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2 answers:
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a) The charge on the outer surface is
b) The number of ions is
Explanation:
a)
The membrane behaves as a parallel plate capacitor, whose capacity is given by the equation
where
k = 4.3 is the dielectric constant
is the vacuum permittivity
is the surface area
is the distance between the two plates
Substituting,
The capacity of the membrane is related to the potential difference between the two surfaces by
where here we have
Q = excess charge on one surface
is the potential difference between the two surfaces
Solving for Q, we find
b)
We said that the net charge on the outer surface is
The charge of one K+ ions is equal to the electron charge
Therefore, the number of ions on the outer surface can be found by dividing the total charge by the charge of a single ion:
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