Answer Happy

5. A droplet of dye is injected into a fluid using a micropipette and begins to diffuse outwards in 3 dimensions. After a time t, the concentration c of the dye (measured in mol'cm') at a distance r from the spot where the dye was injected is found to be пт r2 C= e 2Dt (21Dt) where nt = 0.78 mol is the total amount of dye molecules in the droplet and D is a constant called the diffusion constant that characterizes how fast the dye molecules diffuse. What are the dimensions of D? Use L to represent length, T to represent time, M to represent mass, and N to represent moles of dye. (A) [L] [7] [2] (B) [72] 2 [] [13][22] (C) [7] () [22] (D (E) [N[4] [7]