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The average time it takes for a molecule to diffuse a distance of $x \mathrm{cm}$ 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 $5.7 \times 10^{-7} \mathrm{cm}^{2} / \mathrm{s},$ calculate the time it would take for a glucose molecule to diffuse $10 \mu \mathrm{m},$ which is roughly the size of a cell.

$$0.88 s$$

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

Carleton College

University of Central Florida

University of Kentucky

University of Toronto

Lectures

02:29

Chemistry is the science of matter, especially its chemical reactions, but also its composition, structure and properties. Chemistry deals with atoms and their interactions with other atoms, and particularly with the properties of chemical bonds. Chemistry also involves understanding the properties and interactions of individual atoms and molecules for use in larger-scale applications.

04:42

In chemistry and physics, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles and objects that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or sound. Matter exists in various states (known as phases) that are defined by various physical properties, such as state of matter, phase, shape, and density. The Standard Model of particle physics and the general theory of relativity describe fundamental particles and the fundamental forces acting between them that control the structure and dynamics of matter.

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calculated time required for glucose to defuse the distance of a cell. 10 micro meters. We use the equation that's given to us. The only thing that we need to do is convert the 10 micro meters into centimeters before we square it. Why? Because the diffusion coefficient has units of centimeters squared per second and we want those units to cancel. We get 0.8 seconds.

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