What happens when an inert gas is added to an equilibrium keeping volume unchanged?
When an inert gas is added to the system in equilibrium at constant volume, the total pressure will increase. But the concentrations of the products and reactants (i.e. ratio of their moles to the volume of the container) will not change.
Hence, when an inert gas is added to the system in equilibrium at constant volume there will be no effect on the equilibrium.