Gases in Equilibrium!

A thermally conducting piston can move freely in a thermally insulated cylindrical vessel, separating two compartments. Compartment \(1\) contains \(14mg\) of \(N_2\) gas and compartment 2 contains \(20mg\) of \( He\) gas. When the piston attains its equilibrium position, the length of compartment \(1\) becomes \(L_1\) and that of compartment \(2\) becomes \(L_2\) (see figure). The molecular weight of nitrogen is \(28\) and that of helium is \(4\). Then the ratio is \(\frac{L_1}{L_2}\)

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