When equal weights of the two fertilizers, urea and ammonium sulphate are taken, urea contains

Options

A. Less nitrogen than ammonium sulphate
B. As much nitrogen as ammonium sulphate
C. Twice the amount of nitrogen present in ammonium sulphate
D. More than twice the amount of nitrogen present in ammonium sulphate

Answer

To solve the question regarding the nitrogen content in urea and ammonium sulfate when equal weights of both fertilizers are taken, we can follow these steps:

### Step 1: Identify the Chemical Formulas
- Urea has the chemical formula \( \text{NH}_2\text{CO}\text{NH}_2 \).
- Ammonium sulfate has the chemical formula \( \text{(NH}_4)_2\text{SO}_4 \).

### Step 2: Calculate the Molar Mass
- The molar mass of urea (\( \text{NH}_2\text{CO}\text{NH}_2 \)):
- Nitrogen (N): 14 g/mol (2 Nitrogens = 28 g/mol)
- Carbon (C): 12 g/mol
- Oxygen (O): 16 g/mol
- Total: \( 28 + 12 + 16 = 56 \) g/mol

- The molar mass of ammonium sulfate (\( \text{(NH}_4)_2\text{SO}_4 \)):
- Nitrogen (N): 14 g/mol (2 Nitrogens = 28 g/mol)
- Hydrogen (H): 1 g/mol (8 Hydrogens = 8 g/mol)
- Sulfur (S): 32 g/mol
- Oxygen (O): 16 g/mol (4 Oxygens = 64 g/mol)
- Total: \( 28 + 8 + 32 + 64 = 132 \) g/mol

### Step 3: Determine the Percentage of Nitrogen
- Percentage of nitrogen in urea:
\[ \text{Percentage of N in urea} = \left( \frac{28}{56} \right) \times 100 = 50\% \]

- Percentage of nitrogen in ammonium sulfate:
\[ \text{Percentage of N in ammonium sulfate} = \left( \frac{28}{132} \right) \times 100 \approx 21.21\% \]

### Step 4: Compare the Nitrogen Content
When equal weights of urea and ammonium sulfate are taken, we can compare the nitrogen content:
- For 100 g of urea, the nitrogen content is \( 50\% \times 100 \, \text{g} = 50 \, \text{g} \).
- For 100 g of ammonium sulfate, the nitrogen content is \( 21.21\% \times 100 \, \text{g} \approx 21.21 \, \text{g} \).

### Step 5: Conclusion
Since urea contains approximately 50 g of nitrogen while ammonium sulfate contains approximately 21.21 g of nitrogen, we can conclude that urea contains more than twice the amount of nitrogen compared to ammonium sulfate.

Thus, the correct answer is that urea contains more than twice the amount of nitrogen present in ammonium sulfate.

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