Consider Two Sodium Solutions Separated by a Cation-Permeable Membrane

Short Answer

Consider two sodium solutions separated by a cation-permeable membrane. One solution (we'll call it "outside") is 5mM. Each terminal from a 9V battery is attached to a wire, which in turn is dipped into one of the solutions (the positive terminal is placed in the "outside" solution). What concentration of potassium would need to be present on the other side of the membrane (the "inside") to ensure that no net movement of ions occurs between the two chambers at room temperature? Set up (but do not solve) an equation to find the answer.