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At `25^(@)C`, the total pressure of an ideal solution obtained by mixing 3 mole of A and 2 mole of B, is 184 torr. What is the vapour pressure (in torr) of pure B at the same temperature (Vapour pressure of pure A at `25^(@)C` is 200 torr) ?
A. 180
B. 160
C. 16
D. 100

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Correct Answer - B
`p=p_(A)^(@)((n_(A))/(n_(A)+n_(B)))+p(n_(B)/(n_(A)+n_(B)))`
`184=200((3)/(3+2))+p_(B)^(@)((2)/(3+2))`
`184=200xx(3)/(5)+p_(B)^(@)xx(2)/(5)`
`184=120+p_(B)^(@)(2)/(5)`
`rArr64=p_(B)^(@)(2)/(5)`
`p_(B)^(@)=(64xx5)/(2)=160"torr"`

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