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Two vessels are connected by a valve of ...

Two vessels are connected by a valve of negligible volume. One container, A has 2.8 g `N_(2)` at `T_(1)K`. The other container, B is completely evacuated. The container A is heated to `T_(2)K`, while container B is maintained at `T_(2)/3 K` . Volume of A is half that of B. If the valve is opened, then

A

`1:2`

B

`1:3`

C

`1:6`

D

`3:1`

Text Solution

Verified by Experts

The correct Answer is:
c
(c)
Let x mole of `N_(2)` present into vessel II and P is final pressure of `N_(2)`
`P(2V)=xR(T_(2)//3)and P(V)=(0.1-x)RT_(2)`
`implies " "2=(x)/(3(0.1-x))`
`implies" "x=0.6//7"moles",`
`(0.6)/(7)xx28implies2.4 g N_(2)`
II has 2.4 g `N_(2)` and I has 0.4 g of `N_(2),`
`(W_(I))/(W_(II))=(0.4)/(2.4)implies1:6`
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