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A ring - shaped tube contains two ideal ...

A ring - shaped tube contains two ideal gases with equal masses and relative molar masses `M_(1)=32 and M_(2)=28`. The gases are separated by one fixed partition and another movable stopper S which can move freely without friction inside the ring . What is the value of the angel `alpha` (in degree) at equilibrium ?

Text Solution

Verified by Experts

The correct Answer is:
`192`

Pressure on both sides will be equal
i.e.`p_(1)=p_(2)`
`(n_(1)RT)/(V_(1))=(n_(2)RT)/(V_(2))" "(n=m/M)`
or `m/(M_(1)V_(1))=m/(M_(2)V_(2))` or `(V_(2))/(V_(1))=(M_(1))/(M_(2))=32/28=8/7`
`:.alpha=((360^(@))/(8+7))xx8=192^(@)`
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