The recommended procedure for preparing a very dilute solution is not to weigh out a very small mass or measure a very small volume of a stock solution. Instead, it is done by serial dilution. A sample of 0.8214 g of KMnO4 was dissolved in water and made up to the volume in a 500-mL volumetric flask. A 2.000-mL sample of this solution was transferred to a 1000-mL volumetric flask and diluted to the mark with water. Next, 10.00 mL of the diluted solution was transferred to a 250-mL flask and diluted to the mark with water, (a) Calculate the concentration (in molarity) of the final solution, (b) Calculate the mass of KMnO4 needed to directly prepare the final solution and comment on why dilute solutions are not typically prepared directly.
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