Question

The circulation of blood in human body supplies $O_2$ and releases ${CO}_2$.The concentration of $O_2$ and ${CO}_2$ is variable. On the average, $100ml$ blood contains $0.02g$ of $O_2$ and $0.08g$ of ${CO}_2$. The volume of $O_2$ and ${CO}_2$ at $1atm$ and body temperature ${37}^{0}C$, assuming $10litres$ blood in human body is:

$[R=0.0821Latm{vol}^{-1}{K}^{-1}]$

• A. $2litres,4litres$
• B. $1.5litres,4.5litres$
• C. $1.59litres,4.62litres$
• D. $3.82litres,4.62litres$

Answer 1

The correct option is C $1.59litres,4.62litres$

$0.1L$ blood contains $0.02g$ $O_2$ & $0.08g$ $C{O}_2$

$\therefore 10L$ blood contains $2g$ $O_2$ & $8g$ $C{O}_2$

For $O_2$, $PV=nRT$

$\Rightarrow 1\times V_{O_2}=\frac{2}{32}\times 0.0821\times 310$

$\therefore V_{O_2}=1.59L$

For, $C{O}_2,1\times V_{C{O}_2}=\frac{8}{44}\times 0.0821\times 310$

$\therefore V_{C{O}_2}=4.62L$