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The vapor pressure 'P' in mmHg of a bina...

The vapor pressure 'P' in mmHg of a binary solution of two volatile components `A` and `B` at a certain temperature is represented by the equation
`P=245-101 chi`
where `chi` is the mole fraction of component A. The vapor pressures of the pure components `A` and `B` are____ respectively

A

`245 mmHg, 144 mmHg`

B

`144 mmHg, 245 mmHg`

C

`346 mmHg, 144 mmHg`

D

`144 mmHg, 346 mmHg`

Text Solution

Verified by Experts

The correct Answer is:
2

Consider the equation
`P=245-101 chi`
When `chi=1`, the system has only pure component `A`. Thus `P=P_(A)^(@)=245-101=144 mmHg`. On the component `B`. Thus, `P=P_(B)^(@)=245 mmHg`. Alternatively, we can compare the given equation with `P=P_(B)^(@)+(P_(A)^(@)-P_(B)^(@))xhi_(A)` to get the answer.
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