**8.**For a given cell, the concentration of sucrose is 8mM inside the cell and 0.5mM outside the cell. The concentration of Na⁺ is 0.5mM inside the cell and 10mM outside the cell. The membrane potential for this cell is -120mV, and the temperature of the system is 25°C.**B.** What is ΔG for the inward transport of Na⁺ in this system?---**Explanation:**In this problem, we are looking at the free energy change (ΔG) associated with the inward transport of Na⁺ ions in a cell under the given conditions. The details provided include:- Concentration of sucrose: - Inside the cell: 8mM - Outside the cell: 0.5mM - Concentration of Na⁺: - Inside the cell: 0.5mM - Outside the cell: 10mM - Membrane potential: -120mV- Temperature: 25°CTo find the free energy change (ΔG) for Na⁺ transport, you would generally use the Nernst equation and the concept of electrochemical gradients:\[ \Delta G = RT \ln \left( \frac{[Na^+]_{\text{inside}}}{[Na^+]_{\text{outside}}} \right) + zF\Delta\Psi \]Where:- \( R \) is the universal gas constant (8.314 J/(mol·K))- \( T \) is the temperature in Kelvin (25°C = 298K)- \( [Na^+]_{\text{inside}} \) is the concentration of Na⁺ inside the cell- \( [Na^+]_{\text{outside}} \) is the concentration of Na⁺ outside the cell- \( z \) is the charge of the ion (for Na⁺, \( z = +1 \))- \( F \) is the Faraday constant (96485 C/mol)- \( \Delta\Psi \) is the membrane potential (in volts, so -120mV = -0.120V)The equation combines the contributions from the concentration gradient (first term) and the electrical gradient (second term) to determine the total free energy change for the ion transport.

The permeability of a cell refers to the transportation of ions that occurs through the cell…

For a given cell, the concentration of sucrose is 8mM inside the cell and 0.5mM outside the cell. The concentration of Na“ is 0.5mM inside the cell and 10mM outside the cell. The membrane potential for this cell is -120mV and the temperature of the system is 25°C. B. What is AG for the inward transport of Na* in this system?

For a given cell, the concentration of sucrose is 8mM inside the cell and 0.5mM outside the cell. The concentration of Na“ is 0.5mM inside the cell and 10mM outside the cell. The membrane potential for this cell is -120mV and the temperature of the system is 25°C. B. What is AG for the inward transport of Na* in this system?

Biology: The Dynamic Science (MindTap Course List)

4th Edition

ISBN:9781305389892

Author:Peter J. Russell, Paul E. Hertz, Beverly McMillan

Publisher:Peter J. Russell, Paul E. Hertz, Beverly McMillan

Chapter5: Membranes And Transport

Section: Chapter Questions

Problem 13TYK

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