Question

Resources Hint "To calculate AG for an ion, you simply add the equations for the chemical and electrostatic components together. (02) Say you are trying to move Cat into a frog muscle cell through its ionotropic Ach receptors after they are stimulated by the neurotransmitter. For a typical frog muscle cell, the concentration of Ca2+ is 0.100 mM inside the cell and 2.10 mM outside the cell. As mentioned earlier, a typical animal cell resting membrane potential is -60 mV, and this process occurs at body temperature, which is 310 K." Given these parameters, what is the AG for Ca2+ ion transport into the frog muscle cell in the presence of Ach? AG = kJ/mol

Answer 1

The gibt's free energy (AG) released by diffusion of a solute A. Gdiff & RT en lin ... (1) Cout where Cine concentration of solute inside the cell Cout & concentration of colute outside the cell P a r constant & 8.314 In de - temperature in kehin Active transport of charged solute Erodves électrical potentias alith chanical potential. the energy ar chemical potential can be given by 4 Gauf - ZEV ... ) here, a= valency of sosute Ir aradag constant - 96500 no vot Nr transmembrane kotential in volt .: The free energy charge ( total) related to movement of solute from one side to another side of the membrane for mol of solute for the chemical as well as e bctrostatic component adding canation of) A Storey: A6 diff & Genf A total = RT en Cin & Z EV ... ii) T . Cool

Here, Cin= [call 0.100 mm Cont & [cat] our - 2.10 m. & -60 mt. -60 x103 v. 2. th for cart T = 310k R = 8.314 5 /mock T & 96500 prolt plugging these values into equation Cü) A9 Potel" ? + Ster) x 90 50 x 60.060)] – 19 427 Ismo = -19.427 kJ f'mol 119: - 19.427 KI/anol