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Standard XII

Mathematics

Definition of Functions

The circulati...

Question

The circulation of blood in human body supplies $O_{2}$ and releases $C O_{2}$ . The concentration of $O_{2}$ and $C O_{2}$ is variable but on the average, 100 $m L$ blood contains 0.02 $g$ of $O_{2}$ and 0.08 $g$ $C O_{2}$ . The volume of $O_{2}$ and $C O_{2}$ at 1 $a t m$ and body temperature $37^{o} C$ , assuming 10 litre blood in human body is:

2 litre, 4 litre

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1.5 litre, 4.5 litre

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1.59 litre, 4.62 litre

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3.82 litre, 4.62 litre

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Solution

The correct option is C 1.59 litre, 4.62 litre
According to given data,
$∵$ 100 $m L$ blood has 0.02 $g$ $O_{2}$ and 0.08 $g C O_{2}$
$∴ 10, 000$ $m L$ $(10 L)$ blood has $2 g O_{2}$ and $8 g C O_{2}$
Using ideal gas equation
$P V = n R T$ ,
For $O_{2} : 1 \times V = \frac{2}{32} \times 0.0821 \times 310$
$V_{O_{2}} = 1.59 l i t r e$
For $C O_{2} : 1 \times V = \frac{8}{44} \times 0.0821 \times 310$
$V_{C O_{2}} = 4.62 l i t r e$

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The circulation of blood in human body supplies O2 and releases CO2. The concentration of O2 and CO2 is variable but on the average, 100 mL blood contains 0.02 g of O2 and 0.08 g CO2. The volume of O2 and CO2 at 1 atm and body temperature 37oC, assuming 10 litre blood in human body is:

The correct option is C 1.59 litre, 4.62 litreAccording to given data,∵ 100 mL blood has 0.02 g O2 and 0.08 gCO2∴10,000 mL (10L) blood has 2gO2 and 8gCO2Using ideal gas equationPV=nRT, For O2:1×V=232×0.0821×310VO2=1.59litreFor CO2:1×V=844×0.0821×310VCO2=4.62litre