Determine the mass of citric acid per 240 mL of the vegtable juice.

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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4. Determine the mass of citric acid per 240 mL of the vegtable juice. 

**Titration Analysis of Vegetable Juice**

The following questions pertain to a titration experiment analyzing citric acid in a vegetable juice sample.

**Experimental Data:**

- A 24.8 mL sample of vegetable juice is titrated with 15.65 mL of NaOH solution.
- The molar concentration of the NaOH solution is 0.106 M.
- The molar mass of citric acid is 192.12 g/mol.

**Instructions:**
- All answers should be expressed with 3 significant figures using appropriate units.

### Questions:

**2. Determine the molar concentration of citric acid in the vegetable juice sample.**

- Calculation: 
  - Moles of NaOH used = 15.65 mL × 0.106 M = 1.6589 mmol
  - Moles of citric acid = 1.6589 mmol (since it's a 1:1 titration)
  - Molar concentration = 1.6589 mmol / 24.8 mL = 0.0665444 M
  - Answer: 0.0665 M

**3. Determine the number of moles of citric acid per 240 mL of the vegetable juice.**

- Use the molar concentration from Question 2 to calculate the moles in 240 mL.

**4. Determine the mass of citric acid per 240 mL of the vegetable juice.**

- Use the molar mass of citric acid to convert moles from Question 3 to grams.

**5. If the label on the bottle lists the citric acid content as 1 g per serving with a serving size of 240 mL, determine the percent error in the titration results. Express result with 2 significant figures.**

- Calculate the percent error based on the difference between the experimental and label values.
- Formula: Percent Error = [(Experimental Value - Label Value) / Label Value] × 100%

This setup provides a comprehensive guide for students to engage with real-world chemical analysis applications.
Transcribed Image Text:**Titration Analysis of Vegetable Juice** The following questions pertain to a titration experiment analyzing citric acid in a vegetable juice sample. **Experimental Data:** - A 24.8 mL sample of vegetable juice is titrated with 15.65 mL of NaOH solution. - The molar concentration of the NaOH solution is 0.106 M. - The molar mass of citric acid is 192.12 g/mol. **Instructions:** - All answers should be expressed with 3 significant figures using appropriate units. ### Questions: **2. Determine the molar concentration of citric acid in the vegetable juice sample.** - Calculation: - Moles of NaOH used = 15.65 mL × 0.106 M = 1.6589 mmol - Moles of citric acid = 1.6589 mmol (since it's a 1:1 titration) - Molar concentration = 1.6589 mmol / 24.8 mL = 0.0665444 M - Answer: 0.0665 M **3. Determine the number of moles of citric acid per 240 mL of the vegetable juice.** - Use the molar concentration from Question 2 to calculate the moles in 240 mL. **4. Determine the mass of citric acid per 240 mL of the vegetable juice.** - Use the molar mass of citric acid to convert moles from Question 3 to grams. **5. If the label on the bottle lists the citric acid content as 1 g per serving with a serving size of 240 mL, determine the percent error in the titration results. Express result with 2 significant figures.** - Calculate the percent error based on the difference between the experimental and label values. - Formula: Percent Error = [(Experimental Value - Label Value) / Label Value] × 100% This setup provides a comprehensive guide for students to engage with real-world chemical analysis applications.
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