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

States of Matter

Solution:

$\because$ $100\, ml$ blood has $0.02\, g$ $O_{2}$ and $0.08\,g\,CO_{2}$
$\therefore $ $10,000\, ml$ blood has $2\,g\,O_{2}$ and $8\,g\,CO_{2}$
Using $PV= nRT$
for $O_{2}$, $1\times V_{o_2}=\frac{2}{32}\times0.0821\times310$
$\Rightarrow V_{o_2}=1.59$ Litre
for $CO_{2}, 1\times V_{CO_2} =\frac{8}{44}\times0.0821\times310$
$\Rightarrow V_{o_2}=4.62$ Litre