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Determine the volume of air containing 2...

Determine the volume of air containing 20% oxygen by volume, that would have to be inhaled at `20^(@)`C and 1.0 atm to consume 1.00 kg of fat `C_(57) H_(110) O_(6)` assuming that only 70% (by volume) of the oxygen present in the air is used up in combustion.

A

15715 L

B

23123 L

C

18832 L

D

16312 L

Text Solution

Verified by Experts

The correct Answer is:
A

The combustion reactions is `C_(57) H_(110) O_(6) + (163)/(2) O_(2) to 57 CO_(2) + 55 H_(2) O implies n = (1000)/(890) = (100)/(89)`
Moles of `O_(2)` required = `(100)/(89) xx (163)/(2)` (theoretical)
Actual moles of `O_(2)` required = `(100)/(89) xx (163)/(2) xx (100)/(70) = 130.82`
`V_(O_2)` required = `130.82 xx 0.082 xx 293 = 3143` L , Volume of the air required `= 3143 xx (100)/(20) = 15715`
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