Suppose that a molecular ion with charge -10e is embedded within the 5.0-nm-thick cell membrane of...

Suppose that a molecular ion with charge -10e is embedded within the 5.0-nm-thick cell membrane of a cell with membrane potential -70 mV.

What is the electric force on the molecule?

Expert Solution

Total charge (q) of the molecular ion = -10e
                                                       = -10(1.6*10^-19C)
                                                       = -1.6*10^-18C
Now the electric field strength (E) in between the cell membraneis
                      E = V / d
                          = (70mV) / (5.0nm)
                          = (70.0*10^-3V) / (5.0*10^-9m)
                          = 14.0*10⁶V/m
Now the electric force acting on the molecule is
              F = Eq
                 = (14.0*10⁶V/m)(1.6*10^-18C)
                 = 22.4*10^-12N
The direction of the electric force is in opposite direction to thedirection of the electric field

genius_generous answered 1 year ago

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