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Sia

Question
Biology
Posted 9 months ago

The chloride ion that conducts a distrubution of 55mM55 \mathrm{mM} outside the cell and 35mM35 \mathrm{mM} inside the cell. The system at 37C37 \mathrm{C}. Threshold is 45mV-45 \mathrm{mV} if one sets the membrane voltage to 65mV-65 \mathrm{mV} the driving force (D) on the in conducted by this channel will be
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Answer from Sia
Posted 9 months ago
Sure, let's address the question about the driving force on chloride ions given the provided conditions.

Answer
The driving force on the chloride ion can be calculated using the Nernst equation and the given membrane voltage.
Solution
a
Calculate the Nernst potential (EClE_{Cl^-}) for chloride ions using the Nernst equation: ECl=RTzFln([Cl]out[Cl]in)E_{Cl^-} = \frac{RT}{zF} \ln \left( \frac{[Cl^-]_{out}}{[Cl^-]_{in}} \right)
b
Given values: R = 8.314 \, \text{J/mol·K}, T=310KT = 310 \, \text{K} (37°C), z=1z = -1 (charge of chloride ion), F=96485C/molF = 96485 \, \text{C/mol}, [Cl]out=55mM[Cl^-]_{out} = 55 \, \text{mM}, [Cl]in=35mM[Cl^-]_{in} = 35 \, \text{mM}
c
Substitute the values into the Nernst equation: ECl=8.314×3101×96485ln(5535)E_{Cl^-} = \frac{8.314 \times 310}{-1 \times 96485} \ln \left( \frac{55}{35} \right)
d
Simplify the equation: ECl=0.0267ln(1.571)E_{Cl^-} = -0.0267 \ln \left( 1.571 \right)
e
Calculate the natural logarithm: ln(1.571)0.451\ln(1.571) \approx 0.451
f
Final calculation: ECl=0.0267×0.4510.012Vor12mVE_{Cl^-} = -0.0267 \times 0.451 \approx -0.012 \, \text{V} \, \text{or} \, -12 \, \text{mV}
g
Determine the driving force (DD) using the formula: D=VmEClD = V_m - E_{Cl^-}, where Vm=65mVV_m = -65 \, \text{mV}
h
Substitute the values: D=65mV(12mV)=65mV+12mV=53mVD = -65 \, \text{mV} - (-12 \, \text{mV}) = -65 \, \text{mV} + 12 \, \text{mV} = -53 \, \text{mV}
Key Concept
Driving force on ions
Explanation
The driving force on an ion is the difference between the membrane potential and the ion's equilibrium potential. In this case, the driving force on chloride ions is -53 mV, indicating the direction and magnitude of ion movement across the membrane.

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