The instantaneous velocity of a molecule tells you little about the time it takes a molecule to move cellular distances because the molecule's trajectory is constantly altered by collisions with other molecules in solution. The average time that it takes for a molecule to travel“x* cm by diffusion in three dimensions is given by t=x/6D, where t is time in seconds, and D is the diffusion coefficient, which is a constant that depends on the size and shape of a molecule. Glucose and myoglobin have diffusion coefficients of 5 X 10°cm/sec and 5 X 10° cm/sec, respectively. Calculate the average time that it would take for a molecule of glucose and a molecule of myoglobin to diffuse a distance of 25 um, an approximate width for a mammalian cell.

Biochemistry
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Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
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Chapter1: Biochemistry: An Evolving Science
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C) The instantaneous velocity of a molecule tells you little about the time it takes a molecule to move
cellular distances because the molecule's trajectory is constantly altered by collisions with other
molecules in solution. The average time that it takes for a molecule to travel “x" cm by diffusion in
three dimensions is given by t=x/6D, where t is time in seconds, and D is the diffusion
coefficient, which is a constant that depends on the size and shape of a molecule.
Glucose and myoglobin have diffusion coefficients of 5 X 10°cm?/sec and 5 X 10° cm?/sec, respectively.
Calculate the average time that it would take for a molecule of glucose and a molecule of myoglobin to
diffuse a distance of 25 um, an approximate width for a mammalian cell.
Transcribed Image Text:C) The instantaneous velocity of a molecule tells you little about the time it takes a molecule to move cellular distances because the molecule's trajectory is constantly altered by collisions with other molecules in solution. The average time that it takes for a molecule to travel “x" cm by diffusion in three dimensions is given by t=x/6D, where t is time in seconds, and D is the diffusion coefficient, which is a constant that depends on the size and shape of a molecule. Glucose and myoglobin have diffusion coefficients of 5 X 10°cm?/sec and 5 X 10° cm?/sec, respectively. Calculate the average time that it would take for a molecule of glucose and a molecule of myoglobin to diffuse a distance of 25 um, an approximate width for a mammalian cell.
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