Final answer:
The electric field strength across the membrane is 8.89 x 10^6 V/m.
Step-by-step explanation:
To find the electric field strength, we can use the formula:
Electric Field Strength = Voltage / Distance
In this case, the voltage across the membrane is 80.0 mV and the thickness of the membrane is 9.00 nm.
Converting the voltage to volts: 80.0 mV = 0.080 V
Converting the thickness to meters: 9.00 nm = 9.00 x 10-9 m
Substituting the values into the formula:
Electric Field Strength = 0.080 V / (9.00 x 10-9 m) = 8.89 x 106 V/m
Therefore, the electric field strength is 8.89 x 106 V/m.