2. A particularly challenging task in nanoparticle synthesis is determining the molarity of a resultant solution. This is why concentration is often reported as mg/ml, which can be calculated by weighing dried nanoparticle solutions that were originally in a known volume. However, it is possible to estimate the molarity of a nanoparticle solution using bottom-up calculations and assuming complete reaction of monomers. You are synthesizing MnSe quantum dots using a high temperature precursor decomposition approach. Given the following excerpt from the synthesis procedure, what is the estimated molarity of the final solution if the radius of the spherical particles as determined by TEM is ~ 4 nm and the density of MnSe is 5.59 g/cm3. In a typical experiment, TBP-Se stock solution was prepared inside a glove box by adding 0.63 g of Se to 2.7 mL of TBP. Then, 25 mL of ODE (solvent/ligand) and 0.1g of MnSt2 (manganese stearate, C36H70O4 Mn, MW = 621.89) were loaded into a 100 mL three-neck flask, heated to 110C, and bubbled under argon for 20 minutes. The temperature was increased to 280C and the argon source changed from bubbling to flow. Once the reaction temperature reached 280C, 3 mL of TBP-Se stock solution was swiftly injected. After five minutes, the temperature was reduced to 260C and held for 60 minutes. First, determine the molecular weight of each particle using the particle volume, density, and Avogadros number. From this you should be able to identify the number of MnSe pairs in each nanoparticle. Then, determine the amounts of Mn and Se in solution and identify the limiting reagent assuming a 1:1 ratio of these atoms in the crystal structure. Then, using the limiting reagent, determine the number of particles that could be synthesized using the number of MnSe pairs/particle. Determine the total liquid reaction volume and divide into the total number of particles to get the molarity.