To solve this problem, we need to calculate the amount of oxygen inhaled and exhaled, and then find the difference between these amounts.
1. Given Data:
- Volume of air inhaled: [tex]\(500 \, \text{mL}\)[/tex]
- Percentage of oxygen in inhaled air: [tex]\(22.85\%\)[/tex]
- Percentage of oxygen in exhaled air: [tex]\(4.57\%\)[/tex]
2. Calculating the Volume of Oxygen Inhaled:
- The volume of oxygen inhaled is given by the percentage of oxygen in the inhaled air multiplied by the total volume of air inhaled.
[tex]\[
\text{Volume of oxygen inhaled} = \frac{22.85}{100} \times 500 \, \text{mL}
\][/tex]
- This gives:
[tex]\[
\text{Volume of oxygen inhaled} = 114.25 \, \text{mL}
\][/tex]
3. Calculating the Volume of Oxygen Exhaled:
- The volume of oxygen exhaled is given by the percentage of oxygen in the exhaled air multiplied by the total volume of air exhaled.
[tex]\[
\text{Volume of oxygen exhaled} = \frac{4.57}{100} \times 500 \, \text{mL}
\][/tex]
- This gives:
[tex]\[
\text{Volume of oxygen exhaled} = 22.85 \, \text{mL}
\][/tex]
4. Finding the Difference Between the Amount of Oxygen Inhaled and Exhaled:
- To find the difference, we subtract the volume of oxygen exhaled from the volume of oxygen inhaled.
[tex]\[
\text{Difference} = \text{Volume of oxygen inhaled} - \text{Volume of oxygen exhaled}
\][/tex]
- This gives:
[tex]\[
\text{Difference} = 114.25 \, \text{mL} - 22.85 \, \text{mL} = 91.4 \, \text{mL}
\][/tex]
Thus, the difference between the amount of oxygen inhaled and the amount of oxygen exhaled is [tex]\(91.4 \, \text{mL}\)[/tex].
