A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid 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 membrane's thickness is estimated to be 96 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a mass of 1.20 x 10-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1,100 kg/m³. (Assume the volume of blood due to components other than red blood cells is negligible.) 10.9E-16✔✔ m³ volume surface area 55.43E-6 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m² (b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates. 25.54E-9 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. F (c) Calculate the charge on the surface of the membrane. 25.54E-10 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. C How many electronic charges does the surface charge represent? 15.9E9 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.
A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid 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 membrane's thickness is estimated to be 96 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a mass of 1.20 x 10-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1,100 kg/m³. (Assume the volume of blood due to components other than red blood cells is negligible.) 10.9E-16✔✔ m³ volume surface area 55.43E-6 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m² (b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates. 25.54E-9 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. F (c) Calculate the charge on the surface of the membrane. 25.54E-10 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. C How many electronic charges does the surface charge represent? 15.9E9 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.
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Transcribed Image Text:A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid 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 membrane's thickness is estimated to be 96 nm and has a dielectric constant of 5.00.
(a) If an average red blood cell has a mass of 1.20 × 10-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1,100 kg/m³. (Assume the volume of blood due to components other than red blood cells is negligible.)
m3
volume
10.9E-16
55.43E-6 X
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m²
surface area
(b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates.
25.54E-9
X
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. F
(c) Calculate the charge on the surface of the membrane.
25.54E-10 X
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. C
How many electronic charges does the surface charge represent?
15.9E9
X
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.
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