Atmosphere. Here the total pressure is 760mmHg at sea level, and \(760 \cdot FiO_2 = 760 \cdot 0.21 = 160\text{mmHg}\)
Isothermic saturation boundary. Here the gas is heated to 37% and 100% relative humidity; here 47mmHg of H2O dilutes atmospheric gas, leaving \((760-47) \cdot 0.21 = 713 \cdot 0.21 = 150\text{mmHg}\)
Alveolus. Here the gas is diluted by CO2 diffusing out of the blood. Via the alveolar gas equation:
$$P_AO_2 = (760 - P_AH_2O) \cdot FiO_2 - \frac{P_aCO_2}{RQ}$$
$$P_AO_2 = 150 - P_aCO_2 \cdot 1.25$$
$$P_AO_2 = 150 - 50 = 100$$
Arterial blood. Here the oxygen tension is diluted by venous admixture (from thebesian and bronchial veins). The difference between this and the PAO2 is the A-a gradient (normal is 7 in youth, 14 in age), so PaO2 = 92
Tissue. Tension drop due to diffusion distance, PO2 10-30mmHg
Mitochondria. Tension drop due to diffusion distance, PO2 1-10mmHg