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Physiology · General physiology: Nernst potential
Sample itemIn a mammalian neurone at 37 degrees C the intracellular K+ concentration is 150 mmol/L and the extracellular concentration is 5 mmol/L. Using the Nernst equation in the form 61 x log10 (outside concentration / inside concentration), what is the equilibrium potential for K+?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
D. -90 mV
The Nernst potential is the membrane voltage at which the electrical force exactly balances the chemical gradient for one ion. For K+ the ratio outside to inside is 5/150, or 1/30, and log10 of 1/30 is about -1.48. Multiplying by 61 gives about -90 mV, close to the resting potential of a neurone, which is why resting potential is dominated by K+ permeability.
Option by option
A. -122 mV
-122 mV would result from a 100-fold ratio (log10 of 1/100 = -2), which is larger than the 30-fold gradient given.
B. -61 mV
-61 mV would result from a tenfold concentration ratio (log10 of 1/10 = -1), but the ratio here is 30-fold.
C. +90 mV
The sign is wrong; K+ leaves the cell down its gradient, so the equilibrium potential is negative, not positive. A positive value would be seen if the ratio were inverted.
D. -90 mV (correct)
61 x log10 (1/30) = 61 x (-1.48), which is about -90 mV.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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