Final answer:
The patient's static lung compliance is 50 mL/cm H₂O.
Step-by-step explanation:
The static lung compliance of a patient can be calculated using the formula:
Static Compliance = Tidal Volume (VT) / (Plateau Pressure (Pplat) - PEEP)
Given that the VT is 500 mL, the Pplat is 15 cm H₂O, and the PEEP is 5 cm H₂O, we can substitute these values into the formula:
Static Compliance = 500 mL / (15 cm H₂O - 5 cm H₂O) = 500 mL / 10 cm H₂O = 50 mL/cm H₂O
Therefore, the patient's static lung compliance is 50 mL/cm H₂O, which corresponds to option 4.