Problem 19.04. Gel Electrophoresis is an experimental procedure which can be used to separate DNA and/or RNA molecules by size. The molecules are placed in a gel then electrodes are added to create a potential difference across the gel. The molecules, which are charged, feel two forces, the electric force due to the presence of the electric field, and a drag force due to inter-molecular forces. The drag force is non-linear and difficult to model, so for experimental purposes the electrophoritic mobility µe = v/E of molecules is measured, which tells you the velocity v of a molecule for a given electric field strength E. 100. V are placed in a gel a distance Two electrodes with a potential difference of V = = V.s d 20.0 cm apart, and two molecules M₁ and M₂ with mobility µe,1 4.00 × 10-4 cm² and He,2 2.00 x 10-4 cm² are placed in a gel. (a) How long before a microscope with a resolution of R 200. mum can tell the molecules apart? (b) What is the maximum time the gel can run for before the faster molecule gets to the edge of the container? V.s = =

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Chapter1: Units, Trigonometry. And Vectors
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Problem 19.04. Gel Electrophoresis is an experimental procedure which can be used to
separate DNA and/or RNA molecules by size. The molecules are placed in a gel then
electrodes are added to create a potential difference across the gel. The molecules, which are
charged, feel two forces, the electric force due to the presence of the electric field, and a drag
force due to inter-molecular forces. The drag force is non-linear and difficult to model, so for
experimental purposes the electrophoritic mobility e v/E of molecules is measured,
which tells you the velocity v of a molecule for a given electric field strength E.
=
Two electrodes with a potential difference of V = 100. V are placed in a gel a distance
d = 20.0 cm apart, and two molecules M₁ and M₂ with mobility µe,1 = 4.00 × 10-4 cm²
and μe,2 = 2.00 × 10-4 cm² are placed in a gel. (a) How long before a microscope with a
resolution of R 200. mum can tell the molecules apart? (b) What is the maximum time
the gel can run for before the faster molecule gets to the edge of the container?
=
Transcribed Image Text:Problem 19.04. Gel Electrophoresis is an experimental procedure which can be used to separate DNA and/or RNA molecules by size. The molecules are placed in a gel then electrodes are added to create a potential difference across the gel. The molecules, which are charged, feel two forces, the electric force due to the presence of the electric field, and a drag force due to inter-molecular forces. The drag force is non-linear and difficult to model, so for experimental purposes the electrophoritic mobility e v/E of molecules is measured, which tells you the velocity v of a molecule for a given electric field strength E. = Two electrodes with a potential difference of V = 100. V are placed in a gel a distance d = 20.0 cm apart, and two molecules M₁ and M₂ with mobility µe,1 = 4.00 × 10-4 cm² and μe,2 = 2.00 × 10-4 cm² are placed in a gel. (a) How long before a microscope with a resolution of R 200. mum can tell the molecules apart? (b) What is the maximum time the gel can run for before the faster molecule gets to the edge of the container? =
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