๐Ÿ” DETECTIVE FILE 0 XP
๐Ÿ”

CLASSIFIED: Laboratory Mystery

CHM 152L • Lab 6

The Case of the Unknown Acid

Detective, an unidentified weak acid has been discovered in the chemistry lab. Your mission: perform titrations, gather evidence, and determine its true identity.

TOP SECRET


TRAINING BRIEFING

What is Titration?

Think of titration like slowly filling a cup to the brim. You have a solution with an unknown concentration (the analyte) in a flask, and you slowly add a solution of known concentration (the titrant) from a buret until the reaction is exactly complete.

That exact moment when all the acid has reacted with all the base is called the equivalence point. At the equivalence point, moles of acid = moles of base.

But how do you see the equivalence point? You use an indicator. In this lab, you will use phenolphthalein, which is colorless in acidic solutions and turns pink when the solution becomes basic. The moment you see a persistent pink color that does not fade, you have reached the endpoint.

๐Ÿงช Q1: Your Understanding (5 points)

In your own words, explain what happens at the equivalence point of an acid base titration and how phenolphthalein helps you detect it.

โœ“ Answer saved
EVIDENCE FILE #1

The Known Witness: KHP

Potassium Hydrogen Phthalate (KHP) is a primary standard, meaning its purity and molar mass are precisely known. That makes it a reliable witness for determining the concentration of your NaOH solution.

KHP reacts with NaOH in a simple 1 : 1 ratio:

KHC8H4O4 + NaOH → KNaC8H4O4 + H2O

Because the ratio is 1 : 1, moles of NaOH at the equivalence point equals moles of KHP. To find moles of KHP, use: moles = mass ÷ molar mass.

๐Ÿ“‹ Scene Evidence:

Mass of KHP: 0.511 g

Molar Mass of KHP: 204.22 g/mol

๐Ÿงช Q2: Calculate Moles of KHP (3 points)

moles = 0.511 g ÷ 204.22 g/mol = ?

Express your answer in scientific notation.

× 10^ mol
FIELD INVESTIGATION

Titration 1: Standardize NaOH

Add NaOH slowly to the KHP solution. Watch the pH rise and the indicator change. When phenolphthalein turns pink and stays pink, you have found the equivalence point.

Volume NaOH: 0.00 mL
pH: 0.00
Equiv. Point: ?
[NaOH]: ?
Clear

Tip: Use small increments (+0.5 mL) as you approach the steep part of the curve for a precise equivalence point.

EVIDENCE SECURED

Cracking the Code

Now that you found the equivalence point, you can determine the NaOH concentration. At the equivalence point:

moles NaOH = moles KHP   (1 : 1 ratio)

And concentration = moles ÷ volume (in liters). The volume is the equivalence volume you recorded from Titration 1.

Moles of KHP = 2.502 × 10โป³ mol

Equivalence Volume = complete Titration 1 first

๐Ÿงช Q3: NaOH Concentration (3 points)

Calculate the molar concentration of your NaOH solution.

concentration (M) = moles ÷ volume in liters

DECODER RING

The Henderson Hasselbalch Equation

This equation is the key tool for solving this mystery. It connects pH, pKa, and the ratio of conjugate base to weak acid:

pH = pKa + log([Aโป] / [HA])

Here is the critical insight: at the half equivalence point, exactly half the weak acid has been neutralized. That means the amount of weak acid remaining [HA] equals the amount of conjugate base formed [Aโป].

When [HA] = [Aโป], the ratio is 1, and log(1) = 0. So the equation simplifies to:

pH = pKa

This means you can read pKa directly from the titration curve at the half equivalence point. Then calculate Ka = 10−pKa.

๐Ÿ•ต๏ธ The Suspect Lineup

One of these five acids was found at the crime scene. After Titration 2, you will match your experimental Ka to identify the culprit.

Acetic Acid

CH3COOH
Ka = 1.8 × 10โปโต

???

Unknown
Ka = ???

Formic Acid

HCOOH
Ka = 1.8 × 10โปโด

Lactic Acid

C3H6O3
Ka = 1.4 × 10โปโด

Propanoic Acid

C2H5COOH
Ka = 1.3 × 10โปโต

๐Ÿงช Q4: Explain the Key Concept (5 points)

Using the Henderson Hasselbalch equation, explain step by step why pH = pKa at the half equivalence point.

โœ“ Answer saved
INVESTIGATION BRIEF

๐Ÿ”ฌ Investigating the Unknown

๐Ÿ“‹ Evidence from the scene:

Mass of unknown acid: 0.253 g (weighed on the analytical balance)

Dissolved in: 50 mL distilled water

Your standardized NaOH: 0.0991 M

Identity: UNKNOWN

Your investigation plan:

1. Titrate the unknown acid with NaOH and build the pH curve.

2. Identify the equivalence point (steep pH jump, indicator turns pink).

3. Find the half equivalence volume (half the equivalence volume).

4. Read the pH at the half equivalence point from your curve. That pH equals the pKa.

5. Calculate Ka from pKa and compare to the suspect lineup.

FIELD INVESTIGATION

Titration 2: The Mystery Acid

Titrate the unknown acid with your standardized NaOH. Watch the curve carefully. After you find the equivalence point, you will analyze the data on the next slide.

Volume NaOH: 0.00 mL
pH: 0.00
Equiv. Point: ?
Half Equiv.: ?
Clear

After the equivalence point is found, examine your curve at the half equivalence point. What is the pH there?

EVIDENCE ANALYSIS

โš—๏ธ Analyzing the Evidence

Your Titration 2 results:

Equivalence Point: complete Titration 2 first

Half Equivalence Point: complete Titration 2 first

Look at your titration curve. Find the pH where the half equivalence line crosses your data. Remember: at the half equivalence point, pH = pKa.

๐Ÿงช Q5: Determine pKa (3 points)

What is the pH at the half equivalence point? (This equals the pKa of the unknown acid.)

๐Ÿงช Q6: Calculate Ka (3 points)

Using your pKa, calculate Ka = 10−pKa

× 10^

๐Ÿงช Q7: The Accusation (5 points)

Compare your experimental Ka to the suspects. Click the acid you believe is the culprit.

Acetic Acid

CH3COOH
Ka = 1.8 × 10โปโต

Benzoic Acid

C6H5COOH
Ka = 6.3 × 10โปโต

Formic Acid

HCOOH
Ka = 1.8 × 10โปโด

Lactic Acid

C3H6O3
Ka = 1.4 × 10โปโด

Propanoic Acid

C2H5COOH
Ka = 1.3 × 10โปโต
๐ŸŽ‰

CASE SOLVED!

The unknown acid is Benzoic Acid (C6H5COOH)

Molar Mass: 122.12 g/mol

EVIDENCE PROCESSING

๐Ÿ“Š Post Lab Calculations

Before closing the case, demonstrate your mastery of acid base concepts.

Strong bases dissociate completely. For NaOH: [OHโป] = [NaOH]. Then pOH = −log[OHโป] and pH = 14 − pOH.

Conjugate base Kb: For any conjugate acid base pair, Kw = Ka × Kb. Since Kw = 1.0 × 10โปยนโด, you can find Kb = Kw ÷ Ka.

๐Ÿงช Q9: pH of a Strong Base (3 points)

What is the pH of a 0.01 M NaOH solution?

๐Ÿงช Q10: Kb of Acetate Ion (3 points)

Given Ka of acetic acid = 1.8 × 10โปโต, calculate Kb of the acetate ion (CH3COOโป).

Kb = Kw ÷ Ka = (1.0 × 10โปยนโด) ÷ (1.8 × 10โปโต)

× 10^
๐Ÿ†

Case Closed

Your detective performance report

๐Ÿ“ Official Case File

Your completed lab is ready. All your answers are saved in this file.

๐Ÿ“ค How to Submit to Canvas
  1. Click โฌ‡๏ธ Download Completed Lab above โ€” a file will save to your computer.
  2. Log in to Canvas and go to your CHM 152L course.
  3. Open the assignment: Lab Report 6: Standardization of NaOH with KHP
  4. Click Submit Assignment.
  5. Upload the file you just downloaded and click Submit.

โš ๏ธ Do not rename the file before uploading. Submit before the deadline shown on Canvas.