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A ring shaped tube contain two ideal gas...

A ring shaped tube contain two ideal gases with equal masses and relative molar masses `M_1=32 and M_2=28.`
The gases are separated by one fixed partiotin and another movable stopper S which can move freely without friction inside the ring. The angle `alpha` as shown in the figure is ...... degrees.

Text Solution

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Pressure on both sides will be equal
`p_(1)=p_(2)`
i.e., `(n_(1)RT)/(V_(1))=(n_(2)RT)/(V_(2))(n=(m)/(M))`
`(m)/(M_(1)V_(1))=(m)/(M_(1)V_(2))` or `(V_(2))/(V_(1))=(M_(1))/(M_(2))=(32)/(28)=(8)/(7)`
but `(V_(2))/(V_(1))=(alpha)/(360-alpha)`
Solve to get `alpha=((360^(@))/(8+7))xx 8=192^(@)`
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