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 the average, 100 mL blood contains 0.02 g of `O_(2)` and 0.08 g of `CO_(2)`. Calculate the volume of `O_(2)` and `CO_(2)` at 1 atmosphere and body temperature of `37^(@)C` assuming 10 L of blood in human body.

Options

A. 2 litre , 4 litre
B. 1.5 litre , 4.5 litre
C. 1.59 litre , 4.627 litre
D. 3.82 litre , 4.62 litre

Answer

C

Explanation

No. of moles of `O_(2)` in 10 L blood = `(0.02 xx 10)/(0.1 xx 32) = (1)/(16)`
Number of moles of `CO_2` in 10 L blood = `(0.08 xx 10)/(0.1 xx 44) = (2)/(11)`
Volume of `O_2` at 1 atm and `37^(0) C = (0.0821 xx 310)/(16 xx 1) = 1.59` L
Volume of `CO_2` at atm and `37^(0) C = (2 xx 0.0821 xx 310)/(11 xx 1) = 4.627 L`