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My Notas O Ask Your Teacher The membrane that surrounds a certain type of living

ID: 777783 • Letter: M

Question

My Notas O Ask Your Teacher The membrane that surrounds a certain type of living cell has a surface area of 5.25 x 10-9 m2 and a thickness of 9.80 x 10-9 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.10. (a) The potential on the outer surface of the membrane is +54.6 mV greater than that on the inside surface. How much charge resides on the outer surface? (b) If the charge in part (a) is due to K* ions (charge +€), how many such ions are present on the outer surface? ions Additional Materials D Section 19.5

Explanation / Answer

a)

Capacitance of cell membrane is

C=KeoA/d =(5.1)(8.8542*10-12)(5.25*10-9)/(9.8*10-9)

C=2.42*10-11F

Charge

Q=CV =(2.42*10-11)(54.6*10-3)=1.32*10-12C

b)

N=(1.32*10-12)/(1.6*10-19)=8.255*106 ions

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