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Gram-Equivalent Weight of a Solid Acid

(revised 24 April 2024)

Introduction

When a solution of strong acid is mixed with a strong base, the following reaction occurs:
H3O+ (aq) + OH - (aq) equilarrow 2 H2O
This neutralization reaction has an equilibrium constant of about 10-14 at room temperature, so that the reaction can be considered to proceed completely to the right using up whichever ion is present in lesser amount and leaving the solution either acidic or basic depending on whether H+ or OH- was in excess. Since the reaction is essentially quantitative, it can be used to determine the concentrations of acidic or basic solutions. A frequently used procedure involves the titration of an acid with a base. Titration is the technique used to accurately measure, with a burette, the volume of a solution required to react with another substance.  During a titration, a basic solution is added from a burette to a measured volume of acid solution until the number of moles of OH- added is equal to the number of moles of H3O+ ion present in solution. This point, at which the number of moles of acid equals the number of moles of base, is called the equivalence point.  In other words, stoichiometrically equivalent quantities of acid and base are present in the solution at the equivalence point. Using the volume of the solution of base added, the concentration of the acid solution may be calculated. The equivalence point of the titration can be estimated by a chemical called an indicator. Thus, it is important to remember that the equivalence point of a titation is a theoretical point.  It can be estimated by observing some physical change associated with the condition of equivalence, such as the color change of an indicator (which is termed the end point) or the precipitation of a substance. The indicators used are weak acids or bases that change color with H3O+ concentration changes. The point at which an indicator changes color is the endpoint of the titration. The [H3O+] at the equivalence point determines which indicator one should used. If the solution titrated has an endpoint at [H3O+] = 10-7 M  (strong acid-strong base titration) an indicator with a KIn of 10-7 would be used. A very commonly employed indicator is phenolphthalein, which is colorless in acidic solution and pink above a [OH-] = 10-9 M. Its easily observable color change allows it to be used to titrate strong and weak acids. The change in [H3O+] for a strong acid at the endpoint is so large that the error in using an indicator with a KIn of 10-9 rather than a 10-7 indicator is insignificant. For weak acids, such as the ones employed in this experiment, the phenolphthalein indicator may also be used because the endpoints are between a [H3O+] = 10-7 M and 10-9 M.

Data analysis


In Part 1 of this experiment, the concentration of a NaOH solution will be accurately determined. The process of determining the concentration of a solution is called standardization. The NaOH solution will be standardized by titrating it against a certain mass of a very pure sample of potassium hydrogen phthalate,
KHC8H4O4 (often abbreviated KHP).  KHP is a monoprotic acid, and, therefore, has only one acidic (ionizable) hydrogen bonded to an oxygen atom. The balanced equation for the neutralization of KHP is:

KHC8H4O4 (aq)  +  NaOH (aq)  equil arrow  KNaC8H4O4 (aq)  +  H2O (aq)

The number of moles of KHP may be calculated from the mass of KHP used. When NaOH is titrated against KHP, an equal number of moles of KHP and NaOH are present at the equivalence point of the titration. In other words, at the equivalence point:                                                                                        Moles KHP = Moles NaOHThus, knowing the number of moles of NaOH and the volume of NaOH added to reach the equivalence point, it is possible to calculate the molarity of the NaOH solution.

In Part 2 of this experiment, the unknown acid is titrated with the standardized NaOH solution, of which you now accurately know the concentration. Using the volume of NaOH solution required to neutralize the mass of unknown acid and the accurate concentration of the NaOH solution, it is possible to calculate the moles of NaOH at the equivalence point. Then using the moles of unknown acid at the equivalence point and the mass of the unknown acid, the gram-equivalent weight (GEW) of the unknown acid may be calculated.
The GEW of an acid is the amount (mass) of acid that gives 1 mole of hydronium ions.  To determine the number of ionizable (acidic) hydrogen atoms (also called acidic protons) present in the unknown acid, the GEW of the unknown acid may be compared to the true molar mass of the unknown acid once its identity has been determined. To determine the identity of your unknown acid, compare your results with the possible unknown acids listed below.  Do not forget to also compare the physical properties of color and crystal shape of your unknown acid with the possible unknown acids provided.

Possible unknown solid acids for this experiment are :

Prelab assignment

Safety

Use pipetting aids and wear your safety glasses. NaOH is not only caustic but causes irreversible damage to eyes.

Correct Titration Technique

Please avoid parallax by placing your eye level precisely parallel to the meniscus level (Figure 1).

Listen to the video below (Figure 2).  Note the correct positioning of the hands and the burette for titration and manipulating the stopcock.  You must manipulate the stopcock with your left hand if you are right-handed. Pull the stopcock in against the taper each time you turn it.  This avoids loss of liquid due to improper positioning of the stopcock. With the right hand, swirl the flask continuously until one drop of titrant (NaOH) causes a color change that persists throughout the entire solution.  

Reading burette
Figure 1. The correct method to read a burette1Figure 2. Video describing the correct titration technique2

Procedure 

Part 1. Standardization of NaOH


Obtain four (4) clean, dry Erlenmeyer flasks (250 mL).  Label them. Using the analytical balance, tare Erlenmeyer flask 1. Accurately weigh into Erlenmeyer flask 1 enough dry KHC8H4O4 to give a titration volume of 15 mL of approximately 0.1 M NaOH. You performed this calculation in your prelab. Record the exact mass of KHC8H4O4. Add 25 mL of distilled H2O using a graduated cylinder.  Accurately weigh KHC8H4O4 into each of the other Erlenmeyer flasks (2, 3 and 4) and add 25 mL of distilled water. Next, draw into a clean 250-mL beaker about 100 mL of NaOH solution (approximately 0.100 M). Fill the burette with the NaOH solution using a funnel and record the initial volume of the burette. Add 2 drops of phenolphthalein to Erlenmeyer flask 1 and titrate the potassium hydrogen phthalate with the NaOH solution. Record the final volume of NaOH in the burette after the titration is complete. Repeat for Erlenmeyer flasks 2, 3 and 4. Verify with your instructor. Calculate the accurate concentration of the NaOH solution as described in the Data Analysis section.


Part 2. Determination of GEW of an unknown solid acid


Obtain an unknown acid and record the unknown number in your prelab notebook. Obtain four (4) clean, dry Erlenmeyer flasks (125 mL).  Label them. Using the analytical balance, accurately weigh an amount of unknown acid into each Erlenmeyer flask. The mass of unknown acid required per titration (i.e., g unknown/titration) is written on the label of the container containing your unknown acid. The different unknown acids may require different masses per titration. Record the exact masses. To each Erlenmeyer flask add 50 mL of distilled
H2O using a graduated cylinder. Fill the burette with the standardized NaOH solution as in Part 1 and record the initial volume of the burette.  Add 2 drops of phenolphthalein to Erlenmeyer flask 1 and titrate. Record the final volume of NaOH solution. Repeat for Erlenmeyer flasks 2, 3 and 4. Verify with your instructor. Calculate the GEW of the unknown acid and identify it as described in the Data Analysis section found in the Introduction.

References

  1. Labster theory. How to read a burette [Internet]. Labster Labster, Aps.; 2023 [cited 2 Mar 2023]. Available from
  2. UNL Chemistry. Titration video [Internet]. YouTube; 2016 [cited 2 mar 2023].  Available from

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