Assume that you have 1.00 g of a mixture of benzoic acid (molec. mass =122 amu ) and gallic acid

step 1 Let's calculate the mass of each acid, the benzoic acid and the gallic acid present in the mixtu

Assume that you have 1.00 g of a mixture of benzoic acid...

Assume that you have 1.00 $\mathrm{g}$ of a mixture of benzoic acid (molec. mass $=122 \mathrm{amu}$ ) and gallic acid (molec. mass $=170 \mathrm{amu}$ ), both of which contain one acidic hydrogen that reacts with NaOH. On titrating the mixture with $0.500 \mathrm{M} \mathrm{NaOH}, 14.7 \mathrm{mL}$ of base is needed to completely react with both acids. What mass in grams of each acid is present in the original mixture?

Key Concepts

Molar Mass and Mass-to-Mole Conversion

Molar mass is the mass of one mole of a given substance and is crucial for converting between mass and moles. This conversion is important in stoichiometric calculations, as it allows for the translation of experimental measurements, such as the mass of a substance, into the molar quantities needed to analyze and interpret chemical reactions.

Mixture Analysis Using Simultaneous Equations

Mixture analysis using simultaneous equations is a mathematical approach to resolve the amounts of different components within a mixture. By setting up and solving equations based on the total mass of the mixture and the mole relationships derived from titration data, one can determine the individual quantities of each component in the mixture.

Stoichiometry

Stoichiometry involves the quantitative relationships between reactants and products in a chemical reaction. By understanding these relationships, one can calculate the amount of substances needed or produced in a reaction, which is essential when determining the composition of mixtures or the amounts of substances present in titration experiments.

Mole Concept

The mole concept is a fundamental idea in chemistry that links the mass of a substance to the number of its particles by using Avogadro's number. This concept allows chemists to convert between the mass of a substance and the number of moles, facilitating quantitative analysis in chemical reactions.

Acid-Base Titration

Acid-base titration is an analytical technique used to determine the concentration of an acid or a base in solution by reacting it with a base or an acid of known concentration. In such experiments, the volume of titrant required to completely neutralize the analyte is measured and used to calculate the mole quantity of the substance involved in the reaction.

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