Explanation:
Let’s go step by step through the problem using the balanced chemical equation:
N₂(g) + 3 H₂(g) → 2 NH₃(g)
This tells us that:
- 1 molecule of nitrogen (N₂) reacts with
- 3 molecules of hydrogen (H₂) to produce
- 2 molecules of ammonia (NH₃).
So the
mole ratio (or molecule ratio, since we’re talking about individual particles here) is:
N₂ : H₂ : NH₃ = 1 : 3 : 2
Now let’s check each part.
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1a. Coefficients:
From the equation:
- N₂ has coefficient
1
- H₂ has coefficient
3
- NH₃ has coefficient
2
✔ This matches what’s written in the answer key.
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2a & 2b. Table calculations:
We’ll use the ratio 1 : 3 : 2 for each “reaction event”.
-
For a single reaction:
- N₂ consumed = 1
- H₂ consumed = 3
- NH₃ produced = 2
Ratio = 1 : 3 : 2
✔
-
If the reaction occurred 100 times:
Multiply each by 100:
- N₂ = 1 × 100 =
100
- H₂ = 3 × 100 =
300
- NH₃ = 2 × 100 =
200
Ratio = 100 : 300 : 200 → divide all by 100 →
1 : 3 : 2 ✔
-
If the reaction occurred 538 times:
- N₂ = 1 × 538 =
538
- H₂ = 3 × 538 =
1614
- NH₃ = 2 × 538 =
1076
Let’s verify:
538 × 3 = 1614 ✔️
538 × 2 = 1076 ✔️
Ratio = 538 : 1614 : 1076
To reduce: divide all by 538 →
538 ÷ 538 = 1
1614 ÷ 538 = 3
1076 ÷ 538 = 2
So reduced ratio =
1 : 3 : 2 ✔
All entries in the table are correct.
Note: The handwritten “×100” and “×538” annotations show how the numbers were scaled — that’s the right idea.
Final Answer:
The coefficients are 1 for N₂, 3 for H₂, and 2 for NH₃. For any number of reaction events, the amounts scale proportionally, and the simplified ratio is always
1 : 3 : 2.
Parent Tip: Review the logic above to help your child master the concept of molar ratio worksheet answers.