Think about your answer, then reveal below.
Model answer: A back titration is used when the analyte reacts too slowly or incompletely with the titrant, when the analyte is insoluble in the titrant solution, or when no suitable indicator exists for the direct titration. A known excess of reagent is added to react completely with the analyte, and the unreacted excess is then titrated with a second standardized solution.
Back titrations extend titrimetry to problematic analytes. For example, calcium carbonate dissolves slowly in acid — a direct acid titration gives a sluggish endpoint. Adding excess standardized HCl, allowing complete reaction, then back-titrating the excess HCl with NaOH gives a sharp, accurate endpoint. Analyte concentration is calculated from the difference between added and recovered reagent.