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?

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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
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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