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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 will not change. So, the equilibrium does not change. The number of moles per unit volume remains the same.
Concentration is dependent on the number of moles and volume (n/v). Though adding inert gas does change the pressure, it changes neither of the number of moles nor the volume which means concentration stays the same! If you changed pressure by changing the volume, then concentration would change and Q would change. However, remember that the only thing that can change K is temperature.
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