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The percentage of nitrogen in urea is:...

The percentage of nitrogen in urea is:

A

46

B

23

C

48

D

52

Text Solution

AI Generated Solution

The correct Answer is:
To find the percentage of nitrogen in urea (NH2CO), we will follow these steps: ### Step 1: Determine the molecular formula of urea. Urea has the molecular formula NH2CO, which consists of: - 2 Nitrogen (N) atoms - 1 Carbon (C) atom - 1 Oxygen (O) atom - 4 Hydrogen (H) atoms ### Step 2: Calculate the molar mass of urea. To find the molar mass, we need to sum the atomic masses of all the atoms in the molecular formula: - Nitrogen (N): 14 g/mol (2 atoms) = 2 × 14 = 28 g/mol - Carbon (C): 12 g/mol (1 atom) = 1 × 12 = 12 g/mol - Oxygen (O): 16 g/mol (1 atom) = 1 × 16 = 16 g/mol - Hydrogen (H): 1 g/mol (4 atoms) = 4 × 1 = 4 g/mol Now, we add these together: \[ \text{Total molar mass} = 28 + 12 + 16 + 4 = 60 \text{ g/mol} \] ### Step 3: Calculate the total mass of nitrogen in urea. The total mass of nitrogen in urea is: \[ \text{Mass of N} = 28 \text{ g/mol} \] ### Step 4: Calculate the percentage of nitrogen in urea. To find the percentage of nitrogen, we use the formula: \[ \text{Percentage of N} = \left( \frac{\text{Mass of N}}{\text{Total molar mass of urea}} \right) \times 100 \] Substituting the values: \[ \text{Percentage of N} = \left( \frac{28}{60} \right) \times 100 \] \[ \text{Percentage of N} = 0.4667 \times 100 \approx 46.67\% \] ### Final Answer: The percentage of nitrogen in urea is approximately **46.67%**. ---
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