Final answer:
To increase K for the endothermic reaction N2O4 (g) → 2NO2 (g), you should add heat to the system, shifting the equilibrium towards the products and increasing K.
Step-by-step explanation:
To increase the magnitude of the equilibrium constant (K) for the given reaction:
N₂O₄ (g) → 2NO₂ (g)
you would need to add heat to the system. Since the forward reaction is endothermic, adding heat shifts the equilibrium towards the production of NO₂, thus increasing the value of K. In thermodynamics, this is because temperature is the only factor that can change the value of the equilibrium constant, while changes in concentration, pressure, or volume do not affect K.