Solved: A model of a red blood cell portrays the cell as a

Chapter 16, Problem 16.79

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A model of a red blood cell portrays the cell as a shperical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fl uid by a membrane of thickness t. Tiny electrodes introduced into the interior of the cell show a potential difference of 100 mV across the membrane. The membranes thickness is estimated to be 100 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a mass of 1.00 _ 10_12 kg, estimate the volume of the cell and thus fi nd its surface area. The density of blood is 1 100 kg/m3. (b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates. (c) Calculate the charge on the surface of the membrane. How many electronic charges does the surface charge represent? ADDITIONAL PROBLEMS

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