Answer :

Final Answer:

The equilibrium potential of ion X is b) +94 mV.

Explanation:

The equilibrium potential of an ion is determined by the Nernst equation, which calculates the membrane potential at which the ion is in electrochemical equilibrium. The Nernst equation is given by [tex]\( E_{\text{ion}} = \frac{RT}{zF} \ln\left(\frac{[X]_{\text{out}}}{[X]_{\text{in}}}\right) \), where \( E_{\text{ion}}[/tex] is the equilibrium potential, [tex]\( R \)[/tex] is the gas constant,[tex]\( T \)[/tex] is the temperature in Kelvin,[tex]\( z \)[/tex] is the ion charge,[tex]\( F \)[/tex]is Faraday's constant, and [tex]\( [X]_{\text{out}} \)[/tex] and \[tex]( [X]_{\text{in}}[/tex] are the ion concentrations outside and inside the cell, respectively.

Given the choices, we can deduce that the equilibrium potential of ion X must be positive because the potential inside the cell is more positive relative to the outside. Therefore, the correct answer is +94 mV, corresponding to choice b). This positive equilibrium potential indicates that ion X tends to move into the cell under electrochemical equilibrium conditions.

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Rewritten by : Barada

Final answer

The equilibrium potential of ion X is -94 mV. Thus the correct option is a.

Explanation

The equilibrium potential of an ion can be calculated using the Nernst equation, which is given by E = (RT/zF) * ln([X]_outside/[X]_inside), where E is the equilibrium potential, R is the gas constant, T is the temperature in Kelvin, z is the charge of the ion, F is the Faraday constant, [X]_outside is the concentration of the ion outside the cell, and [X]_inside is the concentration of the ion inside the cell. Given the options, we can substitute the values into the equation to find the equilibrium potential. For ion X, the concentration gradient suggests that [X]_outside is greater than [X]_inside, leading to a negative equilibrium potential. The correct option, -94 mV, is obtained by calculations based on the Nernst equation.

The given statement "The equilibrium potential of ion X is -94 mV" is true because the calculated value aligns with the principles of electrochemical equilibrium. Ion X is at equilibrium when the electrochemical gradient is balanced, resulting in a membrane potential of -94 mV, as determined by the Nernst equation. This equilibrium potential signifies the balance between the concentration gradient and the electrical gradient across the cell membrane, ensuring ion X's stability.

Thus the correct option is a.