A 2.0-cmcm-diameter, 0.50-mmmm-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...


A 2.0-cmcm-diameter, 0.50-mmmm-thick<br>spherical plastic shell holds carbon dioxide<br>at 2.0 atm pressure and 25°C. CO2<br>molecules diffuse out of the shell into the<br>surrounding air, where the carbon dioxide<br>concentration is essentially zero. The<br>diffusion coefficient of carbon dioxide in the<br>plastic is 2.5x10-12 m2/s.<br>a. What is the diffusion rate in molecules/s<br>of carbon dioxide out of the shell? Express<br>your answer in molecules per second.<br>b. If the rate from part A is maintained, how<br>long in hours will it take for the carbon<br>dioxide pressure to decrease to 1.0 atm?<br>The actual rate slows with time as the<br>concentration difference decreases, but<br>assuming a constant rate gives a<br>reasonable estimate of how long the shell<br>will contain the carbon dioxide. Express<br>answer in hours.<br>

Extracted text: A 2.0-cmcm-diameter, 0.50-mmmm-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 2.5x10-12 m2/s. a. What is the diffusion rate in molecules/s of carbon dioxide out of the shell? Express your answer in molecules per second. b. 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 answer in hours.

Jun 10, 2022
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