A chemical engineer studies a sample of \(1.00\text{ mol}\) of \(\text{N}_2\text{(g)}\) at \(200\text{ K}\), a temperature at which no phase transition occurs. To isolate the effect of finite molecular volume, the engineer compares the following models.

\[ P_{\text{ideal}}=\dfrac{nRT}{V} \]

\[ P_{\text{vol}}=\dfrac{nRT}{V-nb} \]

In the second model, \(b\) is a positive constant that accounts for the volume occupied by the gas molecules. As the sample is compressed to progressively smaller container volumes, which statement correctly compares the pressures predicted by the two models and explains the comparison?