Morphine (C1„H19NO3) is a painkiller in the opiate family. A sample of morphine was discovered that had been diluted by mixing with table salt (sodium chloride). When 2.00 g of the mixture undergoes combustion, 4.37 g What is the mass percent of morphine in the mixture? of CO2 is produced.

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### Morphine Mixture Analysis

**Problem Statement:**

Morphine (\(C_{17}H_{19}NO_{3}\)) is a painkiller in the opiate family. A sample of morphine was discovered that had been diluted by mixing with table salt (sodium chloride). When 2.00 g of the mixture undergoes combustion, 4.37 g of \(CO_{2}\) is produced. What is the mass percent of morphine in the mixture?

**Details:**

- The section is part of a quiz, specifically **Question 20 of 30**.
- There is an interactive component that allows input of answers indicating the mass percent, possibly through a virtual keypad with digits and basic operations.

**How to Solve:**

To determine the mass percent of morphine in the mixture, follow these steps:

1. **Calculate the Moles of \(CO_{2}\):**  
   Use the molar mass of \(CO_{2}\) (44.01 g/mol) to convert the 4.37 g of \(CO_{2}\) to moles.

2. **Determine the Moles of Carbon:**  
   Since each mole of \(CO_{2}\) contains one mole of carbon, the moles of carbon produced in combustion comes directly from the moles of \(CO_{2}\).

3. **Relate to Morphine's Carbon Count:**  
   Morphine contains 17 carbon atoms per molecule. Use the stoichiometry to find how much morphine creates the calculated moles of carbon.

4. **Compute Mass of Morphine:**  
   Multiply the moles of morphine by its molar mass to get the grams of morphine present originally.

5. **Find Mass Percent:**  
   Use the formula:
   
   \[
   \text{Mass Percent} = \left( \frac{\text{Mass of Morphine}}{\text{Total Mass of Mixture}} \right) \times 100
   \]

6. **Input answer in the provided interface**, ensuring to use any provided tools effectively.

This approach enables the determination of morphological content in a diluted sample through combustion analysis.
Transcribed Image Text:### Morphine Mixture Analysis **Problem Statement:** Morphine (\(C_{17}H_{19}NO_{3}\)) is a painkiller in the opiate family. A sample of morphine was discovered that had been diluted by mixing with table salt (sodium chloride). When 2.00 g of the mixture undergoes combustion, 4.37 g of \(CO_{2}\) is produced. What is the mass percent of morphine in the mixture? **Details:** - The section is part of a quiz, specifically **Question 20 of 30**. - There is an interactive component that allows input of answers indicating the mass percent, possibly through a virtual keypad with digits and basic operations. **How to Solve:** To determine the mass percent of morphine in the mixture, follow these steps: 1. **Calculate the Moles of \(CO_{2}\):** Use the molar mass of \(CO_{2}\) (44.01 g/mol) to convert the 4.37 g of \(CO_{2}\) to moles. 2. **Determine the Moles of Carbon:** Since each mole of \(CO_{2}\) contains one mole of carbon, the moles of carbon produced in combustion comes directly from the moles of \(CO_{2}\). 3. **Relate to Morphine's Carbon Count:** Morphine contains 17 carbon atoms per molecule. Use the stoichiometry to find how much morphine creates the calculated moles of carbon. 4. **Compute Mass of Morphine:** Multiply the moles of morphine by its molar mass to get the grams of morphine present originally. 5. **Find Mass Percent:** Use the formula: \[ \text{Mass Percent} = \left( \frac{\text{Mass of Morphine}}{\text{Total Mass of Mixture}} \right) \times 100 \] 6. **Input answer in the provided interface**, ensuring to use any provided tools effectively. This approach enables the determination of morphological content in a diluted sample through combustion analysis.
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