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Liquid ‘M’ and liquid ‘N’ form an ideal ...

Liquid ‘M’ and liquid ‘N’ form an ideal solution. The vapour pressures of pure liquids ‘M’ and ‘N’ are 450 and 700 mmHg, respectively, at the same temperature. Then correct statement is:
( `x_(M)=`Mole fraction of ‘M’ in solutions , `" " x_(N)=` Mole fraction of ‘N’ in solution ,
`y_(M)=`Mole fraction of ‘M’ in vapour phase , `" " y_(N)=` Mole fraction of ‘n’ in vapour phase)

A

`(x_(M))/(x_(N))=(y_(M))/(y_(N))`

B

`(x_(M)-y_(M))lt(x_(N) -y_(N))`

C

`(x_(M))/(x_(N))lt(y_(M))/(y_(N))`

D

`(x_(M))/(x_(N)) gt (y_(M))/(y_(N))`

Text Solution

Verified by Experts

The correct Answer is:
D
`P_(M)^(@)="450 mm Hg, "P_(N)^(@)= "700 mmHg"`
`P_(N)=P_(M)^(@)x_(M)=y_(M)P_(T)`
`rArr" "P_(M)^(@)=(y_(M))/(x_(M))(P_(T))`
`"Similarly, "P_(N)^(@)=(y_(N))/(x_(N))(P_(T))`
`"Given, "P_(M)^(@) lt P_(N)^(@)`
`rArr" "(y_(M))/(x_(M))lt(y_(M))/(x_(N))`
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