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

Options

A. `3.0 atm`
B. `1 atm`
C. `3.33 atm`
D. `2.4 atm`

Answer

D

Explanation

`P'_(N_(2))+P''_(H_(2)O)= 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)/(3)= 0.7V`
`:.P''_(N_(2))= 2.1 atm`
Since aqueos tension remains constant, and thus total pressure in new vessel
`= P''_(N_(2))+P'_(H_(2O))= 2.1 +0.3= 2.4 atm`