The volume of a microbial culture is observed to increase according to the formula V(cm³) = e where is time is seconds. (a) Calculate the expression for V(in.³) in terms of r(h). (b) Both the exponential function and its argument must be dimensionless. The given equation. seems to violate both of these rules, and yet the equation is valid. Explain this paradox. [Hint: Observe the result of part (a).]
The volume of a microbial culture is observed to increase according to the formula V(cm³) = e where is time is seconds. (a) Calculate the expression for V(in.³) in terms of r(h). (b) Both the exponential function and its argument must be dimensionless. The given equation. seems to violate both of these rules, and yet the equation is valid. Explain this paradox. [Hint: Observe the result of part (a).]
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![2.27. The volume of a microbial culture is observed to increase according to the formula
V(cm³) = e
where is time is seconds.
(a) Calculate the expression for V(in.³) in terms of r(h).
(b) Both the exponential function and its argument must be dimensionless. The given equation
seems to violate both of these rules, and yet the equation is valid. Explain this paradox. [Hint:
Observe the result of part (a).]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcef3f1b2-56cd-4f45-949e-fc7a38ef994c%2F38dcd371-5e7e-448d-a4e7-5d9b6c4a9278%2F13jpie_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.27. The volume of a microbial culture is observed to increase according to the formula
V(cm³) = e
where is time is seconds.
(a) Calculate the expression for V(in.³) in terms of r(h).
(b) Both the exponential function and its argument must be dimensionless. The given equation
seems to violate both of these rules, and yet the equation is valid. Explain this paradox. [Hint:
Observe the result of part (a).]
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