Question

In: Physics

3. Within a cell membrane there is an electric field that is typically about 9×10 6...

3. Within a cell membrane there is an electric field that is typically

about 9×10

6

N/C, directed from the outside of the cell toward the inside.

The membrane is almost completely permeable to negative chloride

(Cl

) ions, which have charge –1.6×10

-19

C and mass 5.8×10

-26

kg.

(a) If a chloride ion gets into the membrane on

one

side, it will experience

a force that causes it to cross the membrane – but if it starts on the other side, it

will

not

cross. Why, and from which side (inside or outside)

will

it cross the membrane?

(b) Find the electric force (magnitude and direction) on a chloride ion that gets inside the

membrane.

(c) If the ion starts at rest on the side of the membrane from which it crosses, and the

membrane is 8×10

-9

m thick,

how much time will it take the ion to cross to the other side?

(d) How does the force on a chloride ion compare with the force on a potassium ion (charge

+1.6×10

-19

C , mass 6.5×10

-26

kg) inside the membrane?

Solutions

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