}

 \implies{P a  =450 \times 0.4}

 \boxed{P a  =180mm \: of \: Hg}

Vapor pressure of liquid B

 \implies{P b= P b°  \:   x b}

 \implies{P b  =700 \times 0.6}

 \boxed{P b  =420 \: mm \: of \:Hg }

In vapor phase ,For liquid A

 \implies{P a=y a  \times P t}

 \implies{ya =  \frac{P a}{P t} }

\implies{ya =  \frac{180}{600} }

 \boxed{ya = 0.3}

we know that ,

 \implies{ya + yb = 1}

 \boxed{yb = 0.7}

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