Final answer:
The patient's static lung compliance is calculated by dividing the tidal volume (500 mL) by the difference between the plateau pressure (15 cm H2O) and the PEEP (5 cm H2O), resulting in a compliance of 50 mL/cm H2O.
Step-by-step explanation:
The static lung compliance can be calculated using the formula: C₃ = VT / (PIP - PEEP). In this case, the VT is 500 mL, the PIP is 25 cm H2O, and the PEEP is 5 cm H2O.
Static Lung Compliance (Cstat) = VT / (Pplat - PEEP).
In this scenario, the Tidal Volume (VT) is 500 mL, the Plateau Pressure (Pplat) is 15 cm H2O, and the Positive End-Expiratory Pressure (PEEP) is 5 cm H2O.
Static lung compliance is then calculated as follows:
Cstat = 500 mL / (15 cm H2O - 5 cm H2O)
Cstat = 500 mL / 10 cm H2O
Cstat = 50 mL/cm H2O.
Therefore, the patient's static lung compliance is 25 mL/cm H2O.