The distribution of sodium ions across the cell membrane of a neuron is 20 mmol/L inside the cell and 200 mmol/L outside the cell. When the system reaches equilibrium, the concentration of sodium ions will be identical on both sides of the cell membrane. What is the standard Gibbs energy difference in the system? Assume the system is at body temperature (37 °C). b)What is the Gibbs energy difference across the membrane in the initial state (prior to reaching equilibrium)?

Biochemistry
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ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
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a)The distribution of sodium ions across the cell membrane of a neuron is 20 mmol/L inside the cell and 200 mmol/L outside the cell. When the system reaches equilibrium, the concentration of sodium ions will be identical on both sides of the cell membrane. What is the standard Gibbs energy difference in the system? Assume the system is at body temperature (37 °C).

b)What is the Gibbs energy difference across the membrane in the initial state (prior to reaching equilibrium)?

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The maximum amount of non-expanded work that can be achieved in a closed system is known as the Gibbs free energy. In a closed system, the heat and work is exchanged with the surrounding but not with the matter.

The formula for Gibbs free energy is as follows:

G = RTln[Na+]in[Na+]out

Where,

∆G is change in free energyR is gas constantT is temperature[Na+]in is concentration of sodium ions inside the cell[Na+]out is concentration of sodium ions outside the cell

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