Using the method used to find the solution derived for Newton's law of cooling, find the solution of the chemical diffusion equation dC/dt = β(Г - C) with the following parameter values and initial conditions. Find the concentration after 10 seconds. How long would it take for the concentration to get halfway to the equilibrium value?
β = 0.01/s, C(0) = 5.0 mmol/cm3, and Г = 2.0 mmol/cm3.