The efficiency of a particular catalyst is highly dependent on its zirconium content. The starting material for this preparation is received in batches that assay between 68% and 84% ZrCl4. Routine analysis based on precipitation of AgCl is feasible, it having been established that there are no sources of chloride ion other than the ZrCl4 in the sample. (a) What sample mass should be taken to ensure an AgCl precipitate that weighs at least 0.400 g? (b) If this sample mass is used, what is the maximum mass of AgCl that can be expected in this analysis? (c) To simplify calculations, what sample mass should be taken to have the percentage of ZrCl4 exceed the mass of AgCl produced by a factor of 100?