To determine the molar mass of urea, we first need to understand its chemical formula, which is CO(NH₂)₂. This formula indicates that urea consists of one carbon atom, one oxygen atom, and two amine groups (each containing one nitrogen atom and two hydrogen atoms). Let's break down the calculation step by step.
Identifying Atomic Masses
Each element in urea has a specific atomic mass, which can typically be found on the periodic table:
- Carbon (C): Approximately 12.01 g/mol
- Oxygen (O): Approximately 16.00 g/mol
- Nitrogen (N): Approximately 14.01 g/mol
- Hydrogen (H): Approximately 1.01 g/mol
Calculating the Molar Mass
Now, we can calculate the molar mass of urea by adding the contributions from each atom in the formula:
- 1 Carbon: 1 × 12.01 g/mol = 12.01 g/mol
- 1 Oxygen: 1 × 16.00 g/mol = 16.00 g/mol
- 2 Nitrogens: 2 × 14.01 g/mol = 28.02 g/mol
- 4 Hydrogens: 4 × 1.01 g/mol = 4.04 g/mol
Summing It All Up
Now, we add these values together to find the total molar mass of urea:
12.01 g/mol (C) + 16.00 g/mol (O) + 28.02 g/mol (N) + 4.04 g/mol (H) = 60.07 g/mol
Final Result
Therefore, the molar mass of urea is approximately 60.07 g/mol. This value is essential in various applications, such as stoichiometry in chemical reactions, where knowing the exact mass of a compound can help you calculate the amounts needed for reactions accurately.
In summary, by identifying the atomic masses of the constituent elements and summing them based on their quantities in the molecular formula, we can easily determine the molar mass of urea. This process is applicable to any compound, making it a fundamental skill in chemistry.