Question

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

Answer 1

Pressure on both sides will be equal
$i.e.,,p_1=p_2$
$\frac{n_{1}RT}{V_1}=\frac{n_{2}RT}{V_2}\left(n=\frac{m}{M}\right)$
or $\frac{m}{M_1{V}_1}=\frac{m}{M_2{V}_2}$
or $\frac{V_2}{V_1}=\frac{M_1}{M_2}=\frac{32}{28}=\frac{8}{7}$
$\therefore \alpha =\left(\frac{360^{\circ }}{8+7}\right)\times 8=192^{\circ }$