What happens to the equilibrium 2so2(g)+o2(g)⇋2so3(g) if the volume of the system is increased?

Based on Le Chatelier's principle, if the equilibrium of a given reaction is disturbed through changes in temperature, pressure, volume or concentration, then it will shift in a direction so as to undo the effect of the change induced.

The given reaction is:

2SO2(g) + O2(g) ↔ 2SO3(g)

As per Boyle's law,

V α 1/P

as the volume is increased the pressure of the system would decrease. The equilibrium would then shift in a direction of increased pressure. This would be towards the reactants where there are more moles of the gas.

Therefore, the equilibrium would shift to the left towards the reactants.

that tool would be a compass