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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