ve Q3. Péclet number - We've seen the Péclet number Pé =, as a useful metric to determine if stirring (Pé > 1) is more efficient than diffusion (Pé < 1) for mixing solutions. "Stirring" here can designate any process which applies a force on the molecules, resulting in a velocity v. a) Show that the Péclet number, like the Reynolds number, is unitless. Let's think about why scale (l) matters for mixing. λ-DNA, a DNA polymer containing 48,502 base pairs, has a diffusion coefficient of D 6.4 x 10-13 m² s-¹. Under an electric field of 1 V/m, we can expect λ-DNA to reach a terminal velocity of 30 nm/s. = b) Find the Péclet number for a system of dimension of l = 10 cm. This corresponds to the scale of most benchtop instruments used to manipulate or separate biomolecules.
ve Q3. Péclet number - We've seen the Péclet number Pé =, as a useful metric to determine if stirring (Pé > 1) is more efficient than diffusion (Pé < 1) for mixing solutions. "Stirring" here can designate any process which applies a force on the molecules, resulting in a velocity v. a) Show that the Péclet number, like the Reynolds number, is unitless. Let's think about why scale (l) matters for mixing. λ-DNA, a DNA polymer containing 48,502 base pairs, has a diffusion coefficient of D 6.4 x 10-13 m² s-¹. Under an electric field of 1 V/m, we can expect λ-DNA to reach a terminal velocity of 30 nm/s. = b) Find the Péclet number for a system of dimension of l = 10 cm. This corresponds to the scale of most benchtop instruments used to manipulate or separate biomolecules.
Biology 2e
2nd Edition
ISBN:9781947172517
Author:Matthew Douglas, Jung Choi, Mary Ann Clark
Publisher:Matthew Douglas, Jung Choi, Mary Ann Clark
Chapter6: Metabolism
Section: Chapter Questions
Problem 10RQ: In each of the three systems, determine the state of entropy (low or high) when comparing the first...
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![Q3. Péclet number - We've seen the Péclet number Pé :
vl
as a useful metric to
determine if stirring (Pé > 1) is more efficient than diffusion (Pé < 1) for mixing
solutions. "Stirring" here can designate any process which applies a force on the molecules,
resulting in a velocity v.
a) Show that the Péclet number, like the Reynolds number, is unitless.
Let's think about why scale (l) matters for mixing. A-DNA, a DNA polymer containing
48,502 base pairs, has a diffusion coefficient of D =
field of 1 V/m, we can expect 1-DNA to reach a terminal velocity of 30 nm/s.
6.4 x 10-13m²s-1. Under an electric
b) Find the Péclet number for a system of dimension of l = 10 cm. This corresponds
to the scale of most benchtop instruments used to manipulate or separate
biomolecules.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F126719c1-ef8f-449d-9414-2b79ad2a4b2e%2F99ada790-12af-4f4a-ac29-4504e6b1a832%2F8durqm_processed.png&w=3840&q=75)
Transcribed Image Text:Q3. Péclet number - We've seen the Péclet number Pé :
vl
as a useful metric to
determine if stirring (Pé > 1) is more efficient than diffusion (Pé < 1) for mixing
solutions. "Stirring" here can designate any process which applies a force on the molecules,
resulting in a velocity v.
a) Show that the Péclet number, like the Reynolds number, is unitless.
Let's think about why scale (l) matters for mixing. A-DNA, a DNA polymer containing
48,502 base pairs, has a diffusion coefficient of D =
field of 1 V/m, we can expect 1-DNA to reach a terminal velocity of 30 nm/s.
6.4 x 10-13m²s-1. Under an electric
b) Find the Péclet number for a system of dimension of l = 10 cm. This corresponds
to the scale of most benchtop instruments used to manipulate or separate
biomolecules.
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