Suppose that the size of the first cell is 2.0 L and the second is 5.0 L.

Suppose that the size of the first cell is 2.0 μL and the second is 5.0 μL.
Follow these steps to derive the equations for chemical exchange between two adjacent cells of different size. Suppose the concentration in the first cell is designated by the variable C1, and the concentration in the second cell is designated by the variable C2. In each case,
a. Write an expression for the total amount of chemical A1 in the first cell and A2 in the second.
b. Suppose that the amount of chemical moving from the first cell to the second cell is β times C1, and the amount of chemical moving from the second cell to the first cell is β times C2. Write equations for the rates of change of A1 and A2.
c. Divide by the volumes to find differential equations for C1 and C2.
d. In which cell is the concentration changing faster?