Final answer:
The arterial-venous oxygen content difference, C(a-v)O2, for the patient is calculated using the provided arterial and venous oxygen saturation values, hemoglobin concentration, and the oxygen-carrying capacity of hemoglobin. The calculated value is 5.0 vol%.
Step-by-step explanation:
The question requires the calculation of the patient's arterial-venous oxygen content difference, C(a-v)O2, which reflects the amount of oxygen extracted by the tissues from the blood. To calculate this value, we use the following formula:
C(a-v)O2 = (SaO2 x Hb x 1.34 x 10) - (SvO2 x Hb x 1.34 x 10)
Where:
SaO2 = Arterial oxygen saturation, SvO2 = Venous oxygen saturation, Hb = Hemoglobin concentration, and 1.34 is the oxygen-carrying capacity of hemoglobin in mL/g.
Using the given patient's data:
SaO2 = 92% or 0.92
SvO2 = 66% or 0.66
Hb = 14 g/dL
C(a-v)O2 = (0.92 x 14 x 1.34 x 10) - (0.66 x 14 x 1.34 x 10)
C(a-v)O2 = (173.648) - (123.864)
C(a-v)O2 = 49.784 mL/dL or 4.9784 vol%
After rounding, the answer is 5.0 vol%.