Answered: The nonpolar core of the membrane of a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 29P: How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of...

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The nonpolar core of the membrane of a muscle cell has a thickness d = 4nm and a dielectric constancy k = 20. (a) What is the surface capacity of the membrane? Express your response in microcoulombs per square centimeter. (b) During muscle contraction, the internal potential of the cell increases by about 100 mV. For 1 cm² of membrane, how many Na⁺ ions must have entered the cell for this purpose? (c) The medium outside the cell initially contains 0.150 mol / L of Na + ions in solution. Considering that it extends to 1 µm from the cell, what is the decrease in Na⁺ concentration immediately after the change in potential? (d) Estimate the number of times the process can be repeated before the Na⁺ ion reserve is exhausted.

Please show formulas ans steps for my own understanding

(а) 4,43 иF/cm?;B (b) 2,77 х 1012 ions;B
(c) 4,59 х 10-5 mol/L;
(d) 3270

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