Absolutely! I’ll solve each problem step by step, showing you how to calculate the
percent composition of each element in a compound.
---
🔢 Percent Composition Formula:
>
% Element = (Total mass of element in 1 mole of compound / Molar mass of compound) × 100%
We’ll use atomic masses from the periodic table (rounded to two decimal places for accuracy):
- Na = 22.99 g/mol
- Cl = 35.45 g/mol
- Ca = 40.08 g/mol
- N = 14.01 g/mol
- Fe = 55.85 g/mol
- S = 32.07 g/mol
- O = 16.00 g/mol
- K = 39.10 g/mol
- Cr = 52.00 g/mol
- Mn = 54.94 g/mol
- P = 30.97 g/mol
---
##
✔ 1. NaCl
Molar mass of NaCl = 22.99 + 35.45 =
58.44 g/mol
a. % of Na = (22.99 / 58.44) × 100% ≈
39.34%
b. % of Cl = (35.45 / 58.44) × 100% ≈
60.66%
✔ Answer:
a. 39.34%
b. 60.66%
---
##
✔ 2. Ca₃N₂
Molar mass = (3 × 40.08) + (2 × 14.01) = 120.24 + 28.02 =
148.26 g/mol
a. % of Ca = (120.24 / 148.26) × 100% ≈
81.10%
b. % of N = (28.02 / 148.26) × 100% ≈
18.90%
✔ Answer:
a. 81.10%
b. 18.90%
---
##
✔ 3. Fe₂(SO₄)₃
This is iron(III) sulfate.
First, break down the formula:
- Fe: 2 atoms → 2 × 55.85 = 111.70 g
- S: 3 atoms → 3 × 32.07 = 96.21 g
- O: 12 atoms (because 4 O per SO₄, and 3 SO₄ groups) → 12 × 16.00 = 192.00 g
Molar mass = 111.70 + 96.21 + 192.00 =
399.91 g/mol
a. % of Fe = (111.70 / 399.91) × 100% ≈
27.93%
b. % of S = (96.21 / 399.91) × 100% ≈
24.06%
c. % of O = (192.00 / 399.91) × 100% ≈
48.01%
✔ Answer:
a. 27.93%
b. 24.06%
c. 48.01%
*(Check: 27.93 + 24.06 + 48.01 = 100.00 — perfect!)*
---
##
✔ 4. K₂Cr₂O₇
Potassium dichromate.
- K: 2 × 39.10 = 78.20 g
- Cr: 2 × 52.00 = 104.00 g
- O: 7 × 16.00 = 112.00 g
Molar mass = 78.20 + 104.00 + 112.00 =
294.20 g/mol
a. % of K = (78.20 / 294.20) × 100% ≈
26.58%
b. % of Cr = (104.00 / 294.20) × 100% ≈
35.35%
c. % of O = (112.00 / 294.20) × 100% ≈
38.07%
✔ Answer:
a. 26.58%
b. 35.35%
c. 38.07%
*(Check: 26.58 + 35.35 + 38.07 = 100.00 — good!)*
---
##
✔ 5. Mn₃P₇
- Mn: 3 × 54.94 = 164.82 g
- P: 7 × 30.97 = 216.79 g
Molar mass = 164.82 + 216.79 =
381.61 g/mol
a. % of Mn = (164.82 / 381.61) × 100% ≈
43.19%
b. % of P = (216.79 / 381.61) × 100% ≈
56.81%
✔ Answer:
a. 43.19%
b. 56.81%
*(Check: 43.19 + 56.81 = 100.00 — perfect!)*
---
## 📝 Final Answers Summary:
1. NaCl
a. % Na =
39.34%
b. % Cl =
60.66%
2. Ca₃N₂
a. % Ca =
81.10%
b. % N =
18.90%
3. Fe₂(SO₄)₃
a. % Fe =
27.93%
b. % S =
24.06%
c. % O =
48.01%
4. K₂Cr₂O₇
a. % K =
26.58%
b. % Cr =
35.35%
c. % O =
38.07%
5. Mn₃P₇
a. % Mn =
43.19%
b. % P =
56.81%
---
Let me know if you want to see the work written out on paper-style or need help with more problems! 😊
Parent Tip: Review the logic above to help your child master the concept of percentage composition worksheet.