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Air entering the lungs ends up in tiny sacs called alveoli.Fro

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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 per cent oxygen. Assuming that the pressure in the alveoli is 1.0 atm and the temperature is $37^{\circ} C$ , calculate the number of oxygen molecules in one of the alveoli.

6 \times 10^{13}

10^{24}

1.7 \times 10^{22}

1.7 \times 10^{12}

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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 per cent oxygen. Assuming that the pressure in the alveoli is 1.0 atm and the temperature is

37^{\circ} C

, calculate the number of oxygen molecules in one of the alveoli.

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Text solutionVerified

Answer: dSolution: (d) Volume of alveoli =

= \frac{4}{3} π R^{3}

= \frac{4}{3} \times 3.14 \times (5 \times 10^{- 3})^{3} m L

= 5.23 \times 10^{- 7} m L = 5.23 \times 10^{- 10} L

n_{2} = \frac{14}{100} \times n_{a i r} = 0.14 \times \frac{P V}{R T}

0.14 \times 1 \times \frac{5.23 \times 10 ^{- 10}}{0.0821 \times 310}

= 2.87 \times 10^{- 12}

Molecules

= 2.87 \times 6.02 \times 10^{23} \times 10^{- 12}

= 1.7 \times 10^{12}

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Question Text	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 per cent oxygen. Assuming that the pressure in the alveoli is 1.0 atm and the temperature is $37^{\circ} C$ , calculate the number of oxygen molecules in one of the alveoli.
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

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