Question
How do I calculate the mass of oxygen in a given amount of indigo dye?
Answers
GPT-4o mini
To calculate the mass of oxygen in a given amount of indigo dye (C₁₆H₁₀N₂O₂), you will need to follow these steps:
1. **Determine the molar mass of indigo dye**: You can calculate the molar mass by adding up the atomic masses of each element in the chemical formula. The approximate atomic masses are as follows:
- Carbon (C): 12.01 g/mol
- Hydrogen (H): 1.008 g/mol
- Nitrogen (N): 14.01 g/mol
- Oxygen (O): 16.00 g/mol
For indigo dye (C₁₆H₁₀N₂O₂):
- Molar mass = (16 × 12.01) + (10 × 1.008) + (2 × 14.01) + (2 × 16.00)
- Molar mass ≈ (192.16) + (10.08) + (28.02) + (32.00)
- Molar mass ≈ 262.26 g/mol
2. **Calculate the mass of oxygen in one mole of indigo dye**:
- The formula contains 2 oxygen atoms.
- The mass contributed by the oxygen atoms = 2 × 16.00 g/mol = 32.00 g/mol.
3. **Determine the proportion of oxygen in indigo dye**:
- The proportion of mass from oxygen = (Mass of oxygen in one mole of indigo dye) / (Molar mass of indigo dye)
- Proportion = 32.00 g/mol / 262.26 g/mol ≈ 0.122
4. **Find the mass of oxygen from a specific mass of indigo dye**:
- If you have a specific mass \( m \) of indigo dye, you can find the mass of oxygen by multiplying the total mass of indigo by the proportion of oxygen:
- Mass of oxygen = \( m \times 0.122 \)
5. **Example Calculation**:
- If you have, for example, 50.0 g of indigo dye:
- Mass of oxygen = 50.0 g × 0.122 ≈ 6.10 g
In summary, to find the mass of oxygen in a given amount of indigo dye, calculate the molar mass, find the mass of oxygen in one mole, determine the proportion, and then apply it to your specific mass of indigo dye.
1. **Determine the molar mass of indigo dye**: You can calculate the molar mass by adding up the atomic masses of each element in the chemical formula. The approximate atomic masses are as follows:
- Carbon (C): 12.01 g/mol
- Hydrogen (H): 1.008 g/mol
- Nitrogen (N): 14.01 g/mol
- Oxygen (O): 16.00 g/mol
For indigo dye (C₁₆H₁₀N₂O₂):
- Molar mass = (16 × 12.01) + (10 × 1.008) + (2 × 14.01) + (2 × 16.00)
- Molar mass ≈ (192.16) + (10.08) + (28.02) + (32.00)
- Molar mass ≈ 262.26 g/mol
2. **Calculate the mass of oxygen in one mole of indigo dye**:
- The formula contains 2 oxygen atoms.
- The mass contributed by the oxygen atoms = 2 × 16.00 g/mol = 32.00 g/mol.
3. **Determine the proportion of oxygen in indigo dye**:
- The proportion of mass from oxygen = (Mass of oxygen in one mole of indigo dye) / (Molar mass of indigo dye)
- Proportion = 32.00 g/mol / 262.26 g/mol ≈ 0.122
4. **Find the mass of oxygen from a specific mass of indigo dye**:
- If you have a specific mass \( m \) of indigo dye, you can find the mass of oxygen by multiplying the total mass of indigo by the proportion of oxygen:
- Mass of oxygen = \( m \times 0.122 \)
5. **Example Calculation**:
- If you have, for example, 50.0 g of indigo dye:
- Mass of oxygen = 50.0 g × 0.122 ≈ 6.10 g
In summary, to find the mass of oxygen in a given amount of indigo dye, calculate the molar mass, find the mass of oxygen in one mole, determine the proportion, and then apply it to your specific mass of indigo dye.