A 4.5-cm-diameter, 0.50-mm-thick spherical plastic shell holds carbon dioxide at 2.0 atm pressure and 25° C. CO₂ molecules diffuse out of the shell into the surrounding air, where the carbon dioxide concentration is essentially zero. The diffusion coefficient of carbon dioxide in the plastic is 2.5 × 10-¹² m²/s.

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter2: The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 52P: The partial pressure of carbon dioxide in the lungs is about 470 Pa when the total pressure in the...
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Part A
What is the diffusion rate in molecules/s of carbon dioxide out of the
shell?
Express your answer in molecules per second.
dN
dt
=
Submit
Part B
At =
VE ΑΣΦ
Submit
Request Answer
If the rate from part A is maintained, how long in hours will it take for the
carbon dioxide pressure to decrease to 1.0 atm? The actual rate slows
with time as the concentration difference decreases, but assuming a
constant rate gives a reasonable estimate of how long the shell will
contain the carbon dioxide.
Express your answer in hours.
VE ΑΣΦ
] ?
Request Answer
molecules/s
?
hours
Transcribed Image Text:Part A What is the diffusion rate in molecules/s of carbon dioxide out of the shell? Express your answer in molecules per second. dN dt = Submit Part B At = VE ΑΣΦ Submit Request Answer If the rate from part A is maintained, how long in hours will it take for the carbon dioxide pressure to decrease to 1.0 atm? The actual rate slows with time as the concentration difference decreases, but assuming a constant rate gives a reasonable estimate of how long the shell will contain the carbon dioxide. Express your answer in hours. VE ΑΣΦ ] ? Request Answer molecules/s ? hours
A 4.5-cm-diameter, 0.50-mm-thick spherical
plastic shell holds carbon dioxide at 2.0 atm
pressure and 25°C. CO2 molecules diffuse out of
the shell into the surrounding air, where the carbon
dioxide concentration is essentially zero. The
diffusion coefficient of carbon dioxide in the plastic
is 2.5 × 10-¹² m²/s.
Transcribed Image Text:A 4.5-cm-diameter, 0.50-mm-thick spherical plastic shell holds carbon dioxide at 2.0 atm pressure and 25°C. CO2 molecules diffuse out of the shell into the surrounding air, where the carbon dioxide concentration is essentially zero. The diffusion coefficient of carbon dioxide in the plastic is 2.5 × 10-¹² m²/s.
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