A student extracted 2.3521g of lycopene from tomato paste. The solid was placed it into a 20 ml volumetric flask and added solvent to the line. 2 ml of this solution was removed using a 2 ml volumetric pipet and placed into a 10 ml graduated cylinder and solvent was added to the 10 ml mark. What was the concentration of the dilute solution?
A student extracted 2.3521g of lycopene from tomato paste. The solid was placed it into a 20 ml volumetric flask and added solvent to the line. 2 ml of this solution was removed using a 2 ml volumetric pipet and placed into a 10 ml graduated cylinder and solvent was added to the 10 ml mark. What was the concentration of the dilute solution?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Problem Statement: Lycopene Extraction and Dilution
A student extracted 2.3521 grams of lycopene from tomato paste. The extracted solid was placed into a 20 milliliter (ml) volumetric flask and solvent was added to the calibration line. From this prepared solution, 2 ml was removed using a 2 ml volumetric pipet. This 2 ml sample was then transferred into a 10 ml graduated cylinder, and solvent was added until the total volume reached the 10 ml mark.
**Question:**
What was the concentration of the dilute solution?
---
### Step-by-Step Explanation:
1. **Initial Concentration Calculation:**
- The student initially dissolved 2.3521 grams of lycopene in 20 ml of solvent.
- To find the initial concentration (C1), use the formula:
\[
C1 = \frac{\text{mass of lycopene}}{\text{volume of solution in liters}}
\]
Convert the volume from milliliters to liters:
\[
20 \, \text{ml} = 0.020 \, \text{L}
\]
Therefore:
\[
C1 = \frac{2.3521 \, \text{g}}{0.020 \, \text{L}} = 117.605 \, \text{g/L}
\]
2. **Dilution Process:**
- 2 ml of the initial solution is taken out. This is done to prepare a new, diluted solution.
- This 2 ml solution is then added to a 10 ml graduated cylinder, and solvent is added up to the 10 ml mark.
3. **Concentration of Diluted Solution:**
- To find the concentration of the new diluted solution (C2), use the dilution formula:
\[
C1 V1 = C2 V2
\]
Where:
- \( C1 \) = 117.605 g/L (initial concentration)
- \( V1 \) = 2 ml (volume of the initial solution taken)
- \( V2 \) = 10 ml (final volume after dilution)
- Rearrange the formula to solve for \( C2 \):
\[
C2 = \frac{C1 \times V1}{V](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F206206aa-1104-4dbc-9e08-21639f631eee%2Ffe0d240a-1eb0-4dc0-802d-a09675b4ab5a%2Fyai24o_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement: Lycopene Extraction and Dilution
A student extracted 2.3521 grams of lycopene from tomato paste. The extracted solid was placed into a 20 milliliter (ml) volumetric flask and solvent was added to the calibration line. From this prepared solution, 2 ml was removed using a 2 ml volumetric pipet. This 2 ml sample was then transferred into a 10 ml graduated cylinder, and solvent was added until the total volume reached the 10 ml mark.
**Question:**
What was the concentration of the dilute solution?
---
### Step-by-Step Explanation:
1. **Initial Concentration Calculation:**
- The student initially dissolved 2.3521 grams of lycopene in 20 ml of solvent.
- To find the initial concentration (C1), use the formula:
\[
C1 = \frac{\text{mass of lycopene}}{\text{volume of solution in liters}}
\]
Convert the volume from milliliters to liters:
\[
20 \, \text{ml} = 0.020 \, \text{L}
\]
Therefore:
\[
C1 = \frac{2.3521 \, \text{g}}{0.020 \, \text{L}} = 117.605 \, \text{g/L}
\]
2. **Dilution Process:**
- 2 ml of the initial solution is taken out. This is done to prepare a new, diluted solution.
- This 2 ml solution is then added to a 10 ml graduated cylinder, and solvent is added up to the 10 ml mark.
3. **Concentration of Diluted Solution:**
- To find the concentration of the new diluted solution (C2), use the dilution formula:
\[
C1 V1 = C2 V2
\]
Where:
- \( C1 \) = 117.605 g/L (initial concentration)
- \( V1 \) = 2 ml (volume of the initial solution taken)
- \( V2 \) = 10 ml (final volume after dilution)
- Rearrange the formula to solve for \( C2 \):
\[
C2 = \frac{C1 \times V1}{V
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