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Two containers of volume 5L and 3L.conta...

Two containers of volume 5L and 3L.contain air at 3 standard atmospheres and 7 standard atmospheres respectively. The containers are now connected by a short narrow tube. What will be the common pressure in both the containers?

Text Solution

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Suppose the containers have `n_1` and `n_2` number of moles of the gas
`therefore 5 times 3=n_1RT`………(1)
and `3 times 7=n_2RT`…………(2)
Therefore , `15+21=(n_1+n_2)RT`[adding 1 and 2]
or,`(n_1+n_2)RT=36`
At constant temperature let the common pressure attained be p.
At the common pressure p
`p(5+3)=(n_1+n_2)RT=36`
`therefore p=36/8=4.5` standard atmosphere
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