Among the following, choose the ones with equal number of atoms.
A. 212 g of Na2CO3 (s) [molar mass = 106 g]
B. 248 g of Na2O (s) [molar mass = 62 g]
C. 240 g of NaOH (s) [molar mass = 40 g]
D. 12 g of H2 (g) [molar mass = 2 g]
E. 220 g of CO2 (g) [molar mass = 44 g]
Choose the correct answer from the options given below:
Correct Answer :
A, B, and D only
Solution :
The correct option is A, B, and D only.
To find the ones with an equal number of atoms, we need to calculate the total number of atoms in each given sample. The total number of atoms in a substance can be calculated using the formula:
Number of atoms = (Mass of substance / Molar mass) × Number of atoms per formula unit/molecule × NA
where NA is Avogadro's number ().
Let's calculate the total number of atoms for each case step-by-step:
A. 212 g of Na2CO3 (s) [molar mass = 106 g/mol]
Number of moles of Na2CO3 =
Each formula unit of Na2CO3 contains 2 Na + 1 C + 3 O = 6 atoms.
Total number of atoms =
B. 248 g of Na2O (s) [molar mass = 62 g/mol]
Number of moles of Na2O =
Each formula unit of Na2O contains 2 Na + 1 O = 3 atoms.
Total number of atoms =
C. 240 g of NaOH (s) [molar mass = 40 g/mol]
Number of moles of NaOH =
Each formula unit of NaOH contains 1 Na + 1 O + 1 H = 3 atoms.
Total number of atoms =
D. 12 g of H2 (g) [molar mass = 2 g/mol]
Number of moles of H2 =
Each molecule of H2 contains 2 H atoms.
Total number of atoms =
E. 220 g of CO2 (g) [molar mass = 44 g/mol]
Number of moles of CO2 =
Each molecule of CO2 contains 1 C + 2 O = 3 atoms.
Total number of atoms =
Comparing the total number of atoms calculated:
- A has 12 NA atoms.
- B has 12 NA atoms.
- C has 18 NA atoms.
- D has 12 NA atoms.
- E has 15 NA atoms.
Therefore, samples A, B, and D contain an equal number of atoms.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.