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Ideal Gas Equation

The circulati...

Question

The circulation of blood in the human body supplies $O_{2}$ and releases $C O_{2}$ . The concentration of $O_{2}$ and $C O_{2}$ is variable but on an average, 100 ml blood contains 0.02 g of $O_{2}$ and 0.08 g of $C O_{2}$ . The volume of $O_{2}$ and $C O_{2}$ at 1 atm and at body temperature $37^{\circ} C$ , assuming 10 l blood in the human body is:

A

2 l, 4 l

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B

1.5 l, 4.5 l

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C

1.59 l, 4.62 l

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D

3.82 l, 4.62 l

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Solution

The correct option is C $1.59 l, 4.62 l$
$∵$ 100 ml blood has $0.02 g O_{2}$ and $0.08 g C O_{2}$
$∵$ 10,000 ml blood has $2 g O_{2}$ and $8 g C O_{2}$
Using $P V = n R T$ ,
For $O_{2}$ ,
$1 \times V_{O_{2}} = \frac{2}{32} \times 0.0821 \times 310$
$\Rightarrow V_{O_{2}} = 1.59 litre$
For $C O_{2}$ , $1 \times V_{C O_{2}} = \frac{8}{44} \times 0.0821 \times 310 \Rightarrow V_{C O_{2}} = 4.62 litre$

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Ideal Gas Equation

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