To calculate the molar mass of the compound C₇H₁₂N₂O₃, we need to follow these steps:
1. Determine the atomic mass of each element involved:
- Atomic mass of Carbon (C): 12.01 g/mol
- Atomic mass of Hydrogen (H): 1.01 g/mol
- Atomic mass of Nitrogen (N): 14.01 g/mol
- Atomic mass of Oxygen (O): 16.00 g/mol
2. Identify the number of atoms of each element in the compound:
- Number of Carbon atoms (C): 7
- Number of Hydrogen atoms (H): 12
- Number of Nitrogen atoms (N): 2
- Number of Oxygen atoms (O): 3
3. Calculate the total mass contributed by each element. This is done by multiplying the number of atoms by the atomic mass:
- Total mass of Carbon (C): 7 atoms 12.01 g/mol = 84.07 g/mol
- Total mass of Hydrogen (H): 12 atoms 1.01 g/mol = 12.12 g/mol
- Total mass of Nitrogen (N): 2 atoms 14.01 g/mol = 28.02 g/mol
- Total mass of Oxygen (O): 3 atoms 16.00 g/mol = 48.00 g/mol
4. Sum up the masses to find the molar mass of the entire compound:
- Molar mass of C₇H₁₂N₂O₃ = Total mass of Carbon + Total mass of Hydrogen + Total mass of Nitrogen + Total mass of Oxygen
- Molar mass of C₇H₁₂N₂O₃ = 84.07 g/mol + 12.12 g/mol + 28.02 g/mol + 48.00 g/mol
5. Add these values together to get the final molar mass:
- Molar mass of C₇H₁₂N₂O₃ = 84.07 + 12.12 + 28.02 + 48.00 = 172.21 g/mol
Therefore, the molar mass of the compound C₇H₁₂N₂O₃ is 172.21 g/mol.
