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11/09/2021 11:57 am
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Air entering the lungs ends up in tiny sacs called alveoli. From the alveoli, the oxygen diffuses into the blood. The average radius of the alveoli is 0.0050 cm and the air inside contains 14 percent oxygen. Assuming that the pressure in the alveoli is 1.0 atm and the temperature is 37°C, calculate the number of oxygen molecules in one of the alveoli.
(a) 6 × 1013
(b) 1024
(c) 1.7 × 1022
(d) 1.7 × 1012
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11/09/2021 12:04 pm
Correct answer: (d) 1.7 × 1012
Explanation:
Volume of alveoli = \(\frac{4}{3}\pi R^3\)
= \(\frac{4}{3}\) x 3.14 x (5 x 10-3)3 mL
= 5.23 x 10-7 mL = 5.23 x 10-7 L
n2 = \(\frac{14}{100}\) x nair = 0.14 x \(\frac{PV}{RT}\)
= 0.14 x 1 x \(\frac{5.23 \times 10^{-10}}{0.0821 \times 310}\)
= 2.87 x 10-12
Molecules = 2.87 × 6.02 ×1023 × 10-12
= 1.7 × 1012