Chemistry

Chemistry

Problem

A 0.875 g0.875\,\text{g} sample of a commercial fertilizer is dissolved in water and titrated with 0.200 M0.200\,\text{M} NaOH(aq)NaOH(aq). The titration requires 35.60 mL35.60\,\text{mL} of the base to reach the stoichiometric point. The only acid-reactive component in the fertilizer is assumed to be ammonium dihydrogen phosphate, NH4H2PO4NH_4H_2PO_4. No other acid–base reactions occur. (a) Write the balanced molecular equation for the complete neutralization of NH4H2PO4NH_4H_2PO_4 with aqueous sodium hydroxide. (b) Calculate the number of moles of NaOHNaOH delivered from the buret. (c) Determine the mass of NH4H2PO4NH_4H_2PO_4 that reacted. (d) Calculate the percent by mass of NH4H2PO4NH_4H_2PO_4 in the fertilizer sample.
Intuitive explanation

This is an acid–base titration where you're using a known base concentration and volume to back-calculate the amount of acid in the original sample. The key is recognizing that ammonium dihydrogen phosphate is diprotic (it has two replaceable hydrogens: one from NH4+NH_4^+ and one from H2PO4−H_2PO_4^-), so each mole of NH4H2PO4NH_4H_2PO_4 consumes 2 moles of NaOHNaOH. Use the titration data to find moles of base, convert to moles of the phosphate compound, then to grams and finally mass percentage.

Intuitive explanation

This is an acid–base titration where you're using a known base concentration and volume to back-calculate the amount of acid in the original sample. The key is recognizing that ammonium dihydrogen phosphate is diprotic (it has two replaceable hydrogens: one from NH4+NH_4^+ and one from H2PO4−H_2PO_4^-), so each mole of NH4H2PO4NH_4H_2PO_4 consumes 2 moles of NaOHNaOH. Use the titration data to find moles of base, convert to moles of the phosphate compound, then to grams and finally mass percentage.

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