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A vessel has N(2) gas and water vapours ...

A vessel has `N_(2)` gas and water vapours at a total pressure of `1 atm`. The partial pressure of water vapours is `0.3atm`. The contents of this vessel are transferred to another vessel having one-third of the capacity of original volume, completely at the same temperature the total pressure of this system in the new vessel is

A

`3.0 atm`

B

`1 atm`

C

`3.33 atm`

D

`2.4 atm`

Text Solution

Verified by Experts

The correct Answer is:
D

`P'_(N_(2))+P'_(H_(2O))=1 atm`
`P'_(H_(2))O= 0.3 atm`
`P'_(N_(2))=0.7 atm`
Now new pressure of `N_(2)` in another, vessel of volume `V//3` at same temperature `T` is given by
`P_(N_(2))^('')xx(V_(1))/(3)= 0.7 V`
`:. P_(N_(2))=2.1 atm`
Since aqueous tension remains constatn, and thus total pressure in new vessel
`=P_(N_(2))+P_(H_(2)O)`
`=2.1+0.3= 2.4 atm`
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