- #1
popsune
- 3
- 0
Hi, I've a problem with this question and I'm not sure if I've worked it out correctly.
This is the question:
The membrane that surrounds a certain type of living cell has a surface area of 5.0 mm2 and a thickness of 10 nm. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.0. If the potential inside the membrane is -60.0 mV with respect to the outside how much charge resides on the outer surface? If the charge is due to monovalent ions, how many such ions are present on the outer surface?
Epsilon0 = 8.85 X 10-12 C2/(N.m2)
e = 1.6 X 10-19 C
This is my working:
V=Q/Ak(Epsilon0)d
-60X10^-3=Q/(5.0X10^-6)X5.0X(8.85X10^-12)X(10X10^-9)
Q=-1.3275X10^-25C
Charge of 1 electron=1.6X10^-19C
No of ions = 1.3275X10-25/1.6X10^-19=8.296X10^-7
This is the question:
The membrane that surrounds a certain type of living cell has a surface area of 5.0 mm2 and a thickness of 10 nm. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.0. If the potential inside the membrane is -60.0 mV with respect to the outside how much charge resides on the outer surface? If the charge is due to monovalent ions, how many such ions are present on the outer surface?
Epsilon0 = 8.85 X 10-12 C2/(N.m2)
e = 1.6 X 10-19 C
This is my working:
V=Q/Ak(Epsilon0)d
-60X10^-3=Q/(5.0X10^-6)X5.0X(8.85X10^-12)X(10X10^-9)
Q=-1.3275X10^-25C
Charge of 1 electron=1.6X10^-19C
No of ions = 1.3275X10-25/1.6X10^-19=8.296X10^-7
Last edited: