Answer: Molar mass of urea (CH4N2O) is 60.06 g/mol.
Molar Mass of Urea
The chemical formula of Urea is CH4N2O. The molar mass of Urea is calculated by adding the molar masses of its constituent atoms— carbon(C), hydrogen (H), nitrogen(N), and oxygen (O).
In this guide, we will explain how to calculate the molar mass of urea using formula with detailed step by step calculations.
Understanding Molar Mass
Molar mass is the mass of one mole of a substance, expressed in grams per mole (g/mol). A mole represents \(6.022 \times 10^{23}\) particles, such as atoms or molecules, and molar mass is essential for converting between the mass of a substance and the number of moles in chemical reactions.
To calculate the molar mass of urea (CH4N2O), we need to account for the molar masses of carbon (C), hydrogen (H), nitrogen (N), and oxygen (O), as urea contains one carbon atom, four hydrogen atoms, two nitrogen atoms, and one oxygen atom.
Molar Masses of Carbon, Hydrogen, Nitrogen, and Oxygen
Here are the molar masses of the elements present in urea:
- Carbon (C): The molar mass of carbon is approximately 12.01 g/mol.
- Hydrogen (H): The molar mass of hydrogen is approximately 1.008 g/mol.
- Nitrogen (N): The molar mass of nitrogen is approximately 14.01 g/mol.
- Oxygen (O): The molar mass of oxygen is approximately 16.00 g/mol.
Since urea (CH4N2O) contains one carbon atom, four hydrogen atoms, two nitrogen atoms, and one oxygen atom, we will use these values in the calculation.
Formula for Calculating Molar Mass
The molar mass of a compound is calculated using the following formula:
\[ \text{Molar Mass of Compound} = \sum (\text{Number of Atoms} \times \text{Molar Mass of Element}) \]
For urea (CH4N2O), the formula becomes:
\[ \text{Molar Mass of CH}_4\text{N}_2\text{O} = (1 \times \text{Molar Mass of C}) + (4 \times \text{Molar Mass of H}) + (2 \times \text{Molar Mass of N}) + (1 \times \text{Molar Mass of O}) \]
Step-by-Step Calculation
Let’s now calculate the molar mass of urea step by step:
Step 1: Multiply the molar mass of carbon (C) by the number of carbon atoms in urea:
\[ 1 \times 12.01 \, \text{g/mol} = 12.01 \, \text{g/mol} \]
Step 2: Multiply the molar mass of hydrogen (H) by the number of hydrogen atoms in urea:
\[ 4 \times 1.008 \, \text{g/mol} = 4.032 \, \text{g/mol} \]
Step 3: Multiply the molar mass of nitrogen (N) by the number of nitrogen atoms in urea:
\[ 2 \times 14.01 \, \text{g/mol} = 28.02 \, \text{g/mol} \]
Step 4: Multiply the molar mass of oxygen (O) by the number of oxygen atoms in urea:
\[ 1 \times 16.00 \, \text{g/mol} = 16.00 \, \text{g/mol} \]
Step 5: Add the values from steps 1, 2, 3, and 4 to find the total molar mass of urea:
\[ \text{Molar Mass of CH}_4\text{N}_2\text{O} = 12.01 \, \text{g/mol} + 4.032 \, \text{g/mol} + 28.02 \, \text{g/mol} + 16.00 \, \text{g/mol} \]
\[ \text{Molar Mass of CH}_4\text{N}_2\text{O} = 60.06 \, \text{g/mol} \]
Final Molar Mass of Urea
The molar mass of urea (CH4N2O) is approximately 60.06 g/mol. This value is critical for determining the correct amounts of urea to use in fertilizers, chemical reactions, and biological processes.
Conclusion
The molar mass of urea (CH4N2O) is 60.06 g/mol, calculated by summing the molar masses of one carbon atom, four hydrogen atoms, two nitrogen atoms, and one oxygen atom.