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GATE 2020 BM – Question 36

Sensors and Bioinstrumentation · Biopotentials and Electrodes · 2 marks · Multiple choice

A mammalian nerve cell initially rests at −80 mV. A drug lowers intracellular K⁺ from 150 to 55 mmol/L while external K⁺ is unchanged. Use R=8.315 J/(mol K),37°C,F=96500 C/mol and the potassium equilibrium model. Find the nearest new membrane potential in mV.

  1. −117
  2. −18.71
  3. −53.32
  4. −141.30

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Correct answer: (C) −53.32

Explanation

Nernst potential is (RT/F)ln(Kout/Kin). Taking the change cancels the unknown unchanged external concentration: ΔV=(RT/F)ln(150/55). At about 310 K, RT/F≈26.71 mV and ln(150/55)≈1.0033, giving ΔV≈+26.8 mV. New potential≈−80+26.8=−53.2 mV, nearest C.

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