Chapter 19, Problem 49 that surrounds a certain type of living cell has a surfac

Question

Chapter 19, Problem 49 that surrounds a certain type of living cell has a surface area of 5.2 x 109 m2 a nd a thickness of 1.3 x 10-9 m. Assume that the membrane behaves like a parallel plate surface of the membrane is +86.1 mV greater than that on the inside surface. How much charge resides on The or and has a dielectric constant of 5.1. (a) The potential on the outer the outer surface? (b) If the charge in part (a) is due to K ions (charge +e), how many such ions are present on the outer surface? Units (b) Number Units based on the Point Potential Policy set by your instructor e to search 2/15/2018

Explanation / Answer

(a) Here we will use the expression -

V = E/*d where E = /o

So V = /(*o)*d

=> = Q/A = V*(*o)/d

=> Q = A*( V*(*o)/d) = (5.2x10^-9x86x10^-3x5.1x8.854x10^-12) / (1.3 x 10^-8) = 1.55 x 10^-12 C

(b) Now, charge of each K+ is 1.60x10^-19

Therefore, the number of ions = (1.55 x 10^-12) / (1.60x10^-19) = 9.69 x 10^6 ions

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