1.

The vapour pressure in mmHg of a CH_(3)OH-C_(2)H_(5)OH binary solution , p, at a certain temperature is represented by the equation p=254-119x, where x is the mole fraction of C_(2)H_(5)OH . Find the vapour pressure of the pure components.

Answer»

Solution :We have,
`p=x_(A).p_(A)^(0)+x_(B)p_(B)^(0)`………..(EQN. 3)
or `p=x_(CH_(3)OH).p_(CH_(3)OH)^(0)+x_(C_(2)H_(5)OH).p_(C_(2)H_(5)OH)^(0)`
or `p=(1-x_(C_(2)H_(5)OH)p_(CH_(3)OH)^(0))+x_(C_(2)H_(5)OH).p_(C_(2)H_(5)OH)^(0)`
or `p=p_(CH_(3)OH)^(0)-(p_(CH_(3)OH)^(0)-p_(C_(2)H_(5)OH)^(0))x_(C_(2)H_(5)OH)`.
Comparing this EQUATION with the GIVEN equation, we get
`p_(CH_(3)OH)^(0)=254mm`
and `p_(CH_(3)OH)^(0)-p_(C_(2)H_(5)OH)^(0)=119mm`
`:.p_(C_(2)H_(5)OH)^(0)=254-119=135mm`


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