2. An infinitely long cylinder is filled with pure water on the right side of the partition, and water

with an initial concentration of 100 ppm of dissolved CO₂ on the left. At time t=0 s, the partition is

removed. Write governing equation, initial and boundary conditions and solution.

(i) How long will it take the concentration of CO₂ at a point 50 cm to the right of the

partition to reach 10 ppm? [2 pts]

(ii) If the fluid was turbulent, how would that affect your answer above? As we will derive

later, substitute a value of 1 cm²/s for D as a reflection of uniformly generated (isotropic

and homogeneous) turbulence in water. How long will it now take to reach a CO₂

concentration of 10 ppm 50 cm from the partition? [2 pts]