To tackle the problem, we will follow a systematic approach:
1. Determine the volume of air being inhaled and exhaled.
[tex]\[
\text{Volume of air} = 500 \text{ mL}
\][/tex]
2. Determine the percentage of oxygen in inhaled and exhaled air.
- For inhaled air, the percentage of oxygen is [tex]\( 20.94\% \)[/tex].
- For exhaled air, the percentage of oxygen is [tex]\( 16.37\% \)[/tex].
3. Calculate the volume of oxygen in the inhaled air.
[tex]\[
\text{Volume of oxygen inhaled} = \text{Volume of air} \times \left( \frac{\text{Percentage of oxygen inhaled}}{100} \right)
\][/tex]
Plugging in the values:
[tex]\[
\text{Volume of oxygen inhaled} = 500 \times \left( \frac{20.94}{100} \right) = 500 \times 0.2094 = 104.7 \text{ mL}
\][/tex]
4. Calculate the volume of oxygen in the exhaled air.
[tex]\[
\text{Volume of oxygen exhaled} = \text{Volume of air} \times \left( \frac{\text{Percentage of oxygen exhaled}}{100} \right)
\][/tex]
Plugging in the values:
[tex]\[
\text{Volume of oxygen exhaled} = 500 \times \left( \frac{16.37}{100} \right) = 500 \times 0.1637 = 81.85 \text{ mL}
\][/tex]
5. Calculate the difference between the volume of oxygen inhaled and the volume of oxygen exhaled.
[tex]\[
\text{Difference in oxygen volume} = \text{Volume of oxygen inhaled} - \text{Volume of oxygen exhaled}
\][/tex]
Plugging in the calculated values:
[tex]\[
\text{Difference in oxygen volume} = 104.7 \text{ mL} - 81.85 \text{ mL} = 22.85 \text{ mL}
\][/tex]
As a result, the difference between the amount of oxygen inhaled and the amount of oxygen exhaled is:
[tex]\[
\boxed{22.85 \text{ mL}}
\][/tex]
This confirms that the correct amount of oxygen difference between inhalation and exhalation is [tex]\( 22.85 \text{ mL} \)[/tex].
