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All the substance listed below are ferti...

All the substance listed below are fertilizers that contribute nitrogen to the soil. Which of these is the richest source of nitrogen on a mass percentage basis ?

A

Urea ,`(NH_(2))_(2) CO`

B

Ammonium nitrate ,`NH_(4)NO_(3)`

C

Nitric oxide , NO

D

Ammonia , `NH_(3)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which fertilizer is the richest source of nitrogen on a mass percentage basis, we need to calculate the mass percentage of nitrogen in each compound listed. Here’s how to do it step by step: ### Step 1: Calculate the Molecular Weight of Each Compound 1. **Urea (NH2)2CO** - Nitrogen (N): 2 atoms × 14 g/mol = 28 g/mol - Hydrogen (H): 4 atoms × 1 g/mol = 4 g/mol - Carbon (C): 1 atom × 12 g/mol = 12 g/mol - Oxygen (O): 1 atom × 16 g/mol = 16 g/mol - **Total Molecular Weight of Urea** = 28 + 4 + 12 + 16 = 60 g/mol 2. **Ammonium Nitrate (NH4NO3)** - Nitrogen (N): 2 atoms × 14 g/mol = 28 g/mol - Hydrogen (H): 4 atoms × 1 g/mol = 4 g/mol - Oxygen (O): 3 atoms × 16 g/mol = 48 g/mol - **Total Molecular Weight of Ammonium Nitrate** = 28 + 4 + 48 = 80 g/mol 3. **Nitric Acid (HNO3)** - Nitrogen (N): 1 atom × 14 g/mol = 14 g/mol - Hydrogen (H): 1 atom × 1 g/mol = 1 g/mol - Oxygen (O): 3 atoms × 16 g/mol = 48 g/mol - **Total Molecular Weight of Nitric Acid** = 14 + 1 + 48 = 63 g/mol 4. **Ammonia (NH3)** - Nitrogen (N): 1 atom × 14 g/mol = 14 g/mol - Hydrogen (H): 3 atoms × 1 g/mol = 3 g/mol - **Total Molecular Weight of Ammonia** = 14 + 3 = 17 g/mol ### Step 2: Calculate the Mass Percentage of Nitrogen in Each Compound 1. **Urea** - Mass Percentage of Nitrogen = (Weight of Nitrogen / Total Weight) × 100 - = (28 g/mol / 60 g/mol) × 100 = 46.67% 2. **Ammonium Nitrate** - Mass Percentage of Nitrogen = (28 g/mol / 80 g/mol) × 100 = 35% 3. **Nitric Acid** - Mass Percentage of Nitrogen = (14 g/mol / 63 g/mol) × 100 = 22.22% 4. **Ammonia** - Mass Percentage of Nitrogen = (14 g/mol / 17 g/mol) × 100 = 82.35% ### Step 3: Compare the Mass Percentages - Urea: 46.67% - Ammonium Nitrate: 35% - Nitric Acid: 22.22% - Ammonia: 82.35% ### Conclusion The richest source of nitrogen on a mass percentage basis is **Ammonia (NH3)** with a mass percentage of **82.35%**.
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