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CO2 Levels in Scott Carpenter Space Analog Station: Aquanauts' Impact, Study Guides, Projects, Research of Introduction to Business Management

Capital Community College Introduction to Business Management

A mathematical analysis of the amount of carbon dioxide (co2) in the scott carpenter space analog station when aquanauts are present and when the fresh air supply is cut off. Calculations for the amount of co2 in the cabin, the rate of co2 production, and the rate of co2 removal. The analysis is based on the given information about the cabin volume, airflow rate, and co2 concentrations.

Typology: Study Guides, Projects, Research

Pre 2010

Uploaded on 08/05/2009

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Project Grant Team

John S. Pazdar Patricia L. Hirschy

Project Director Principal Investigator

Capital Community College Asnuntuck Community College

Hartford, Connecticut Enfield, Connecticut

This project was supported, in part, by the Peter A. Wursthorn

National Science Foundation Principal Investigator

Opinions expressed are those of the authors Capital Community College

and not necessarily those of the Foundation Hartford, Connecticut

SPINOFFS

Spinoffs are relatively short learning modules inspired by the LTAs. They can be easily

implemented to support student learning in courses ranging from prealgebra through calculus.

The Spinoffs typically give students an opportunity to use mathematics in a real world context.

LTA - SPINOFF 19A Bubbles

LTA - SPINOFF 19B Designing the Scott Carpenter

Space Analog Station

LTA - SPINOFF 19C Carbon Dioxide Buildup in the

Scott Carpenter Space Analog Station

Jeanne Bowman - AMATYC Writing Team Member

University of Cincinnati, Cincinnati, Ohio

Peg Greene - AMATYC Writing Team Member

Florida Community College at Jacksonville, Jacksonville, Florida

Dennis Chamberland - NASA Scientist/Engineer

Kennedy Space Center, Florida

Gus Koerner - NASA Scientist/Engineer

Kennedy Space Center, Florida

Partial preview of the text

Download CO2 Levels in Scott Carpenter Space Analog Station: Aquanauts' Impact and more Study Guides, Projects, Research Introduction to Business Management in PDF only on Docsity!

Project Grant Team

John S. Pazdar Patricia L. Hirschy Project Director Principal Investigator Capital Community College Asnuntuck Community College Hartford, Connecticut Enfield, Connecticut

This project was supported, in part, by the Peter A. Wursthorn National Science Foundation Principal Investigator Opinions expressed are those of the authors Capital Community College and not necessarily those of the Foundation Hartford, Connecticut

SPINOFFS

Spinoffs are relatively short learning modules inspired by the LTAs. They can be easily implemented to support student learning in courses ranging from prealgebra through calculus. The Spinoffs typically give students an opportunity to use mathematics in a real world context.

LTA - SPINOFF 19A Bubbles

LTA - SPINOFF 19B Designing the Scott Carpenter

Space Analog Station

LTA - SPINOFF 19C Carbon Dioxide Buildup in the

Scott Carpenter Space Analog Station

Jeanne Bowman - AMATYC Writing Team Member University of Cincinnati, Cincinnati, Ohio

Peg Greene - AMATYC Writing Team Member Florida Community College at Jacksonville, Jacksonville, Florida

Dennis Chamberland - NASA Scientist/Engineer Kennedy Space Center, Florida

Gus Koerner - NASA Scientist/Engineer Kennedy Space Center, Florida

**NASA - AMATYC - NSF

16**

SPINOFF 19C

Carbon Dioxide Buildup in the Scott Carpenter Space Analog Station

Part A

The cabin of the Scott Carpenter Space Analog Station has an approximate volume of 7000 liters. Air flows into the underwater cabin through a line from the surface at a rate of 15 cubic feet per minute, or 424.65 liters per minute. Air bubbles out though the open hatch at the bottom of the cabin at the same rate. The air flowing in has a carbon dioxide (CO 2 ) concentration of 0.04%. An aquanaut in the Station exhales air with a carbon dioxide concentration of 4%. This excess CO 2 must be removed before it reaches a level that is dangerous to the aquanauts, 20, parts per million, or 2%.

How many liters of CO 2 in the cabin would be dangerous to the aquanauts?

We would like to determine the amount of CO 2 normally present in the cabin, and then see what happens if the supply of fresh air is cut off. We will assume that all air mixes instantaneously in the cabin.

How many liters of CO 2 are in the air in the cabin when no aquanauts are present, assuming the airflow from the surface is constant?
How many liters of CO 2 are flowing into the cabin each minute?
If an aquanaut breathes 16 times per minute, and each breath has a volume of 0.5 liter, how many liters of CO 2 are exhaled by one aquanaut each minute?
What is the total amount of CO 2 coming into the cabin each minute, both from the air flowing in from the surface and from the breathing of the aquanaut?

Let A = the amount of CO 2 in the cabin t minutes after the aquanaut entered the Station. The notation, A(t), is also used to emphasize that the amount is a function of time.

Write an expression in terms of A for the amount of CO 2 bubbling out the hatch at the bottom of the cabin. Hint: The units for your answer will be liters per minute.
Use this information to write an expression for dA/dt, the rate of change in the amount of CO 2 in the cabin at time t, and solve this equation. (Remember what you know about the amount of CO 2 present initially.)

dA/dt = rate in – rate out __________________________________________ The solution of the differential equation, A(t) = _____________________________

Sketch the graph of your solution. What happens to the amount of CO 2 in the cabin? Is the level of CO 2 dangerous to the aquanaut?