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 :
To find the options with an equal number of atoms, we need to calculate the total number of atoms in each given sample. The number of atoms in a sample can be calculated using the formula:
where is Avogadro's number ().
Since is a constant, we can compare the quantity:
Let's calculate this value for each option step-by-step:
A. 212 g of (s) [molar mass = 106 g/mol]
Moles of = .
One formula unit of contains 2 Na + 1 C + 3 O = 6 atoms.
Total moles of atoms = (or atoms).
B. 248 g of (s) [molar mass = 62 g/mol]
Moles of = .
One formula unit of contains 2 Na + 1 O = 3 atoms.
Total moles of atoms = (or atoms).
C. 240 g of (s) [molar mass = 40 g/mol]
Moles of = .
One formula unit of contains 1 Na + 1 O + 1 H = 3 atoms.
Total moles of atoms = (or atoms).
D. 12 g of (g) [molar mass = 2 g/mol]
Moles of = .
One molecule of contains 2 atoms.
Total moles of atoms = (or atoms).
E. 220 g of (g) [molar mass = 44 g/mol]
Moles of = .
One molecule of contains 1 C + 2 O = 3 atoms.
Total moles of atoms = (or atoms).
Comparing the total moles of atoms:
- A has 12 moles of atoms.
- B has 12 moles of atoms.
- C has 18 moles of atoms.
- D has 12 moles of atoms.
- E has 15 moles of atoms.
Thus, options 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.