11. Diffusion clock [2P+2P] In the lecture you have been introduced to the "diffusion clock experiment (Figure 1). Initially, a layer of blue CuSO4 solution is placed in the bottom of a glass tube with water added on top of the solution. Over time, one can see that the gradient vanished due to the diffusion of the Cu+ (m=63.5u, D= 7.5 x 10-10 ms-1 at T=25C) ions but only on the time scale of several years. Figure 2: Diffusion clock (a) Consider a glass cylinder with a length of 2 m. Determine the time at which "perfect mixing" of the solutions is reached! Hint: Assume that the tubes diameter d is much smaller than its length I and that all Cu ions are initially located at the bottom of the tube. (b) To what extent does the gravitation affect the process? 11. Diffusion clock [2P+2P] In the lecture you have been introduced to the "diffusion clock experiment (Figure 1). Initially, a layer of blue CuSO4 solution is placed in the bottom of a glass tube with water added on top of the solution. Over time, one can see that the gradient vanished due to the diffusion of the Cu+ (m=63.5u, D= 7.5 x 10-10 ms-1 at T=25C) ions but only on the time scale of several years. Figure 2: Diffusion clock (a) Consider a glass cylinder with a length of 2 m. Determine the time at which "perfect mixing" of the solutions is reached! Hint: Assume that the tubes diameter d is much smaller than its length I and that all Cu ions are initially located at the bottom of the tube. (b) To what extent does the gravitation affect the process