Solution Found!
A person inhales air richer in O2 and exhales air richer
Chapter 6, Problem 97P(choose chapter or problem)
A person inhales air richer in \(\mathrm{O}_{2}\) and exhales air richer in \(\mathrm{CO}_{2}\) and water vapor. During each hour of sleep, a person exhales a total of about \(300 L\) of this \(\mathrm{CO}_{2}\)-enriched and \(\mathrm{H}_{2} \mathrm{O}\)-enriched air.
(a) If the partial pressures of \(\mathrm{CO}_{2}\) and \(\(\mathrm{H}_{2} \mathrm{O}\)\) in exhaled air are each \(30.0 torr\) at 37.0°C, calculate the masses of \(\mathrm{CO}_{2}\) and of \(\(\mathrm{H}_{2} \mathrm{O}\)\) exhaled in 1 h of sleep.
(b) How many grams of body mass does the person lose in an 8-h sleep if all the \(\mathrm{CO}_{2}\) and \(\(\mathrm{H}_{2} \mathrm{O}\)\) exhaled come from the metabolism of glucose?
\(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s)+6 \mathrm{O}_{2}(g) \longrightarrow 6 \mathrm{CO}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(g)\)
Equation Transcription:
O2
CO2
H2O
37.0°C
Text Transcription:
O_2
CO_2
300 L
H_2O
30.0 torr
37.0°C
C_6H_12O_6(s)+6O_2(g) rightarrow 6CO_2(g)+6H_2O(g)
Questions & Answers
QUESTION:
A person inhales air richer in \(\mathrm{O}_{2}\) and exhales air richer in \(\mathrm{CO}_{2}\) and water vapor. During each hour of sleep, a person exhales a total of about \(300 L\) of this \(\mathrm{CO}_{2}\)-enriched and \(\mathrm{H}_{2} \mathrm{O}\)-enriched air.
(a) If the partial pressures of \(\mathrm{CO}_{2}\) and \(\(\mathrm{H}_{2} \mathrm{O}\)\) in exhaled air are each \(30.0 torr\) at 37.0°C, calculate the masses of \(\mathrm{CO}_{2}\) and of \(\(\mathrm{H}_{2} \mathrm{O}\)\) exhaled in 1 h of sleep.
(b) How many grams of body mass does the person lose in an 8-h sleep if all the \(\mathrm{CO}_{2}\) and \(\(\mathrm{H}_{2} \mathrm{O}\)\) exhaled come from the metabolism of glucose?
\(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s)+6 \mathrm{O}_{2}(g) \longrightarrow 6 \mathrm{CO}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(g)\)
Equation Transcription:
O2
CO2
H2O
37.0°C
Text Transcription:
O_2
CO_2
300 L
H_2O
30.0 torr
37.0°C
C_6H_12O_6(s)+6O_2(g) rightarrow 6CO_2(g)+6H_2O(g)
ANSWER:Solution 97P:
Step 1: (a)
Here, we are going to calculate the masses of CO2(g) and H2O(g) exhaled air in 1 h of sleep.
Given that,
We know 1.0 atm =760 torr
= 0.03947 atm
Therefore, calculation of moles of each gas:
From the ideal gas equation:
= 0.465 moles of gas
Thus, the no of each gas = 0.465 moles