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1 The Ideal Gas Law is a convenient approximation of most gas-phase reactions, but does not always sufficiently describe real gases near the condensation point, near the critical point, or at high pressures.  Two common models for real gases are the van der Waals model and the Redlich-Kwong model.
So while the ideal gas law is not 100% accurate for real gases, it is often a satisfactory approximation. It tells us that if a sealed (so N is constant), rigid (so V is constant) container is heated (increasing T), then the pressure inside the container will increase (and vice versa).