contestada

The Na+-K+ ATPase uses the free energy of ATP hydrolysis in an active transport process to move Na+ and K+ across a membrane. What would the rate of nonmediated transport be given that the permeability coefficient for K+ through a human erythrocyte membrane is 2.4 × 10-10 cm/s. K+ ions must be moved from a concentration of 4 mM on the outside of the cell to 155 mM inside the cell?

Respuesta :

Answer: The rate of non-mediated transport is [tex]-362.4 \times 10^{-10}[/tex] mM/s.

Explanation:

Formula to calculate non-mediated transport is as follows.

           J = [tex]-P(C_{2} - C_{1})[/tex]

where,  J = net rate of transportation

             P = permeability coefficient = [tex]2.4 \times 10^{-10}[/tex] cm/s

 [tex]C_{2}[/tex] = higher concentration region = 155 mM

 [tex]C_{1}[/tex] = low concentration region = 4 mM

Putting the given values into the above formula as follows.

          J = [tex]-P(C_{2} - C_{1})[/tex]

         J = [tex]-(2.4 \times 10^{-10})(155 - 4)[/tex]

            = [tex]-362.4 \times 10^{-10}[/tex] mM/s

Therefore, we can conclude that the rate of non-mediated transport is [tex]-362.4 \times 10^{-10}[/tex] mM/s.