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At a given temperature total vapour pres...

At a given temperature total vapour pressure (in Torr) of a mixture of volatile components A and B is given by `P = 12 - 75 X_(B)` hence vapour pressure of pure A and B respectively (in Torr) are

A

120,75

B

120,195

C

120,45

D

75,45

Text Solution

Verified by Experts

The correct Answer is:
C
`P = P_(A)^(@) X_(A) + P_(B)^(@) X_(B)`
`P = P_(A)^(@) (1-X_(B)) +P_(B)^(@) X_(B)`
`P = P_(A)^(@) - (P_(A)^(@)-P_(B)^(@)) X_(B)`
But `P = 120 - 75 X_(B)`
`:. P_(A)^(@) = 120` Torr
`P_(A)^(@) - P_(B)^(@) = 75`
`P_(B)^(@) = P_(A)^(@) - 75 = 120 - 75 = 45` Torr
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