The maximum rate I at which oxygen molecules can be consumed by a bacterium or radius R in a lake where the concentration of oxygen is co = 0.2 mole m-³ increases with the first power of R. We might expect the oxygen consumption, however, to increase roughly with an organism's volume. Together, this statements imply an upper limit to the size of a bacterium: If R gets too large, the bacterium would literally suffocate. The actual metabolic activity of a bacterium is about 0.02 mole kg' s'. What limit do you then get on the size R of a bacterium? Compare to the size of a real bacteria. Can you think of some way for a bacterium to evade this limit?
The maximum rate I at which oxygen molecules can be consumed by a bacterium or radius R in a lake where the concentration of oxygen is co = 0.2 mole m-³ increases with the first power of R. We might expect the oxygen consumption, however, to increase roughly with an organism's volume. Together, this statements imply an upper limit to the size of a bacterium: If R gets too large, the bacterium would literally suffocate. The actual metabolic activity of a bacterium is about 0.02 mole kg' s'. What limit do you then get on the size R of a bacterium? Compare to the size of a real bacteria. Can you think of some way for a bacterium to evade this limit?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:The maximum rate I at which oxygen molecules can be consumed by a bacterium or
radius R in a lake where the concentration of oxygen is co = 0.2 mole m³ increases
with the first power of R. We might expect the oxygen consumption, however, to
increase roughly with an organism's volume. Together, this statements imply an upper
limit to the size of a bacterium: If R gets too large, the bacterium would literally
suffocate. The actual metabolic activity of a bacterium is about 0.02 mole kg-' sl.
What limit do you then get on the size R of a bacterium? Compare to the size of a real
bacteria. Can you think of some way for a bacterium to evade this limit?
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