Worked example 1
An athlete is exercising vigorously. The partial pressure of oxygen () in their lungs is 13.3 kPa, and the in their active muscle tissue drops to 2.5 kPa. Given that the oxygen-carrying capacity of their blood is 20 of per 100 of blood, calculate the volume of oxygen delivered to the muscles per 100 of blood. Use the following data from the oxygen dissociation curve:
- At = 13.3 kPa, haemoglobin saturation is 98%.
- At = 2.5 kPa, haemoglobin saturation is 25%.
Show solution outline
Step 1: Determine the oxygen saturation in the lungs and muscles.
- Saturation in lungs (leaving alveoli) = 98%
- Saturation in muscles (active tissue) = 25%
Step 2: Calculate the percentage of oxygen unloaded to the tissues.
- Change in saturation = Saturation in lungs - Saturation in muscles
- Change in saturation = 98% - 25% = 73%
Step 3: Calculate the volume of oxygen released per 100 of blood.
- The blood's maximum oxygen-carrying capacity (at 100% saturation) is 20 per 100 of blood.
- Volume of released = (Change in saturation / 100) Maximum capacity
- Volume of released = (73 / 100) 20
- Volume of released = 0.73 20 = 14.6
Final Answer: 14.6 of oxygen is delivered to the muscles per 100 of blood.