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(a) If an average red blood cell has a mass of 1.1e-12 kg, estimate the volume o

ID: 1287900 • Letter: #

Question

(a) If an average red blood cell has a mass of 1.1e-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1100 kg/m3.

volume =  
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m3 surface area =  
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m2 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. F (c) Calculate the charge on the surface of the membrane. How many electronic (elementary) charges does the surface charge represent? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m2 (b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m^3 surface area = 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 104 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a mass of 1.1e-12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1100 kg/m^3.

Explanation / Answer

m = 1.1e-12 kg
rho = 1100 kg/m3

V = m/rho
= 1.1e-12/1100
= 1e-15 m3