Suppose a certain fertilizer has the following composition: ingredient ammonium phosphate ((NH₂)¸PO4) a ((NH,),CO) potassium sulfate (K₂SO4) urea inert ingredients percent by mass 14% 36% 44% 6% What should the first (nitrogen) number on the bag label be? That is, calculate the percent by mass of nitrogen in this fertilizer. Round your answer to the nearest percent.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
To help farmers and gardeners, commercial fertilizers have a big three-number "NPK" label on the bag that gives the amounts of three key plant nutrients: nitrogen, phosphorus, and potassium. For example, a bag of "10–10–10" fertilizer has 10% by mass nitrogen, 10% by mass potassium as potash (K₂O), and 10% by mass phosphorus as phosphate (P₂O₅).

Suppose a certain fertilizer has the following composition:

| Ingredient                      | Percent by Mass |
|---------------------------------|-----------------|
| Ammonium phosphate ((NH₄)₃PO₄)  | 14%             |
| Urea ((NH₂)₂CO)                 | 36%             |
| Potassium sulfate (K₂SO₄)       | 44%             |
| Inert ingredients               | 6%              |

What should the first (nitrogen) number on the bag label be? That is, calculate the percent by mass of nitrogen in this fertilizer. Round your answer to the nearest percent.

**Explanation:**

To find the nitrogen content, we calculate the contribution of nitrogen from each nitrogen-containing compound.

1. **Ammonium phosphate ((NH₄)₃PO₄)**:
   - Contains three ammonium ions, each with one nitrogen atom. 
   - Molar mass of ammonium phosphate ≈ 149 g/mol
   - Molar mass of nitrogen in (NH₄)₃PO₄ = 3 x 14 g/mol = 42 g/mol
   - Percent nitrogen in (NH₄)₃PO₄ = (42/149) x 100 ≈ 28.19%
   - Contribution to fertilizer: 14% (mass) x 28.19% ≈ 3.9466%

2. **Urea ((NH₂)₂CO)**:
   - Contains two nitrogen atoms.
   - Molar mass of urea ≈ 60 g/mol
   - Molar mass of nitrogen in urea = 2 x 14 g/mol = 28 g/mol
   - Percent nitrogen in urea = (28/60) x 100 ≈ 46.67%
   - Contribution to fertilizer: 36% (mass) x 46.67% ≈ 16.8%

Add both contributions: 

3.9466% +
Transcribed Image Text:To help farmers and gardeners, commercial fertilizers have a big three-number "NPK" label on the bag that gives the amounts of three key plant nutrients: nitrogen, phosphorus, and potassium. For example, a bag of "10–10–10" fertilizer has 10% by mass nitrogen, 10% by mass potassium as potash (K₂O), and 10% by mass phosphorus as phosphate (P₂O₅). Suppose a certain fertilizer has the following composition: | Ingredient | Percent by Mass | |---------------------------------|-----------------| | Ammonium phosphate ((NH₄)₃PO₄) | 14% | | Urea ((NH₂)₂CO) | 36% | | Potassium sulfate (K₂SO₄) | 44% | | Inert ingredients | 6% | What should the first (nitrogen) number on the bag label be? That is, calculate the percent by mass of nitrogen in this fertilizer. Round your answer to the nearest percent. **Explanation:** To find the nitrogen content, we calculate the contribution of nitrogen from each nitrogen-containing compound. 1. **Ammonium phosphate ((NH₄)₃PO₄)**: - Contains three ammonium ions, each with one nitrogen atom. - Molar mass of ammonium phosphate ≈ 149 g/mol - Molar mass of nitrogen in (NH₄)₃PO₄ = 3 x 14 g/mol = 42 g/mol - Percent nitrogen in (NH₄)₃PO₄ = (42/149) x 100 ≈ 28.19% - Contribution to fertilizer: 14% (mass) x 28.19% ≈ 3.9466% 2. **Urea ((NH₂)₂CO)**: - Contains two nitrogen atoms. - Molar mass of urea ≈ 60 g/mol - Molar mass of nitrogen in urea = 2 x 14 g/mol = 28 g/mol - Percent nitrogen in urea = (28/60) x 100 ≈ 46.67% - Contribution to fertilizer: 36% (mass) x 46.67% ≈ 16.8% Add both contributions: 3.9466% +
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Stoichiometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY