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Solved: The average time it takes for a molecule to
Chapter 1, Problem 94P(choose chapter or problem)
The average time it takes for a molecule to diffuse a distance of \(x \ cm\) is given by
\(t=\frac{x^{2}}{2 D}\)
where \(t\) is the time in seconds and \(D\) is the diffusion coefficient. Given that the diffusion coefficient of glucose is \(5.7\times10^{-7}\mathrm{\ cm}^2/\mathrm{s}\), calculate the time it would take for a glucose molecule to diffuse \(10\ \mu\mathrm{m}\), which is roughly the size of a cell.
Questions & Answers
QUESTION:
The average time it takes for a molecule to diffuse a distance of \(x \ cm\) is given by
\(t=\frac{x^{2}}{2 D}\)
where \(t\) is the time in seconds and \(D\) is the diffusion coefficient. Given that the diffusion coefficient of glucose is \(5.7\times10^{-7}\mathrm{\ cm}^2/\mathrm{s}\), calculate the time it would take for a glucose molecule to diffuse \(10\ \mu\mathrm{m}\), which is roughly the size of a cell.
ANSWER:
Step 1 of 2
Here, we are going to calculate the time taken for the glucose to diffuse.
Given that,
